xref: /petsc/src/snes/tutorials/ex12.c (revision e600fa544e2bb197ca2af9b6e65ea465976dec56)
1 static char help[] = "Poisson Problem in 2d and 3d with simplicial finite elements.\n\
2 We solve the Poisson problem in a rectangular\n\
3 domain, using a parallel unstructured mesh (DMPLEX) to discretize it.\n\
4 This example supports discretized auxiliary fields (conductivity) as well as\n\
5 multilevel nonlinear solvers.\n\n\n";
6 
7 /*
8 A visualization of the adaptation can be accomplished using:
9 
10   -dm_adapt_view hdf5:$PWD/adapt.h5 -sol_adapt_view hdf5:$PWD/adapt.h5::append -dm_adapt_pre_view hdf5:$PWD/orig.h5 -sol_adapt_pre_view hdf5:$PWD/orig.h5::append
11 
12 Information on refinement:
13 
14    -info :~sys,vec,is,mat,ksp,snes,ts
15 */
16 
17 #include <petscdmplex.h>
18 #include <petscdmadaptor.h>
19 #include <petscsnes.h>
20 #include <petscds.h>
21 #include <petscviewerhdf5.h>
22 
23 typedef enum {NEUMANN, DIRICHLET, NONE} BCType;
24 typedef enum {RUN_FULL, RUN_EXACT, RUN_TEST, RUN_PERF} RunType;
25 typedef enum {COEFF_NONE, COEFF_ANALYTIC, COEFF_FIELD, COEFF_NONLINEAR, COEFF_BALL, COEFF_CROSS, COEFF_CHECKERBOARD_0, COEFF_CHECKERBOARD_1} CoeffType;
26 
27 typedef struct {
28   RunType        runType;           /* Whether to run tests, or solve the full problem */
29   PetscBool      jacobianMF;        /* Whether to calculate the Jacobian action on the fly */
30   PetscBool      showInitial, showSolution, restart, quiet, nonzInit;
31   /* Problem definition */
32   BCType         bcType;
33   CoeffType      variableCoefficient;
34   PetscErrorCode (**exactFuncs)(PetscInt dim, PetscReal time, const PetscReal x[], PetscInt Nc, PetscScalar *u, void *ctx);
35   PetscBool      fieldBC;
36   void           (**exactFields)(PetscInt, PetscInt, PetscInt,
37                                  const PetscInt[], const PetscInt[], const PetscScalar[], const PetscScalar[], const PetscScalar[],
38                                  const PetscInt[], const PetscInt[], const PetscScalar[], const PetscScalar[], const PetscScalar[],
39                                  PetscReal, const PetscReal[], PetscInt, const PetscScalar[], PetscScalar[]);
40   PetscBool      bdIntegral;        /* Compute the integral of the solution on the boundary */
41   /* Reproducing tests from SISC 40(3), pp. A1473-A1493, 2018 */
42   PetscInt       div;               /* Number of divisions */
43   PetscInt       k;                 /* Parameter for checkerboard coefficient */
44   PetscInt      *kgrid;             /* Random parameter grid */
45   PetscBool      rand;              /* Make random assignments */
46   /* Solver */
47   PC             pcmg;              /* This is needed for error monitoring */
48   PetscBool      checkksp;          /* Whether to check the KSPSolve for runType == RUN_TEST */
49 } AppCtx;
50 
51 static PetscErrorCode zero(PetscInt dim, PetscReal time, const PetscReal x[], PetscInt Nc, PetscScalar *u, void *ctx)
52 {
53   u[0] = 0.0;
54   return 0;
55 }
56 
57 static PetscErrorCode ecks(PetscInt dim, PetscReal time, const PetscReal x[], PetscInt Nc, PetscScalar *u, void *ctx)
58 {
59   u[0] = x[0];
60   return 0;
61 }
62 
63 /*
64   In 2D for Dirichlet conditions, we use exact solution:
65 
66     u = x^2 + y^2
67     f = 4
68 
69   so that
70 
71     -\Delta u + f = -4 + 4 = 0
72 
73   For Neumann conditions, we have
74 
75     -\nabla u \cdot -\hat y |_{y=0} =  (2y)|_{y=0} =  0 (bottom)
76     -\nabla u \cdot  \hat y |_{y=1} = -(2y)|_{y=1} = -2 (top)
77     -\nabla u \cdot -\hat x |_{x=0} =  (2x)|_{x=0} =  0 (left)
78     -\nabla u \cdot  \hat x |_{x=1} = -(2x)|_{x=1} = -2 (right)
79 
80   Which we can express as
81 
82     \nabla u \cdot  \hat n|_\Gamma = {2 x, 2 y} \cdot \hat n = 2 (x + y)
83 
84   The boundary integral of this solution is (assuming we are not orienting the edges)
85 
86     \int^1_0 x^2 dx + \int^1_0 (1 + y^2) dy + \int^1_0 (x^2 + 1) dx + \int^1_0 y^2 dy = 1/3 + 4/3 + 4/3 + 1/3 = 3 1/3
87 */
88 static PetscErrorCode quadratic_u_2d(PetscInt dim, PetscReal time, const PetscReal x[], PetscInt Nc, PetscScalar *u, void *ctx)
89 {
90   *u = x[0]*x[0] + x[1]*x[1];
91   return 0;
92 }
93 
94 static void quadratic_u_field_2d(PetscInt dim, PetscInt Nf, PetscInt NfAux,
95                                  const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[],
96                                  const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[],
97                                  PetscReal t, const PetscReal x[], PetscInt numConstants, const PetscScalar constants[], PetscScalar uexact[])
98 {
99   uexact[0] = a[0];
100 }
101 
102 static PetscErrorCode ball_u_2d(PetscInt dim, PetscReal time, const PetscReal x[], PetscInt Nc, PetscScalar *u, void *ctx)
103 {
104   const PetscReal alpha   = 500.;
105   const PetscReal radius2 = PetscSqr(0.15);
106   const PetscReal r2      = PetscSqr(x[0] - 0.5) + PetscSqr(x[1] - 0.5);
107   const PetscReal xi      = alpha*(radius2 - r2);
108 
109   *u = PetscTanhScalar(xi) + 1.0;
110   return 0;
111 }
112 
113 static PetscErrorCode cross_u_2d(PetscInt dim, PetscReal time, const PetscReal x[], PetscInt Nc, PetscScalar *u, void *ctx)
114 {
115   const PetscReal alpha = 50*4;
116   const PetscReal xy    = (x[0]-0.5)*(x[1]-0.5);
117 
118   *u = PetscSinReal(alpha*xy) * (alpha*PetscAbsReal(xy) < 2*PETSC_PI ? 1 : 0.01);
119   return 0;
120 }
121 
122 static void f0_u(PetscInt dim, PetscInt Nf, PetscInt NfAux,
123                  const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[],
124                  const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[],
125                  PetscReal t, const PetscReal x[], PetscInt numConstants, const PetscScalar constants[], PetscScalar f0[])
126 {
127   f0[0] = 4.0;
128 }
129 
130 static void f0_ball_u(PetscInt dim, PetscInt Nf, PetscInt NfAux,
131                       const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[],
132                       const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[],
133                       PetscReal t, const PetscReal x[], PetscInt numConstants, const PetscScalar constants[], PetscScalar f0[])
134 {
135   PetscInt        d;
136   const PetscReal alpha = 500., radius2 = PetscSqr(0.15);
137   PetscReal       r2, xi;
138 
139   for (d = 0, r2 = 0.0; d < dim; ++d) r2 += PetscSqr(x[d] - 0.5);
140   xi = alpha*(radius2 - r2);
141   f0[0] = (-2.0*dim*alpha - 8.0*PetscSqr(alpha)*r2*PetscTanhReal(xi)) * PetscSqr(1.0/PetscCoshReal(xi));
142 }
143 
144 static void f0_cross_u_2d(PetscInt dim, PetscInt Nf, PetscInt NfAux,
145                           const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[],
146                           const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[],
147                           PetscReal t, const PetscReal x[], PetscInt numConstants, const PetscScalar constants[], PetscScalar f0[])
148 {
149   const PetscReal alpha = 50*4;
150   const PetscReal xy    = (x[0]-0.5)*(x[1]-0.5);
151 
152   f0[0] = PetscSinReal(alpha*xy) * (alpha*PetscAbsReal(xy) < 2*PETSC_PI ? 1 : 0.01);
153 }
154 
155 static void f0_checkerboard_0_u(PetscInt dim, PetscInt Nf, PetscInt NfAux,
156                                 const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[],
157                                 const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[],
158                                 PetscReal t, const PetscReal x[], PetscInt numConstants, const PetscScalar constants[], PetscScalar f0[])
159 {
160   f0[0] = -20.0*PetscExpReal(-(PetscSqr(x[0] - 0.5) + PetscSqr(x[1] - 0.5)));
161 }
162 
163 static void f0_bd_u(PetscInt dim, PetscInt Nf, PetscInt NfAux,
164                     const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[],
165                     const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[],
166                     PetscReal t, const PetscReal x[], const PetscReal n[], PetscInt numConstants, const PetscScalar constants[], PetscScalar f0[])
167 {
168   PetscInt d;
169   for (d = 0, f0[0] = 0.0; d < dim; ++d) f0[0] += -n[d]*2.0*x[d];
170 }
171 
172 /* gradU[comp*dim+d] = {u_x, u_y} or {u_x, u_y, u_z} */
173 static void f1_u(PetscInt dim, PetscInt Nf, PetscInt NfAux,
174                  const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[],
175                  const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[],
176                  PetscReal t, const PetscReal x[], PetscInt numConstants, const PetscScalar constants[], PetscScalar f1[])
177 {
178   PetscInt d;
179   for (d = 0; d < dim; ++d) f1[d] = u_x[d];
180 }
181 
182 /* < \nabla v, \nabla u + {\nabla u}^T >
183    This just gives \nabla u, give the perdiagonal for the transpose */
184 static void g3_uu(PetscInt dim, PetscInt Nf, PetscInt NfAux,
185                   const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[],
186                   const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[],
187                   PetscReal t, PetscReal u_tShift, const PetscReal x[], PetscInt numConstants, const PetscScalar constants[], PetscScalar g3[])
188 {
189   PetscInt d;
190   for (d = 0; d < dim; ++d) g3[d*dim+d] = 1.0;
191 }
192 
193 /*
194   In 2D for x periodicity and y Dirichlet conditions, we use exact solution:
195 
196     u = sin(2 pi x)
197     f = -4 pi^2 sin(2 pi x)
198 
199   so that
200 
201     -\Delta u + f = 4 pi^2 sin(2 pi x) - 4 pi^2 sin(2 pi x) = 0
202 */
203 static PetscErrorCode xtrig_u_2d(PetscInt dim, PetscReal time, const PetscReal x[], PetscInt Nc, PetscScalar *u, void *ctx)
204 {
205   *u = PetscSinReal(2.0*PETSC_PI*x[0]);
206   return 0;
207 }
208 
209 static void f0_xtrig_u(PetscInt dim, PetscInt Nf, PetscInt NfAux,
210                        const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[],
211                        const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[],
212                        PetscReal t, const PetscReal x[], PetscInt numConstants, const PetscScalar constants[], PetscScalar f0[])
213 {
214   f0[0] = -4.0*PetscSqr(PETSC_PI)*PetscSinReal(2.0*PETSC_PI*x[0]);
215 }
216 
217 /*
218   In 2D for x-y periodicity, we use exact solution:
219 
220     u = sin(2 pi x) sin(2 pi y)
221     f = -8 pi^2 sin(2 pi x)
222 
223   so that
224 
225     -\Delta u + f = 4 pi^2 sin(2 pi x) sin(2 pi y) + 4 pi^2 sin(2 pi x) sin(2 pi y) - 8 pi^2 sin(2 pi x) = 0
226 */
227 static PetscErrorCode xytrig_u_2d(PetscInt dim, PetscReal time, const PetscReal x[], PetscInt Nc, PetscScalar *u, void *ctx)
228 {
229   *u = PetscSinReal(2.0*PETSC_PI*x[0])*PetscSinReal(2.0*PETSC_PI*x[1]);
230   return 0;
231 }
232 
233 static void f0_xytrig_u(PetscInt dim, PetscInt Nf, PetscInt NfAux,
234                         const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[],
235                         const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[],
236                         PetscReal t, const PetscReal x[], PetscInt numConstants, const PetscScalar constants[], PetscScalar f0[])
237 {
238   f0[0] = -8.0*PetscSqr(PETSC_PI)*PetscSinReal(2.0*PETSC_PI*x[0]);
239 }
240 
241 /*
242   In 2D for Dirichlet conditions with a variable coefficient, we use exact solution:
243 
244     u  = x^2 + y^2
245     f  = 6 (x + y)
246     nu = (x + y)
247 
248   so that
249 
250     -\div \nu \grad u + f = -6 (x + y) + 6 (x + y) = 0
251 */
252 static PetscErrorCode nu_2d(PetscInt dim, PetscReal time, const PetscReal x[], PetscInt Nc, PetscScalar *u, void *ctx)
253 {
254   *u = x[0] + x[1];
255   return 0;
256 }
257 
258 static PetscErrorCode checkerboardCoeff(PetscInt dim, PetscReal time, const PetscReal x[], PetscInt Nc, PetscScalar *u, void *ctx)
259 {
260   AppCtx  *user = (AppCtx *) ctx;
261   PetscInt div  = user->div;
262   PetscInt k    = user->k;
263   PetscInt mask = 0, ind = 0, d;
264 
265   PetscFunctionBeginUser;
266   for (d = 0; d < dim; ++d) mask = (mask + (PetscInt) (x[d]*div)) % 2;
267   if (user->kgrid) {
268     for (d = 0; d < dim; ++d) {
269       if (d > 0) ind *= dim;
270       ind += (PetscInt) (x[d]*div);
271     }
272     k = user->kgrid[ind];
273   }
274   u[0] = mask ? 1.0 : PetscPowRealInt(10.0, -k);
275   PetscFunctionReturn(0);
276 }
277 
278 void f0_analytic_u(PetscInt dim, PetscInt Nf, PetscInt NfAux,
279                    const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[],
280                    const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[],
281                    PetscReal t, const PetscReal x[], PetscInt numConstants, const PetscScalar constants[], PetscScalar f0[])
282 {
283   f0[0] = 6.0*(x[0] + x[1]);
284 }
285 
286 /* gradU[comp*dim+d] = {u_x, u_y} or {u_x, u_y, u_z} */
287 void f1_analytic_u(PetscInt dim, PetscInt Nf, PetscInt NfAux,
288                    const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[],
289                    const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[],
290                    PetscReal t, const PetscReal x[], PetscInt numConstants, const PetscScalar constants[], PetscScalar f1[])
291 {
292   PetscInt d;
293   for (d = 0; d < dim; ++d) f1[d] = (x[0] + x[1])*u_x[d];
294 }
295 
296 void f1_field_u(PetscInt dim, PetscInt Nf, PetscInt NfAux,
297                 const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[],
298                 const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[],
299                 PetscReal t, const PetscReal x[], PetscInt numConstants, const PetscScalar constants[], PetscScalar f1[])
300 {
301   PetscInt d;
302   for (d = 0; d < dim; ++d) f1[d] = a[0]*u_x[d];
303 }
304 
305 /* < \nabla v, \nabla u + {\nabla u}^T >
306    This just gives \nabla u, give the perdiagonal for the transpose */
307 void g3_analytic_uu(PetscInt dim, PetscInt Nf, PetscInt NfAux,
308                     const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[],
309                     const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[],
310                     PetscReal t, PetscReal u_tShift, const PetscReal x[], PetscInt numConstants, const PetscScalar constants[], PetscScalar g3[])
311 {
312   PetscInt d;
313   for (d = 0; d < dim; ++d) g3[d*dim+d] = x[0] + x[1];
314 }
315 
316 void g3_field_uu(PetscInt dim, PetscInt Nf, PetscInt NfAux,
317                  const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[],
318                  const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[],
319                  PetscReal t, PetscReal u_tShift, const PetscReal x[], PetscInt numConstants, const PetscScalar constants[], PetscScalar g3[])
320 {
321   PetscInt d;
322   for (d = 0; d < dim; ++d) g3[d*dim+d] = a[0];
323 }
324 
325 /*
326   In 2D for Dirichlet conditions with a nonlinear coefficient (p-Laplacian with p = 4), we use exact solution:
327 
328     u  = x^2 + y^2
329     f  = 16 (x^2 + y^2)
330     nu = 1/2 |grad u|^2
331 
332   so that
333 
334     -\div \nu \grad u + f = -16 (x^2 + y^2) + 16 (x^2 + y^2) = 0
335 */
336 void f0_analytic_nonlinear_u(PetscInt dim, PetscInt Nf, PetscInt NfAux,
337                              const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[],
338                              const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[],
339                              PetscReal t, const PetscReal x[], PetscInt numConstants, const PetscScalar constants[], PetscScalar f0[])
340 {
341   f0[0] = 16.0*(x[0]*x[0] + x[1]*x[1]);
342 }
343 
344 /* gradU[comp*dim+d] = {u_x, u_y} or {u_x, u_y, u_z} */
345 void f1_analytic_nonlinear_u(PetscInt dim, PetscInt Nf, PetscInt NfAux,
346                              const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[],
347                              const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[],
348                              PetscReal t, const PetscReal x[], PetscInt numConstants, const PetscScalar constants[], PetscScalar f1[])
349 {
350   PetscScalar nu = 0.0;
351   PetscInt    d;
352   for (d = 0; d < dim; ++d) nu += u_x[d]*u_x[d];
353   for (d = 0; d < dim; ++d) f1[d] = 0.5*nu*u_x[d];
354 }
355 
356 /*
357   grad (u + eps w) - grad u = eps grad w
358 
359   1/2 |grad (u + eps w)|^2 grad (u + eps w) - 1/2 |grad u|^2 grad u
360 = 1/2 (|grad u|^2 + 2 eps <grad u,grad w>) (grad u + eps grad w) - 1/2 |grad u|^2 grad u
361 = 1/2 (eps |grad u|^2 grad w + 2 eps <grad u,grad w> grad u)
362 = eps (1/2 |grad u|^2 grad w + grad u <grad u,grad w>)
363 */
364 void g3_analytic_nonlinear_uu(PetscInt dim, PetscInt Nf, PetscInt NfAux,
365                               const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[],
366                               const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[],
367                               PetscReal t, PetscReal u_tShift, const PetscReal x[], PetscInt numConstants, const PetscScalar constants[], PetscScalar g3[])
368 {
369   PetscScalar nu = 0.0;
370   PetscInt    d, e;
371   for (d = 0; d < dim; ++d) nu += u_x[d]*u_x[d];
372   for (d = 0; d < dim; ++d) {
373     g3[d*dim+d] = 0.5*nu;
374     for (e = 0; e < dim; ++e) {
375       g3[d*dim+e] += u_x[d]*u_x[e];
376     }
377   }
378 }
379 
380 /*
381   In 3D for Dirichlet conditions we use exact solution:
382 
383     u = 2/3 (x^2 + y^2 + z^2)
384     f = 4
385 
386   so that
387 
388     -\Delta u + f = -2/3 * 6 + 4 = 0
389 
390   For Neumann conditions, we have
391 
392     -\nabla u \cdot -\hat z |_{z=0} =  (2z)|_{z=0} =  0 (bottom)
393     -\nabla u \cdot  \hat z |_{z=1} = -(2z)|_{z=1} = -2 (top)
394     -\nabla u \cdot -\hat y |_{y=0} =  (2y)|_{y=0} =  0 (front)
395     -\nabla u \cdot  \hat y |_{y=1} = -(2y)|_{y=1} = -2 (back)
396     -\nabla u \cdot -\hat x |_{x=0} =  (2x)|_{x=0} =  0 (left)
397     -\nabla u \cdot  \hat x |_{x=1} = -(2x)|_{x=1} = -2 (right)
398 
399   Which we can express as
400 
401     \nabla u \cdot  \hat n|_\Gamma = {2 x, 2 y, 2z} \cdot \hat n = 2 (x + y + z)
402 */
403 static PetscErrorCode quadratic_u_3d(PetscInt dim, PetscReal time, const PetscReal x[], PetscInt Nc, PetscScalar *u, void *ctx)
404 {
405   *u = 2.0*(x[0]*x[0] + x[1]*x[1] + x[2]*x[2])/3.0;
406   return 0;
407 }
408 
409 static PetscErrorCode ball_u_3d(PetscInt dim, PetscReal time, const PetscReal x[], PetscInt Nc, PetscScalar *u, void *ctx)
410 {
411   const PetscReal alpha   = 500.;
412   const PetscReal radius2 = PetscSqr(0.15);
413   const PetscReal r2      = PetscSqr(x[0] - 0.5) + PetscSqr(x[1] - 0.5) + PetscSqr(x[2] - 0.5);
414   const PetscReal xi      = alpha*(radius2 - r2);
415 
416   *u = PetscTanhScalar(xi) + 1.0;
417   return 0;
418 }
419 
420 static void quadratic_u_field_3d(PetscInt dim, PetscInt Nf, PetscInt NfAux,
421                                  const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[],
422                                  const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[],
423                                  PetscReal t, const PetscReal x[], PetscInt numConstants, const PetscScalar constants[], PetscScalar uexact[])
424 {
425   uexact[0] = a[0];
426 }
427 
428 static PetscErrorCode cross_u_3d(PetscInt dim, PetscReal time, const PetscReal x[], PetscInt Nc, PetscScalar *u, void *ctx)
429 {
430   const PetscReal alpha = 50*4;
431   const PetscReal xyz   = (x[0]-0.5)*(x[1]-0.5)*(x[2]-0.5);
432 
433   *u = PetscSinReal(alpha*xyz) * (alpha*PetscAbsReal(xyz) < 2*PETSC_PI ? (alpha*PetscAbsReal(xyz) > -2*PETSC_PI ? 1.0 : 0.01) : 0.01);
434   return 0;
435 }
436 
437 static void f0_cross_u_3d(PetscInt dim, PetscInt Nf, PetscInt NfAux,
438                           const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[],
439                           const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[],
440                           PetscReal t, const PetscReal x[], PetscInt numConstants, const PetscScalar constants[], PetscScalar f0[])
441 {
442   const PetscReal alpha = 50*4;
443   const PetscReal xyz   = (x[0]-0.5)*(x[1]-0.5)*(x[2]-0.5);
444 
445   f0[0] = PetscSinReal(alpha*xyz) * (alpha*PetscAbsReal(xyz) < 2*PETSC_PI ? (alpha*PetscAbsReal(xyz) > -2*PETSC_PI ? 1.0 : 0.01) : 0.01);
446 }
447 
448 static void bd_integral_2d(PetscInt dim, PetscInt Nf, PetscInt NfAux,
449                            const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[],
450                            const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[],
451                            PetscReal t, const PetscReal x[], const PetscReal n[], PetscInt numConstants, const PetscScalar constants[], PetscScalar *uint)
452 {
453   uint[0] = u[0];
454 }
455 
456 static PetscErrorCode ProcessOptions(MPI_Comm comm, AppCtx *options)
457 {
458   const char    *bcTypes[3]  = {"neumann", "dirichlet", "none"};
459   const char    *runTypes[4] = {"full", "exact", "test", "perf"};
460   const char    *coeffTypes[8] = {"none", "analytic", "field", "nonlinear", "ball", "cross", "checkerboard_0", "checkerboard_1"};
461   PetscInt       bc, run, coeff;
462   PetscErrorCode ierr;
463 
464   PetscFunctionBeginUser;
465   options->runType             = RUN_FULL;
466   options->bcType              = DIRICHLET;
467   options->variableCoefficient = COEFF_NONE;
468   options->fieldBC             = PETSC_FALSE;
469   options->jacobianMF          = PETSC_FALSE;
470   options->showInitial         = PETSC_FALSE;
471   options->showSolution        = PETSC_FALSE;
472   options->restart             = PETSC_FALSE;
473   options->quiet               = PETSC_FALSE;
474   options->nonzInit            = PETSC_FALSE;
475   options->bdIntegral          = PETSC_FALSE;
476   options->checkksp            = PETSC_FALSE;
477   options->div                 = 4;
478   options->k                   = 1;
479   options->kgrid               = NULL;
480   options->rand                = PETSC_FALSE;
481 
482   ierr = PetscOptionsBegin(comm, "", "Poisson Problem Options", "DMPLEX");CHKERRQ(ierr);
483   run  = options->runType;
484   ierr = PetscOptionsEList("-run_type", "The run type", "ex12.c", runTypes, 4, runTypes[options->runType], &run, NULL);CHKERRQ(ierr);
485   options->runType = (RunType) run;
486   bc   = options->bcType;
487   ierr = PetscOptionsEList("-bc_type","Type of boundary condition","ex12.c",bcTypes,3,bcTypes[options->bcType],&bc,NULL);CHKERRQ(ierr);
488   options->bcType = (BCType) bc;
489   coeff = options->variableCoefficient;
490   ierr = PetscOptionsEList("-variable_coefficient","Type of variable coefficent","ex12.c",coeffTypes,8,coeffTypes[options->variableCoefficient],&coeff,NULL);CHKERRQ(ierr);
491   options->variableCoefficient = (CoeffType) coeff;
492 
493   ierr = PetscOptionsBool("-field_bc", "Use a field representation for the BC", "ex12.c", options->fieldBC, &options->fieldBC, NULL);CHKERRQ(ierr);
494   ierr = PetscOptionsBool("-jacobian_mf", "Calculate the action of the Jacobian on the fly", "ex12.c", options->jacobianMF, &options->jacobianMF, NULL);CHKERRQ(ierr);
495   ierr = PetscOptionsBool("-show_initial", "Output the initial guess for verification", "ex12.c", options->showInitial, &options->showInitial, NULL);CHKERRQ(ierr);
496   ierr = PetscOptionsBool("-show_solution", "Output the solution for verification", "ex12.c", options->showSolution, &options->showSolution, NULL);CHKERRQ(ierr);
497   ierr = PetscOptionsBool("-restart", "Read in the mesh and solution from a file", "ex12.c", options->restart, &options->restart, NULL);CHKERRQ(ierr);
498   ierr = PetscOptionsBool("-quiet", "Don't print any vecs", "ex12.c", options->quiet, &options->quiet, NULL);CHKERRQ(ierr);
499   ierr = PetscOptionsBool("-nonzero_initial_guess", "nonzero initial guess", "ex12.c", options->nonzInit, &options->nonzInit, NULL);CHKERRQ(ierr);
500   ierr = PetscOptionsBool("-bd_integral", "Compute the integral of the solution on the boundary", "ex12.c", options->bdIntegral, &options->bdIntegral, NULL);CHKERRQ(ierr);
501   if (options->runType == RUN_TEST) {
502     ierr = PetscOptionsBool("-run_test_check_ksp", "Check solution of KSP", "ex12.c", options->checkksp, &options->checkksp, NULL);CHKERRQ(ierr);
503   }
504   ierr = PetscOptionsInt("-div", "The number of division for the checkerboard coefficient", "ex12.c", options->div, &options->div, NULL);CHKERRQ(ierr);
505   ierr = PetscOptionsInt("-k", "The exponent for the checkerboard coefficient", "ex12.c", options->k, &options->k, NULL);CHKERRQ(ierr);
506   ierr = PetscOptionsBool("-k_random", "Assign random k values to checkerboard", "ex12.c", options->rand, &options->rand, NULL);CHKERRQ(ierr);
507   ierr = PetscOptionsEnd();CHKERRQ(ierr);
508   PetscFunctionReturn(0);
509 }
510 
511 static PetscErrorCode CreateBCLabel(DM dm, const char name[])
512 {
513   DM             plex;
514   DMLabel        label;
515   PetscErrorCode ierr;
516 
517   PetscFunctionBeginUser;
518   ierr = DMCreateLabel(dm, name);CHKERRQ(ierr);
519   ierr = DMGetLabel(dm, name, &label);CHKERRQ(ierr);
520   ierr = DMConvert(dm, DMPLEX, &plex);CHKERRQ(ierr);
521   ierr = DMPlexMarkBoundaryFaces(plex, 1, label);CHKERRQ(ierr);
522   ierr = DMDestroy(&plex);CHKERRQ(ierr);
523   PetscFunctionReturn(0);
524 }
525 
526 static PetscErrorCode CreateMesh(MPI_Comm comm, AppCtx *user, DM *dm)
527 {
528   PetscErrorCode ierr;
529 
530   PetscFunctionBeginUser;
531   ierr = DMCreate(comm, dm);CHKERRQ(ierr);
532   ierr = DMSetType(*dm, DMPLEX);CHKERRQ(ierr);
533   ierr = DMSetFromOptions(*dm);CHKERRQ(ierr);
534   {
535     char      convType[256];
536     PetscBool flg;
537 
538     ierr = PetscOptionsBegin(comm, "", "Mesh conversion options", "DMPLEX");CHKERRQ(ierr);
539     ierr = PetscOptionsFList("-dm_plex_convert_type","Convert DMPlex to another format","ex12",DMList,DMPLEX,convType,256,&flg);CHKERRQ(ierr);
540     ierr = PetscOptionsEnd();CHKERRQ(ierr);
541     if (flg) {
542       DM dmConv;
543 
544       ierr = DMConvert(*dm,convType,&dmConv);CHKERRQ(ierr);
545       if (dmConv) {
546         ierr = DMDestroy(dm);CHKERRQ(ierr);
547         *dm  = dmConv;
548       }
549       ierr = DMSetFromOptions(*dm);CHKERRQ(ierr);
550       ierr = DMSetUp(*dm);CHKERRQ(ierr);
551     }
552   }
553   ierr = DMViewFromOptions(*dm, NULL, "-dm_view");CHKERRQ(ierr);
554   if (user->rand) {
555     PetscRandom r;
556     PetscReal   val;
557     PetscInt    dim, N, i;
558 
559     ierr = DMGetDimension(*dm, &dim);CHKERRQ(ierr);
560     N    = PetscPowInt(user->div, dim);
561     ierr = PetscMalloc1(N, &user->kgrid);CHKERRQ(ierr);
562     ierr = PetscRandomCreate(PETSC_COMM_SELF, &r);CHKERRQ(ierr);
563     ierr = PetscRandomSetFromOptions(r);CHKERRQ(ierr);
564     ierr = PetscRandomSetInterval(r, 0.0, user->k);CHKERRQ(ierr);
565     ierr = PetscRandomSetSeed(r, 1973);CHKERRQ(ierr);
566     ierr = PetscRandomSeed(r);CHKERRQ(ierr);
567     for (i = 0; i < N; ++i) {
568       ierr = PetscRandomGetValueReal(r, &val);CHKERRQ(ierr);
569       user->kgrid[i] = 1 + (PetscInt) val;
570     }
571     ierr = PetscRandomDestroy(&r);CHKERRQ(ierr);
572   }
573   PetscFunctionReturn(0);
574 }
575 
576 static PetscErrorCode SetupProblem(DM dm, AppCtx *user)
577 {
578   PetscDS         ds;
579   DMLabel         label;
580   PetscWeakForm   wf;
581   const DMBoundaryType *periodicity;
582   const PetscInt  id = 1;
583   PetscInt        bd, dim;
584   PetscErrorCode  ierr;
585 
586   PetscFunctionBeginUser;
587   ierr = DMGetDS(dm, &ds);CHKERRQ(ierr);
588   ierr = DMGetDimension(dm, &dim);CHKERRQ(ierr);
589   ierr = DMGetPeriodicity(dm, NULL, NULL, NULL, &periodicity);CHKERRQ(ierr);
590   switch (user->variableCoefficient) {
591   case COEFF_NONE:
592     if (periodicity && periodicity[0]) {
593       if (periodicity && periodicity[1]) {
594         ierr = PetscDSSetResidual(ds, 0, f0_xytrig_u, f1_u);CHKERRQ(ierr);
595         ierr = PetscDSSetJacobian(ds, 0, 0, NULL, NULL, NULL, g3_uu);CHKERRQ(ierr);
596       } else {
597         ierr = PetscDSSetResidual(ds, 0, f0_xtrig_u,  f1_u);CHKERRQ(ierr);
598         ierr = PetscDSSetJacobian(ds, 0, 0, NULL, NULL, NULL, g3_uu);CHKERRQ(ierr);
599       }
600     } else {
601       ierr = PetscDSSetResidual(ds, 0, f0_u, f1_u);CHKERRQ(ierr);
602       ierr = PetscDSSetJacobian(ds, 0, 0, NULL, NULL, NULL, g3_uu);CHKERRQ(ierr);
603     }
604     break;
605   case COEFF_ANALYTIC:
606     ierr = PetscDSSetResidual(ds, 0, f0_analytic_u, f1_analytic_u);CHKERRQ(ierr);
607     ierr = PetscDSSetJacobian(ds, 0, 0, NULL, NULL, NULL, g3_analytic_uu);CHKERRQ(ierr);
608     break;
609   case COEFF_FIELD:
610     ierr = PetscDSSetResidual(ds, 0, f0_analytic_u, f1_field_u);CHKERRQ(ierr);
611     ierr = PetscDSSetJacobian(ds, 0, 0, NULL, NULL, NULL, g3_field_uu);CHKERRQ(ierr);
612     break;
613   case COEFF_NONLINEAR:
614     ierr = PetscDSSetResidual(ds, 0, f0_analytic_nonlinear_u, f1_analytic_nonlinear_u);CHKERRQ(ierr);
615     ierr = PetscDSSetJacobian(ds, 0, 0, NULL, NULL, NULL, g3_analytic_nonlinear_uu);CHKERRQ(ierr);
616     break;
617   case COEFF_BALL:
618     ierr = PetscDSSetResidual(ds, 0, f0_ball_u, f1_u);CHKERRQ(ierr);
619     ierr = PetscDSSetJacobian(ds, 0, 0, NULL, NULL, NULL, g3_uu);CHKERRQ(ierr);
620     break;
621   case COEFF_CROSS:
622     switch (dim) {
623     case 2:
624       ierr = PetscDSSetResidual(ds, 0, f0_cross_u_2d, f1_u);CHKERRQ(ierr);
625       break;
626     case 3:
627       ierr = PetscDSSetResidual(ds, 0, f0_cross_u_3d, f1_u);CHKERRQ(ierr);
628       break;
629     default:
630       SETERRQ(PETSC_COMM_WORLD, PETSC_ERR_ARG_OUTOFRANGE, "Invalid dimension %d", dim);
631     }
632     ierr = PetscDSSetJacobian(ds, 0, 0, NULL, NULL, NULL, g3_uu);CHKERRQ(ierr);
633     break;
634   case COEFF_CHECKERBOARD_0:
635     ierr = PetscDSSetResidual(ds, 0, f0_checkerboard_0_u, f1_field_u);CHKERRQ(ierr);
636     ierr = PetscDSSetJacobian(ds, 0, 0, NULL, NULL, NULL, g3_field_uu);CHKERRQ(ierr);
637     break;
638   default: SETERRQ(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Invalid variable coefficient type %d", user->variableCoefficient);
639   }
640   switch (dim) {
641   case 2:
642     switch (user->variableCoefficient) {
643     case COEFF_BALL:
644       user->exactFuncs[0]  = ball_u_2d;break;
645     case COEFF_CROSS:
646       user->exactFuncs[0]  = cross_u_2d;break;
647     case COEFF_CHECKERBOARD_0:
648       user->exactFuncs[0]  = zero;break;
649     default:
650       if (periodicity && periodicity[0]) {
651         if (periodicity && periodicity[1]) {
652           user->exactFuncs[0] = xytrig_u_2d;
653         } else {
654           user->exactFuncs[0] = xtrig_u_2d;
655         }
656       } else {
657         user->exactFuncs[0]  = quadratic_u_2d;
658         user->exactFields[0] = quadratic_u_field_2d;
659       }
660     }
661     if (user->bcType == NEUMANN) {
662       ierr = DMGetLabel(dm, "boundary", &label);CHKERRQ(ierr);
663       ierr = DMAddBoundary(dm, DM_BC_NATURAL, "wall", label, 1, &id, 0, 0, NULL, NULL, NULL, user, &bd);CHKERRQ(ierr);
664       ierr = PetscDSGetBoundary(ds, bd, &wf, NULL, NULL, NULL, NULL, NULL, NULL, NULL, NULL, NULL, NULL, NULL);CHKERRQ(ierr);
665       ierr = PetscWeakFormSetIndexBdResidual(wf, label, id, 0, 0, 0, f0_bd_u, 0, NULL);CHKERRQ(ierr);
666     }
667     break;
668   case 3:
669     switch (user->variableCoefficient) {
670     case COEFF_BALL:
671       user->exactFuncs[0]  = ball_u_3d;break;
672     case COEFF_CROSS:
673       user->exactFuncs[0]  = cross_u_3d;break;
674     default:
675       user->exactFuncs[0]  = quadratic_u_3d;
676       user->exactFields[0] = quadratic_u_field_3d;
677     }
678     if (user->bcType == NEUMANN) {
679       ierr = DMGetLabel(dm, "boundary", &label);CHKERRQ(ierr);
680       ierr = DMAddBoundary(dm, DM_BC_NATURAL, "wall", label, 1, &id, 0, 0, NULL, NULL, NULL, user, &bd);CHKERRQ(ierr);
681       ierr = PetscDSGetBoundary(ds, bd, &wf, NULL, NULL, NULL, NULL, NULL, NULL, NULL, NULL, NULL, NULL, NULL);CHKERRQ(ierr);
682       ierr = PetscWeakFormSetIndexBdResidual(wf, label, id, 0, 0, 0, f0_bd_u, 0, NULL);CHKERRQ(ierr);
683     }
684     break;
685   default:
686     SETERRQ(PETSC_COMM_WORLD, PETSC_ERR_ARG_OUTOFRANGE, "Invalid dimension %d", dim);
687   }
688   /* Setup constants */
689   switch (user->variableCoefficient) {
690   case COEFF_CHECKERBOARD_0:
691   {
692     PetscScalar constants[2];
693 
694     constants[0] = user->div;
695     constants[1] = user->k;
696     ierr = PetscDSSetConstants(ds, 2, constants);CHKERRQ(ierr);
697   }
698   break;
699   default: break;
700   }
701   ierr = PetscDSSetExactSolution(ds, 0, user->exactFuncs[0], user);CHKERRQ(ierr);
702   /* Setup Boundary Conditions */
703   if (user->bcType == DIRICHLET) {
704     ierr = DMGetLabel(dm, "marker", &label);CHKERRQ(ierr);
705     if (!label) {
706       /* Right now, p4est cannot create labels immediately */
707       ierr = PetscDSAddBoundaryByName(ds, user->fieldBC ? DM_BC_ESSENTIAL_FIELD : DM_BC_ESSENTIAL, "wall", "marker", 1, &id, 0, 0, NULL, user->fieldBC ? (void (*)(void)) user->exactFields[0] : (void (*)(void)) user->exactFuncs[0], NULL, user, NULL);CHKERRQ(ierr);
708     } else {
709       ierr = DMAddBoundary(dm, user->fieldBC ? DM_BC_ESSENTIAL_FIELD : DM_BC_ESSENTIAL, "wall", label, 1, &id, 0, 0, NULL, user->fieldBC ? (void (*)(void)) user->exactFields[0] : (void (*)(void)) user->exactFuncs[0], NULL, user, NULL);CHKERRQ(ierr);
710     }
711   }
712   PetscFunctionReturn(0);
713 }
714 
715 static PetscErrorCode SetupMaterial(DM dm, DM dmAux, AppCtx *user)
716 {
717   PetscErrorCode (*matFuncs[1])(PetscInt dim, PetscReal time, const PetscReal x[], PetscInt Nc, PetscScalar u[], void *ctx) = {nu_2d};
718   void            *ctx[1];
719   Vec              nu;
720   PetscErrorCode   ierr;
721 
722   PetscFunctionBegin;
723   ctx[0] = user;
724   if (user->variableCoefficient == COEFF_CHECKERBOARD_0) {matFuncs[0] = checkerboardCoeff;}
725   ierr = DMCreateLocalVector(dmAux, &nu);CHKERRQ(ierr);
726   ierr = PetscObjectSetName((PetscObject) nu, "Coefficient");CHKERRQ(ierr);
727   ierr = DMProjectFunctionLocal(dmAux, 0.0, matFuncs, ctx, INSERT_ALL_VALUES, nu);CHKERRQ(ierr);
728   ierr = DMSetAuxiliaryVec(dm, NULL, 0, nu);CHKERRQ(ierr);
729   ierr = VecDestroy(&nu);CHKERRQ(ierr);
730   PetscFunctionReturn(0);
731 }
732 
733 static PetscErrorCode SetupBC(DM dm, DM dmAux, AppCtx *user)
734 {
735   PetscErrorCode (*bcFuncs[1])(PetscInt dim, PetscReal time, const PetscReal x[], PetscInt Nc, PetscScalar u[], void *ctx);
736   Vec            uexact;
737   PetscInt       dim;
738   PetscErrorCode ierr;
739 
740   PetscFunctionBegin;
741   ierr = DMGetDimension(dm, &dim);CHKERRQ(ierr);
742   if (dim == 2) bcFuncs[0] = quadratic_u_2d;
743   else          bcFuncs[0] = quadratic_u_3d;
744   ierr = DMCreateLocalVector(dmAux, &uexact);CHKERRQ(ierr);
745   ierr = DMProjectFunctionLocal(dmAux, 0.0, bcFuncs, NULL, INSERT_ALL_VALUES, uexact);CHKERRQ(ierr);
746   ierr = DMSetAuxiliaryVec(dm, NULL, 0, uexact);CHKERRQ(ierr);
747   ierr = VecDestroy(&uexact);CHKERRQ(ierr);
748   PetscFunctionReturn(0);
749 }
750 
751 static PetscErrorCode SetupAuxDM(DM dm, PetscFE feAux, AppCtx *user)
752 {
753   DM             dmAux, coordDM;
754   PetscErrorCode ierr;
755 
756   PetscFunctionBegin;
757   /* MUST call DMGetCoordinateDM() in order to get p4est setup if present */
758   ierr = DMGetCoordinateDM(dm, &coordDM);CHKERRQ(ierr);
759   if (!feAux) PetscFunctionReturn(0);
760   ierr = DMClone(dm, &dmAux);CHKERRQ(ierr);
761   ierr = DMSetCoordinateDM(dmAux, coordDM);CHKERRQ(ierr);
762   ierr = DMSetField(dmAux, 0, NULL, (PetscObject) feAux);CHKERRQ(ierr);
763   ierr = DMCreateDS(dmAux);CHKERRQ(ierr);
764   if (user->fieldBC) {ierr = SetupBC(dm, dmAux, user);CHKERRQ(ierr);}
765   else               {ierr = SetupMaterial(dm, dmAux, user);CHKERRQ(ierr);}
766   ierr = DMDestroy(&dmAux);CHKERRQ(ierr);
767   PetscFunctionReturn(0);
768 }
769 
770 static PetscErrorCode SetupDiscretization(DM dm, AppCtx *user)
771 {
772   DM             plex, cdm = dm;
773   PetscFE        fe, feAux = NULL;
774   PetscBool      simplex;
775   PetscInt       dim;
776   MPI_Comm       comm;
777   PetscErrorCode ierr;
778 
779   PetscFunctionBeginUser;
780   ierr = DMGetDimension(dm, &dim);CHKERRQ(ierr);
781   ierr = DMConvert(dm, DMPLEX, &plex);CHKERRQ(ierr);
782   ierr = DMPlexIsSimplex(plex, &simplex);CHKERRQ(ierr);
783   ierr = DMDestroy(&plex);CHKERRQ(ierr);
784   ierr = PetscObjectGetComm((PetscObject) dm, &comm);CHKERRQ(ierr);
785   ierr = PetscFECreateDefault(PETSC_COMM_SELF, dim, 1, simplex, NULL, -1, &fe);CHKERRQ(ierr);
786   ierr = PetscObjectSetName((PetscObject) fe, "potential");CHKERRQ(ierr);
787   if (user->variableCoefficient == COEFF_FIELD || user->variableCoefficient == COEFF_CHECKERBOARD_0) {
788     ierr = PetscFECreateDefault(PETSC_COMM_SELF, dim, 1, simplex, "mat_", -1, &feAux);CHKERRQ(ierr);
789     ierr = PetscObjectSetName((PetscObject) feAux, "coefficient");CHKERRQ(ierr);
790     ierr = PetscFECopyQuadrature(fe, feAux);CHKERRQ(ierr);
791   } else if (user->fieldBC) {
792     ierr = PetscFECreateDefault(PETSC_COMM_SELF, dim, 1, simplex, "bc_", -1, &feAux);CHKERRQ(ierr);
793     ierr = PetscFECopyQuadrature(fe, feAux);CHKERRQ(ierr);
794   }
795   /* Set discretization and boundary conditions for each mesh */
796   ierr = DMSetField(dm, 0, NULL, (PetscObject) fe);CHKERRQ(ierr);
797   ierr = DMCreateDS(dm);CHKERRQ(ierr);
798   ierr = SetupProblem(dm, user);CHKERRQ(ierr);
799   while (cdm) {
800     ierr = SetupAuxDM(cdm, feAux, user);CHKERRQ(ierr);
801     if (user->bcType == DIRICHLET) {
802       PetscBool hasLabel;
803 
804       ierr = DMHasLabel(cdm, "marker", &hasLabel);CHKERRQ(ierr);
805       if (!hasLabel) {ierr = CreateBCLabel(cdm, "marker");CHKERRQ(ierr);}
806     }
807     ierr = DMCopyDisc(dm, cdm);CHKERRQ(ierr);
808     ierr = DMGetCoarseDM(cdm, &cdm);CHKERRQ(ierr);
809   }
810   ierr = PetscFEDestroy(&fe);CHKERRQ(ierr);
811   ierr = PetscFEDestroy(&feAux);CHKERRQ(ierr);
812   PetscFunctionReturn(0);
813 }
814 
815 int main(int argc, char **argv)
816 {
817   DM             dm;          /* Problem specification */
818   SNES           snes;        /* nonlinear solver */
819   Vec            u;           /* solution vector */
820   Mat            A,J;         /* Jacobian matrix */
821   MatNullSpace   nullSpace;   /* May be necessary for Neumann conditions */
822   AppCtx         user;        /* user-defined work context */
823   JacActionCtx   userJ;       /* context for Jacobian MF action */
824   PetscReal      error = 0.0; /* L_2 error in the solution */
825   PetscErrorCode ierr;
826 
827   ierr = PetscInitialize(&argc, &argv, NULL,help);if (ierr) return ierr;
828   ierr = ProcessOptions(PETSC_COMM_WORLD, &user);CHKERRQ(ierr);
829   ierr = SNESCreate(PETSC_COMM_WORLD, &snes);CHKERRQ(ierr);
830   ierr = CreateMesh(PETSC_COMM_WORLD, &user, &dm);CHKERRQ(ierr);
831   ierr = SNESSetDM(snes, dm);CHKERRQ(ierr);
832   ierr = DMSetApplicationContext(dm, &user);CHKERRQ(ierr);
833 
834   ierr = PetscMalloc2(1, &user.exactFuncs, 1, &user.exactFields);CHKERRQ(ierr);
835   ierr = SetupDiscretization(dm, &user);CHKERRQ(ierr);
836 
837   ierr = DMCreateGlobalVector(dm, &u);CHKERRQ(ierr);
838   ierr = PetscObjectSetName((PetscObject) u, "potential");CHKERRQ(ierr);
839 
840   ierr = DMCreateMatrix(dm, &J);CHKERRQ(ierr);
841   if (user.jacobianMF) {
842     PetscInt M, m, N, n;
843 
844     ierr = MatGetSize(J, &M, &N);CHKERRQ(ierr);
845     ierr = MatGetLocalSize(J, &m, &n);CHKERRQ(ierr);
846     ierr = MatCreate(PETSC_COMM_WORLD, &A);CHKERRQ(ierr);
847     ierr = MatSetSizes(A, m, n, M, N);CHKERRQ(ierr);
848     ierr = MatSetType(A, MATSHELL);CHKERRQ(ierr);
849     ierr = MatSetUp(A);CHKERRQ(ierr);
850 #if 0
851     ierr = MatShellSetOperation(A, MATOP_MULT, (void (*)(void))FormJacobianAction);CHKERRQ(ierr);
852 #endif
853 
854     userJ.dm   = dm;
855     userJ.J    = J;
856     userJ.user = &user;
857 
858     ierr = DMCreateLocalVector(dm, &userJ.u);CHKERRQ(ierr);
859     if (user.fieldBC) {ierr = DMProjectFieldLocal(dm, 0.0, userJ.u, user.exactFields, INSERT_BC_VALUES, userJ.u);CHKERRQ(ierr);}
860     else              {ierr = DMProjectFunctionLocal(dm, 0.0, user.exactFuncs, NULL, INSERT_BC_VALUES, userJ.u);CHKERRQ(ierr);}
861     ierr = MatShellSetContext(A, &userJ);CHKERRQ(ierr);
862   } else {
863     A = J;
864   }
865 
866   nullSpace = NULL;
867   if (user.bcType != DIRICHLET) {
868     ierr = MatNullSpaceCreate(PetscObjectComm((PetscObject) dm), PETSC_TRUE, 0, NULL, &nullSpace);CHKERRQ(ierr);
869     ierr = MatSetNullSpace(A, nullSpace);CHKERRQ(ierr);
870   }
871 
872   ierr = DMPlexSetSNESLocalFEM(dm,&user,&user,&user);CHKERRQ(ierr);
873   ierr = SNESSetJacobian(snes, A, J, NULL, NULL);CHKERRQ(ierr);
874 
875   ierr = SNESSetFromOptions(snes);CHKERRQ(ierr);
876 
877   if (user.fieldBC) {ierr = DMProjectField(dm, 0.0, u, user.exactFields, INSERT_ALL_VALUES, u);CHKERRQ(ierr);}
878   else              {ierr = DMProjectFunction(dm, 0.0, user.exactFuncs, NULL, INSERT_ALL_VALUES, u);CHKERRQ(ierr);}
879   if (user.restart) {
880 #if defined(PETSC_HAVE_HDF5)
881     PetscViewer viewer;
882     char        filename[PETSC_MAX_PATH_LEN];
883 
884     ierr = PetscOptionsGetString(NULL, NULL, "-dm_plex_filename", filename, sizeof(filename), NULL);CHKERRQ(ierr);
885     ierr = PetscViewerCreate(PETSC_COMM_WORLD, &viewer);CHKERRQ(ierr);
886     ierr = PetscViewerSetType(viewer, PETSCVIEWERHDF5);CHKERRQ(ierr);
887     ierr = PetscViewerFileSetMode(viewer, FILE_MODE_READ);CHKERRQ(ierr);
888     ierr = PetscViewerFileSetName(viewer, filename);CHKERRQ(ierr);
889     ierr = PetscViewerHDF5PushGroup(viewer, "/fields");CHKERRQ(ierr);
890     ierr = VecLoad(u, viewer);CHKERRQ(ierr);
891     ierr = PetscViewerHDF5PopGroup(viewer);CHKERRQ(ierr);
892     ierr = PetscViewerDestroy(&viewer);CHKERRQ(ierr);
893 #endif
894   }
895   if (user.showInitial) {
896     Vec lv;
897     ierr = DMGetLocalVector(dm, &lv);CHKERRQ(ierr);
898     ierr = DMGlobalToLocalBegin(dm, u, INSERT_VALUES, lv);CHKERRQ(ierr);
899     ierr = DMGlobalToLocalEnd(dm, u, INSERT_VALUES, lv);CHKERRQ(ierr);
900     ierr = DMPrintLocalVec(dm, "Local function", 1.0e-10, lv);CHKERRQ(ierr);
901     ierr = DMRestoreLocalVector(dm, &lv);CHKERRQ(ierr);
902   }
903   if (user.runType == RUN_FULL || user.runType == RUN_EXACT) {
904     PetscErrorCode (*initialGuess[1])(PetscInt dim, PetscReal time, const PetscReal x[], PetscInt Nc, PetscScalar u[], void *ctx) = {zero};
905 
906     if (user.nonzInit) initialGuess[0] = ecks;
907     if (user.runType == RUN_FULL) {
908       ierr = DMProjectFunction(dm, 0.0, initialGuess, NULL, INSERT_VALUES, u);CHKERRQ(ierr);
909     }
910     ierr = VecViewFromOptions(u, NULL, "-guess_vec_view");CHKERRQ(ierr);
911     ierr = SNESSolve(snes, NULL, u);CHKERRQ(ierr);
912     ierr = SNESGetSolution(snes, &u);CHKERRQ(ierr);
913     ierr = SNESGetDM(snes, &dm);CHKERRQ(ierr);
914 
915     if (user.showSolution) {
916       ierr = PetscPrintf(PETSC_COMM_WORLD, "Solution\n");CHKERRQ(ierr);
917       ierr = VecChop(u, 3.0e-9);CHKERRQ(ierr);
918       ierr = VecView(u, PETSC_VIEWER_STDOUT_WORLD);CHKERRQ(ierr);
919     }
920   } else if (user.runType == RUN_PERF) {
921     Vec       r;
922     PetscReal res = 0.0;
923 
924     ierr = SNESGetFunction(snes, &r, NULL, NULL);CHKERRQ(ierr);
925     ierr = SNESComputeFunction(snes, u, r);CHKERRQ(ierr);
926     ierr = PetscPrintf(PETSC_COMM_WORLD, "Initial Residual\n");CHKERRQ(ierr);
927     ierr = VecChop(r, 1.0e-10);CHKERRQ(ierr);
928     ierr = VecNorm(r, NORM_2, &res);CHKERRQ(ierr);
929     ierr = PetscPrintf(PETSC_COMM_WORLD, "L_2 Residual: %g\n", (double)res);CHKERRQ(ierr);
930   } else {
931     Vec       r;
932     PetscReal res = 0.0, tol = 1.0e-11;
933 
934     /* Check discretization error */
935     ierr = SNESGetFunction(snes, &r, NULL, NULL);CHKERRQ(ierr);
936     ierr = PetscPrintf(PETSC_COMM_WORLD, "Initial guess\n");CHKERRQ(ierr);
937     if (!user.quiet) {ierr = VecView(u, PETSC_VIEWER_STDOUT_WORLD);CHKERRQ(ierr);}
938     ierr = DMComputeL2Diff(dm, 0.0, user.exactFuncs, NULL, u, &error);CHKERRQ(ierr);
939     if (error < tol) {ierr = PetscPrintf(PETSC_COMM_WORLD, "L_2 Error: < %2.1e\n", (double)tol);CHKERRQ(ierr);}
940     else             {ierr = PetscPrintf(PETSC_COMM_WORLD, "L_2 Error: %g\n", (double)error);CHKERRQ(ierr);}
941     /* Check residual */
942     ierr = SNESComputeFunction(snes, u, r);CHKERRQ(ierr);
943     ierr = PetscPrintf(PETSC_COMM_WORLD, "Initial Residual\n");CHKERRQ(ierr);
944     ierr = VecChop(r, 1.0e-10);CHKERRQ(ierr);
945     if (!user.quiet) {ierr = VecView(r, PETSC_VIEWER_STDOUT_WORLD);CHKERRQ(ierr);}
946     ierr = VecNorm(r, NORM_2, &res);CHKERRQ(ierr);
947     ierr = PetscPrintf(PETSC_COMM_WORLD, "L_2 Residual: %g\n", (double)res);CHKERRQ(ierr);
948     /* Check Jacobian */
949     {
950       Vec b;
951 
952       ierr = SNESComputeJacobian(snes, u, A, A);CHKERRQ(ierr);
953       ierr = VecDuplicate(u, &b);CHKERRQ(ierr);
954       ierr = VecSet(r, 0.0);CHKERRQ(ierr);
955       ierr = SNESComputeFunction(snes, r, b);CHKERRQ(ierr);
956       ierr = MatMult(A, u, r);CHKERRQ(ierr);
957       ierr = VecAXPY(r, 1.0, b);CHKERRQ(ierr);
958       ierr = PetscPrintf(PETSC_COMM_WORLD, "Au - b = Au + F(0)\n");CHKERRQ(ierr);
959       ierr = VecChop(r, 1.0e-10);CHKERRQ(ierr);
960       if (!user.quiet) {ierr = VecView(r, PETSC_VIEWER_STDOUT_WORLD);CHKERRQ(ierr);}
961       ierr = VecNorm(r, NORM_2, &res);CHKERRQ(ierr);
962       ierr = PetscPrintf(PETSC_COMM_WORLD, "Linear L_2 Residual: %g\n", (double)res);CHKERRQ(ierr);
963       /* check solver */
964       if (user.checkksp) {
965         KSP ksp;
966 
967         if (nullSpace) {
968           ierr = MatNullSpaceRemove(nullSpace, u);CHKERRQ(ierr);
969         }
970         ierr = SNESComputeJacobian(snes, u, A, J);CHKERRQ(ierr);
971         ierr = MatMult(A, u, b);CHKERRQ(ierr);
972         ierr = SNESGetKSP(snes, &ksp);CHKERRQ(ierr);
973         ierr = KSPSetOperators(ksp, A, J);CHKERRQ(ierr);
974         ierr = KSPSolve(ksp, b, r);CHKERRQ(ierr);
975         ierr = VecAXPY(r, -1.0, u);CHKERRQ(ierr);
976         ierr = VecNorm(r, NORM_2, &res);CHKERRQ(ierr);
977         ierr = PetscPrintf(PETSC_COMM_WORLD, "KSP Error: %g\n", (double)res);CHKERRQ(ierr);
978       }
979       ierr = VecDestroy(&b);CHKERRQ(ierr);
980     }
981   }
982   ierr = VecViewFromOptions(u, NULL, "-vec_view");CHKERRQ(ierr);
983   {
984     Vec nu;
985 
986     ierr = DMGetAuxiliaryVec(dm, NULL, 0, &nu);CHKERRQ(ierr);
987     if (nu) {ierr = VecViewFromOptions(nu, NULL, "-coeff_view");CHKERRQ(ierr);}
988   }
989 
990   if (user.bdIntegral) {
991     DMLabel   label;
992     PetscInt  id = 1;
993     PetscScalar bdInt = 0.0;
994     PetscReal   exact = 3.3333333333;
995 
996     ierr = DMGetLabel(dm, "marker", &label);CHKERRQ(ierr);
997     ierr = DMPlexComputeBdIntegral(dm, u, label, 1, &id, bd_integral_2d, &bdInt, NULL);CHKERRQ(ierr);
998     ierr = PetscPrintf(PETSC_COMM_WORLD, "Solution boundary integral: %.4g\n", (double) PetscAbsScalar(bdInt));CHKERRQ(ierr);
999     PetscCheckFalse(PetscAbsReal(PetscAbsScalar(bdInt) - exact) > PETSC_SQRT_MACHINE_EPSILON,PETSC_COMM_WORLD, PETSC_ERR_PLIB, "Invalid boundary integral %g != %g", (double) PetscAbsScalar(bdInt), (double)exact);
1000   }
1001 
1002   ierr = MatNullSpaceDestroy(&nullSpace);CHKERRQ(ierr);
1003   if (user.jacobianMF) {ierr = VecDestroy(&userJ.u);CHKERRQ(ierr);}
1004   if (A != J) {ierr = MatDestroy(&A);CHKERRQ(ierr);}
1005   ierr = MatDestroy(&J);CHKERRQ(ierr);
1006   ierr = VecDestroy(&u);CHKERRQ(ierr);
1007   ierr = SNESDestroy(&snes);CHKERRQ(ierr);
1008   ierr = DMDestroy(&dm);CHKERRQ(ierr);
1009   ierr = PetscFree2(user.exactFuncs, user.exactFields);CHKERRQ(ierr);
1010   ierr = PetscFree(user.kgrid);CHKERRQ(ierr);
1011   ierr = PetscFinalize();
1012   return ierr;
1013 }
1014 
1015 /*TEST
1016   # 2D serial P1 test 0-4
1017   test:
1018     suffix: 2d_p1_0
1019     requires: triangle
1020     args: -run_type test -bc_type dirichlet -dm_plex_interpolate 0 -petscspace_degree 1 -show_initial -dm_plex_print_fem 1
1021 
1022   test:
1023     suffix: 2d_p1_1
1024     requires: triangle
1025     args: -run_type test -bc_type dirichlet -petscspace_degree 1 -show_initial -dm_plex_print_fem 1
1026 
1027   test:
1028     suffix: 2d_p1_2
1029     requires: triangle
1030     args: -run_type test -dm_refine_volume_limit_pre 0.0625 -bc_type dirichlet -petscspace_degree 1 -show_initial -dm_plex_print_fem 1
1031 
1032   test:
1033     suffix: 2d_p1_neumann_0
1034     requires: triangle
1035     args: -dm_coord_space 0 -run_type test -bc_type neumann -dm_plex_boundary_label boundary -petscspace_degree 1 -show_initial -dm_plex_print_fem 1 -dm_view ascii::ascii_info_detail
1036 
1037   test:
1038     suffix: 2d_p1_neumann_1
1039     requires: triangle
1040     args: -run_type test -dm_refine_volume_limit_pre 0.0625 -bc_type neumann -dm_plex_boundary_label boundary -petscspace_degree 1 -show_initial -dm_plex_print_fem 1
1041 
1042   # 2D serial P2 test 5-8
1043   test:
1044     suffix: 2d_p2_0
1045     requires: triangle
1046     args: -run_type test -bc_type dirichlet -petscspace_degree 2 -show_initial -dm_plex_print_fem 1
1047 
1048   test:
1049     suffix: 2d_p2_1
1050     requires: triangle
1051     args: -run_type test -dm_refine_volume_limit_pre 0.0625 -bc_type dirichlet -petscspace_degree 2 -show_initial -dm_plex_print_fem 1
1052 
1053   test:
1054     suffix: 2d_p2_neumann_0
1055     requires: triangle
1056     args: -dm_coord_space 0 -run_type test -bc_type neumann -dm_plex_boundary_label boundary -petscspace_degree 2 -show_initial -dm_plex_print_fem 1 -dm_view ascii::ascii_info_detail
1057 
1058   test:
1059     suffix: 2d_p2_neumann_1
1060     requires: triangle
1061     args: -dm_coord_space 0 -run_type test -dm_refine_volume_limit_pre 0.0625 -bc_type neumann -dm_plex_boundary_label boundary -petscspace_degree 2 -show_initial -dm_plex_print_fem 1 -dm_view ascii::ascii_info_detail
1062 
1063   test:
1064     suffix: bd_int_0
1065     requires: triangle
1066     args: -run_type test -bc_type dirichlet -petscspace_degree 2 -bd_integral -dm_view -quiet
1067 
1068   test:
1069     suffix: bd_int_1
1070     requires: triangle
1071     args: -run_type test -dm_refine 2 -bc_type dirichlet -petscspace_degree 2 -bd_integral -dm_view -quiet
1072 
1073   # 3D serial P1 test 9-12
1074   test:
1075     suffix: 3d_p1_0
1076     requires: ctetgen
1077     args: -run_type test -dm_plex_dim 3 -bc_type dirichlet -dm_plex_interpolate 0 -petscspace_degree 1 -show_initial -dm_plex_print_fem 1 -dm_view
1078 
1079   test:
1080     suffix: 3d_p1_1
1081     requires: ctetgen
1082     args: -run_type test -dm_plex_dim 3 -bc_type dirichlet -petscspace_degree 1 -show_initial -dm_plex_print_fem 1 -dm_view
1083 
1084   test:
1085     suffix: 3d_p1_2
1086     requires: ctetgen
1087     args: -run_type test -dm_plex_dim 3 -dm_refine_volume_limit_pre 0.0125 -bc_type dirichlet -petscspace_degree 1 -show_initial -dm_plex_print_fem 1 -dm_view
1088 
1089   test:
1090     suffix: 3d_p1_neumann_0
1091     requires: ctetgen
1092     args: -run_type test -dm_plex_dim 3 -bc_type neumann -dm_plex_boundary_label boundary -petscspace_degree 1 -snes_fd -show_initial -dm_plex_print_fem 1 -dm_view
1093 
1094   # Analytic variable coefficient 13-20
1095   test:
1096     suffix: 13
1097     requires: triangle
1098     args: -run_type test -variable_coefficient analytic -petscspace_degree 1 -show_initial -dm_plex_print_fem 1
1099   test:
1100     suffix: 14
1101     requires: triangle
1102     args: -run_type test -dm_refine_volume_limit_pre 0.0625 -variable_coefficient analytic -petscspace_degree 1 -show_initial -dm_plex_print_fem 1
1103   test:
1104     suffix: 15
1105     requires: triangle
1106     args: -run_type test -variable_coefficient analytic -petscspace_degree 2 -show_initial -dm_plex_print_fem 1
1107   test:
1108     suffix: 16
1109     requires: triangle
1110     args: -run_type test -dm_refine_volume_limit_pre 0.0625 -variable_coefficient analytic -petscspace_degree 2 -show_initial -dm_plex_print_fem 1
1111   test:
1112     suffix: 17
1113     requires: ctetgen
1114     args: -run_type test -dm_plex_dim 3 -variable_coefficient analytic -petscspace_degree 1 -show_initial -dm_plex_print_fem 1
1115 
1116   test:
1117     suffix: 18
1118     requires: ctetgen
1119     args: -run_type test -dm_plex_dim 3 -dm_refine_volume_limit_pre 0.0125 -variable_coefficient analytic -petscspace_degree 1 -show_initial -dm_plex_print_fem 1
1120 
1121   test:
1122     suffix: 19
1123     requires: ctetgen
1124     args: -run_type test -dm_plex_dim 3 -variable_coefficient analytic -petscspace_degree 2 -show_initial -dm_plex_print_fem 1
1125 
1126   test:
1127     suffix: 20
1128     requires: ctetgen
1129     args: -run_type test -dm_plex_dim 3 -dm_refine_volume_limit_pre 0.0125 -variable_coefficient analytic -petscspace_degree 2 -show_initial -dm_plex_print_fem 1
1130 
1131   # P1 variable coefficient 21-28
1132   test:
1133     suffix: 21
1134     requires: triangle
1135     args: -run_type test -variable_coefficient field -petscspace_degree 1 -mat_petscspace_degree 1 -show_initial -dm_plex_print_fem 1
1136 
1137   test:
1138     suffix: 22
1139     requires: triangle
1140     args: -run_type test -dm_refine_volume_limit_pre 0.0625 -variable_coefficient field -petscspace_degree 1 -mat_petscspace_degree 1 -show_initial -dm_plex_print_fem 1
1141 
1142   test:
1143     suffix: 23
1144     requires: triangle
1145     args: -run_type test -variable_coefficient field -petscspace_degree 2 -mat_petscspace_degree 1 -show_initial -dm_plex_print_fem 1
1146 
1147   test:
1148     suffix: 24
1149     requires: triangle
1150     args: -run_type test -dm_refine_volume_limit_pre 0.0625 -variable_coefficient field -petscspace_degree 2 -mat_petscspace_degree 1 -show_initial -dm_plex_print_fem 1
1151 
1152   test:
1153     suffix: 25
1154     requires: ctetgen
1155     args: -run_type test -dm_plex_dim 3 -variable_coefficient field -petscspace_degree 1 -mat_petscspace_degree 1 -show_initial -dm_plex_print_fem 1
1156 
1157   test:
1158     suffix: 26
1159     requires: ctetgen
1160     args: -run_type test -dm_plex_dim 3 -dm_refine_volume_limit_pre 0.0125 -variable_coefficient field -petscspace_degree 1 -mat_petscspace_degree 1 -show_initial -dm_plex_print_fem 1
1161 
1162   test:
1163     suffix: 27
1164     requires: ctetgen
1165     args: -run_type test -dm_plex_dim 3 -variable_coefficient field -petscspace_degree 2 -mat_petscspace_degree 1 -show_initial -dm_plex_print_fem 1
1166 
1167   test:
1168     suffix: 28
1169     requires: ctetgen
1170     args: -run_type test -dm_plex_dim 3 -dm_refine_volume_limit_pre 0.0125 -variable_coefficient field -petscspace_degree 2 -mat_petscspace_degree 1 -show_initial -dm_plex_print_fem 1
1171 
1172   # P0 variable coefficient 29-36
1173   test:
1174     suffix: 29
1175     requires: triangle
1176     args: -run_type test -variable_coefficient field -petscspace_degree 1 -show_initial -dm_plex_print_fem 1
1177 
1178   test:
1179     suffix: 30
1180     requires: triangle
1181     args: -run_type test -dm_refine_volume_limit_pre 0.0625 -variable_coefficient field -petscspace_degree 1 -show_initial -dm_plex_print_fem 1
1182 
1183   test:
1184     suffix: 31
1185     requires: triangle
1186     args: -run_type test -variable_coefficient field -petscspace_degree 2 -show_initial -dm_plex_print_fem 1
1187 
1188   test:
1189     requires: triangle
1190     suffix: 32
1191     args: -run_type test -dm_refine_volume_limit_pre 0.0625 -variable_coefficient field -petscspace_degree 2 -show_initial -dm_plex_print_fem 1
1192 
1193   test:
1194     requires: ctetgen
1195     suffix: 33
1196     args: -run_type test -dm_plex_dim 3 -variable_coefficient field -petscspace_degree 1 -show_initial -dm_plex_print_fem 1
1197 
1198   test:
1199     suffix: 34
1200     requires: ctetgen
1201     args: -run_type test -dm_plex_dim 3 -dm_refine_volume_limit_pre 0.0125 -variable_coefficient field -petscspace_degree 1 -show_initial -dm_plex_print_fem 1
1202 
1203   test:
1204     suffix: 35
1205     requires: ctetgen
1206     args: -run_type test -dm_plex_dim 3 -variable_coefficient field -petscspace_degree 2 -show_initial -dm_plex_print_fem 1
1207 
1208   test:
1209     suffix: 36
1210     requires: ctetgen
1211     args: -run_type test -dm_plex_dim 3 -dm_refine_volume_limit_pre 0.0125 -variable_coefficient field -petscspace_degree 2 -show_initial -dm_plex_print_fem 1
1212 
1213   # Full solve 39-44
1214   test:
1215     suffix: 39
1216     requires: triangle !single
1217     args: -run_type full -dm_refine_volume_limit_pre 0.015625 -petscspace_degree 2 -pc_type gamg -ksp_rtol 1.0e-10 -ksp_monitor_short -ksp_converged_reason -snes_monitor_short -snes_converged_reason ::ascii_info_detail
1218   test:
1219     suffix: 40
1220     requires: triangle !single
1221     args: -run_type full -dm_refine_volume_limit_pre 0.015625 -variable_coefficient nonlinear -petscspace_degree 2 -pc_type svd -ksp_rtol 1.0e-10 -snes_monitor_short -snes_converged_reason ::ascii_info_detail
1222   test:
1223     suffix: 41
1224     requires: triangle !single
1225     args: -run_type full -dm_refine_volume_limit_pre 0.03125 -variable_coefficient nonlinear -petscspace_degree 1 -snes_type fas -snes_fas_levels 2 -fas_coarse_pc_type svd -fas_coarse_ksp_rtol 1.0e-10 -fas_coarse_snes_monitor_short -snes_monitor_short -fas_coarse_snes_linesearch_type basic -snes_converged_reason ::ascii_info_detail -dm_refine_hierarchy 1 -snes_view -fas_levels_1_snes_type newtonls -fas_levels_1_pc_type svd -fas_levels_1_ksp_rtol 1.0e-10 -fas_levels_1_snes_monitor_short
1226   test:
1227     suffix: 42
1228     requires: triangle !single
1229     args: -run_type full -dm_refine_volume_limit_pre 0.0625 -variable_coefficient nonlinear -petscspace_degree 1 -snes_type fas -snes_fas_levels 3 -fas_coarse_pc_type svd -fas_coarse_ksp_rtol 1.0e-10 -fas_coarse_snes_monitor_short -snes_monitor_short -fas_coarse_snes_linesearch_type basic -snes_converged_reason ::ascii_info_detail -dm_refine_hierarchy 2 -snes_view -fas_levels_1_snes_type newtonls -fas_levels_1_pc_type svd -fas_levels_1_ksp_rtol 1.0e-10 -fas_levels_1_snes_monitor_short -fas_levels_2_snes_type newtonls -fas_levels_2_pc_type svd -fas_levels_2_ksp_rtol 1.0e-10 -fas_levels_2_snes_atol 1.0e-11 -fas_levels_2_snes_monitor_short
1230   test:
1231     suffix: 43
1232     requires: triangle !single
1233     nsize: 2
1234     args: -run_type full -dm_refine_volume_limit_pre 0.03125 -variable_coefficient nonlinear -petscspace_degree 1 -snes_type fas -snes_fas_levels 2 -fas_coarse_pc_type svd -fas_coarse_ksp_rtol 1.0e-10 -fas_coarse_snes_monitor_short -snes_monitor_short -fas_coarse_snes_linesearch_type basic -snes_converged_reason ::ascii_info_detail -dm_refine_hierarchy 1 -snes_view -fas_levels_1_snes_type newtonls -fas_levels_1_pc_type svd -fas_levels_1_ksp_rtol 1.0e-10 -fas_levels_1_snes_monitor_short
1235 
1236   test:
1237     suffix: 44
1238     requires: triangle !single
1239     nsize: 2
1240     args: -run_type full -dm_refine_volume_limit_pre 0.0625 -variable_coefficient nonlinear -petscspace_degree 1 -snes_type fas -snes_fas_levels 3 -fas_coarse_pc_type svd -fas_coarse_ksp_rtol 1.0e-10 -fas_coarse_snes_monitor_short -snes_monitor_short  -fas_coarse_snes_linesearch_type basic -snes_converged_reason ::ascii_info_detail -dm_refine_hierarchy 2 -dm_plex_print_fem 0 -snes_view -fas_levels_1_snes_type newtonls -fas_levels_1_pc_type svd -fas_levels_1_ksp_rtol 1.0e-10 -fas_levels_1_snes_monitor_short -fas_levels_2_snes_type newtonls -fas_levels_2_pc_type svd -fas_levels_2_ksp_rtol 1.0e-10 -fas_levels_2_snes_atol 1.0e-11 -fas_levels_2_snes_monitor_short
1241 
1242   # These tests use a loose tolerance just to exercise the PtAP operations for MATIS and multiple PCBDDC setup calls inside PCMG
1243   testset:
1244     requires: triangle !single
1245     nsize: 3
1246     args: -run_type full -petscspace_degree 1 -dm_mat_type is -pc_type mg -pc_mg_levels 2 -mg_coarse_pc_type bddc -pc_mg_galerkin pmat -ksp_rtol 1.0e-2 -snes_converged_reason -dm_refine_hierarchy 2 -snes_max_it 4
1247     test:
1248       suffix: gmg_bddc
1249       filter: sed -e "s/CONVERGED_FNORM_RELATIVE iterations 3/CONVERGED_FNORM_RELATIVE iterations 4/g"
1250       args: -mg_levels_pc_type jacobi
1251     test:
1252       filter: sed -e "s/iterations [0-4]/iterations 4/g"
1253       suffix: gmg_bddc_lev
1254       args: -mg_levels_pc_type bddc
1255 
1256   # Restarting
1257   testset:
1258     suffix: restart
1259     requires: hdf5 triangle !complex
1260     args: -run_type test -bc_type dirichlet -petscspace_degree 1
1261     test:
1262       args: -dm_view hdf5:sol.h5 -vec_view hdf5:sol.h5::append
1263     test:
1264       args: -dm_plex_filename sol.h5 -dm_plex_name box -restart
1265 
1266   # Periodicity
1267   test:
1268     suffix: periodic_0
1269     requires: triangle
1270     args: -run_type full -bc_type dirichlet -petscspace_degree 1 -snes_converged_reason ::ascii_info_detail
1271 
1272   test:
1273     requires: !complex
1274     suffix: periodic_1
1275     args: -quiet -run_type test -dm_plex_simplex 0 -dm_plex_box_faces 3,3 -dm_plex_box_bd periodic,periodic -vec_view vtk:test.vtu:vtk_vtu -petscspace_degree 1 -dm_refine 1
1276 
1277   # 2D serial P1 test with field bc
1278   test:
1279     suffix: field_bc_2d_p1_0
1280     requires: triangle
1281     args: -run_type test -bc_type dirichlet -field_bc -petscspace_degree 1 -bc_petscspace_degree 2 -show_initial -dm_plex_print_fem 1
1282 
1283   test:
1284     suffix: field_bc_2d_p1_1
1285     requires: triangle
1286     args: -run_type test -dm_refine 1 -bc_type dirichlet -field_bc -petscspace_degree 1 -bc_petscspace_degree 2 -show_initial -dm_plex_print_fem 1
1287 
1288   test:
1289     suffix: field_bc_2d_p1_neumann_0
1290     requires: triangle
1291     args: -run_type test -bc_type neumann -dm_plex_boundary_label boundary -field_bc -petscspace_degree 1 -bc_petscspace_degree 2 -show_initial -dm_plex_print_fem 1
1292 
1293   test:
1294     suffix: field_bc_2d_p1_neumann_1
1295     requires: triangle
1296     args: -run_type test -dm_refine 1 -bc_type neumann -dm_plex_boundary_label boundary -field_bc -petscspace_degree 1 -bc_petscspace_degree 2 -show_initial -dm_plex_print_fem 1
1297 
1298   # 3D serial P1 test with field bc
1299   test:
1300     suffix: field_bc_3d_p1_0
1301     requires: ctetgen
1302     args: -run_type test -dm_plex_dim 3 -bc_type dirichlet -field_bc -petscspace_degree 1 -bc_petscspace_degree 2 -show_initial -dm_plex_print_fem 1
1303 
1304   test:
1305     suffix: field_bc_3d_p1_1
1306     requires: ctetgen
1307     args: -run_type test -dm_plex_dim 3 -dm_refine 1 -bc_type dirichlet -field_bc -petscspace_degree 1 -bc_petscspace_degree 2 -show_initial -dm_plex_print_fem 1
1308 
1309   test:
1310     suffix: field_bc_3d_p1_neumann_0
1311     requires: ctetgen
1312     args: -run_type test -dm_plex_dim 3 -bc_type neumann -dm_plex_boundary_label boundary -field_bc -petscspace_degree 1 -bc_petscspace_degree 2 -show_initial -dm_plex_print_fem 1
1313 
1314   test:
1315     suffix: field_bc_3d_p1_neumann_1
1316     requires: ctetgen
1317     args: -run_type test -dm_plex_dim 3 -dm_refine 1 -bc_type neumann -dm_plex_boundary_label boundary -field_bc -petscspace_degree 1 -bc_petscspace_degree 2 -show_initial -dm_plex_print_fem 1
1318 
1319   # 2D serial P2 test with field bc
1320   test:
1321     suffix: field_bc_2d_p2_0
1322     requires: triangle
1323     args: -run_type test -bc_type dirichlet -field_bc -petscspace_degree 2 -bc_petscspace_degree 2 -show_initial -dm_plex_print_fem 1
1324 
1325   test:
1326     suffix: field_bc_2d_p2_1
1327     requires: triangle
1328     args: -run_type test -dm_refine 1 -bc_type dirichlet -field_bc -petscspace_degree 2 -bc_petscspace_degree 2 -show_initial -dm_plex_print_fem 1
1329 
1330   test:
1331     suffix: field_bc_2d_p2_neumann_0
1332     requires: triangle
1333     args: -run_type test -bc_type neumann -dm_plex_boundary_label boundary -field_bc -petscspace_degree 2 -bc_petscspace_degree 2 -show_initial -dm_plex_print_fem 1
1334 
1335   test:
1336     suffix: field_bc_2d_p2_neumann_1
1337     requires: triangle
1338     args: -run_type test -dm_refine 1 -bc_type neumann -dm_plex_boundary_label boundary -field_bc -petscspace_degree 2 -bc_petscspace_degree 2 -show_initial -dm_plex_print_fem 1
1339 
1340   # 3D serial P2 test with field bc
1341   test:
1342     suffix: field_bc_3d_p2_0
1343     requires: ctetgen
1344     args: -run_type test -dm_plex_dim 3 -bc_type dirichlet -field_bc -petscspace_degree 2 -bc_petscspace_degree 2 -show_initial -dm_plex_print_fem 1
1345 
1346   test:
1347     suffix: field_bc_3d_p2_1
1348     requires: ctetgen
1349     args: -run_type test -dm_plex_dim 3 -dm_refine 1 -bc_type dirichlet -field_bc -petscspace_degree 2 -bc_petscspace_degree 2 -show_initial -dm_plex_print_fem 1
1350 
1351   test:
1352     suffix: field_bc_3d_p2_neumann_0
1353     requires: ctetgen
1354     args: -run_type test -dm_plex_dim 3 -bc_type neumann -dm_plex_boundary_label boundary -field_bc -petscspace_degree 2 -bc_petscspace_degree 2 -show_initial -dm_plex_print_fem 1
1355 
1356   test:
1357     suffix: field_bc_3d_p2_neumann_1
1358     requires: ctetgen
1359     args: -run_type test -dm_plex_dim 3 -dm_refine 1 -bc_type neumann -dm_plex_boundary_label boundary -field_bc -petscspace_degree 2 -bc_petscspace_degree 2 -show_initial -dm_plex_print_fem 1
1360 
1361   # Full solve simplex: Convergence
1362   test:
1363     suffix: 3d_p1_conv
1364     requires: ctetgen
1365     args: -run_type full -dm_plex_dim 3 -dm_refine 1 -bc_type dirichlet -petscspace_degree 1 \
1366       -snes_convergence_estimate -convest_num_refine 1 -pc_type lu
1367 
1368   # Full solve simplex: PCBDDC
1369   test:
1370     suffix: tri_bddc
1371     requires: triangle !single
1372     nsize: 5
1373     args: -run_type full -petscpartitioner_type simple -dm_refine 2 -bc_type dirichlet -petscspace_degree 1 -ksp_type gmres -ksp_gmres_restart 100 -ksp_rtol 1.0e-9 -dm_mat_type is -pc_type bddc -snes_monitor_short -ksp_monitor_short -snes_converged_reason ::ascii_info_detail -ksp_converged_reason -snes_view -show_solution 0
1374 
1375   # Full solve simplex: PCBDDC
1376   test:
1377     suffix: tri_parmetis_bddc
1378     requires: triangle !single parmetis
1379     nsize: 4
1380     args: -run_type full -petscpartitioner_type parmetis -dm_refine 2 -bc_type dirichlet -petscspace_degree 1 -ksp_type gmres -ksp_gmres_restart 100 -ksp_rtol 1.0e-9 -dm_mat_type is -pc_type bddc -snes_monitor_short -ksp_monitor_short -snes_converged_reason ::ascii_info_detail -ksp_converged_reason -snes_view -show_solution 0
1381 
1382   testset:
1383     args: -run_type full -dm_plex_simplex 0 -dm_plex_box_faces 3,3 -petscpartitioner_type simple -dm_refine 2 -bc_type dirichlet -petscspace_degree 2 -dm_mat_type is -pc_type bddc -ksp_type gmres -snes_monitor_short -ksp_monitor_short -snes_view -petscspace_poly_tensor -pc_bddc_corner_selection -ksp_rtol 1.e-9 -pc_bddc_use_edges 0
1384     nsize: 5
1385     output_file: output/ex12_quad_bddc.out
1386     filter: sed -e "s/aijcusparse/aij/g" -e "s/aijviennacl/aij/g" -e "s/factorization: cusparse/factorization: petsc/g"
1387     test:
1388       requires: !single
1389       suffix: quad_bddc
1390     test:
1391       requires: !single cuda
1392       suffix: quad_bddc_cuda
1393       args: -matis_localmat_type aijcusparse -pc_bddc_dirichlet_pc_factor_mat_solver_type cusparse -pc_bddc_neumann_pc_factor_mat_solver_type cusparse
1394     test:
1395       requires: !single viennacl
1396       suffix: quad_bddc_viennacl
1397       args: -matis_localmat_type aijviennacl
1398 
1399   # Full solve simplex: ASM
1400   test:
1401     suffix: tri_q2q1_asm_lu
1402     requires: triangle !single
1403     args: -run_type full -dm_refine 3 -bc_type dirichlet -petscspace_degree 1 -ksp_type gmres -ksp_gmres_restart 100 -ksp_rtol 1.0e-9 -pc_type asm -pc_asm_type restrict -pc_asm_blocks 4 -sub_pc_type lu -snes_monitor_short -ksp_monitor_short -snes_converged_reason ::ascii_info_detail -ksp_converged_reason -snes_view -show_solution 0
1404 
1405   test:
1406     suffix: tri_q2q1_msm_lu
1407     requires: triangle !single
1408     args: -run_type full -dm_refine 3 -bc_type dirichlet -petscspace_degree 1 -ksp_type gmres -ksp_gmres_restart 100 -ksp_rtol 1.0e-9 -pc_type asm -pc_asm_type restrict -pc_asm_local_type multiplicative -pc_asm_blocks 4 -sub_pc_type lu -snes_monitor_short -ksp_monitor_short -snes_converged_reason ::ascii_info_detail -ksp_converged_reason -snes_view -show_solution 0
1409 
1410   test:
1411     suffix: tri_q2q1_asm_sor
1412     requires: triangle !single
1413     args: -run_type full -dm_refine 3 -bc_type dirichlet -petscspace_degree 1 -ksp_type gmres -ksp_gmres_restart 100 -ksp_rtol 1.0e-9 -pc_type asm -pc_asm_type restrict -pc_asm_blocks 4 -sub_pc_type sor -snes_monitor_short -ksp_monitor_short -snes_converged_reason ::ascii_info_detail -ksp_converged_reason -snes_view -show_solution 0
1414 
1415   test:
1416     suffix: tri_q2q1_msm_sor
1417     requires: triangle !single
1418     args: -run_type full -dm_refine 3 -bc_type dirichlet -petscspace_degree 1 -ksp_type gmres -ksp_gmres_restart 100 -ksp_rtol 1.0e-9 -pc_type asm -pc_asm_type restrict -pc_asm_local_type multiplicative -pc_asm_blocks 4 -sub_pc_type sor -snes_monitor_short -ksp_monitor_short -snes_converged_reason ::ascii_info_detail -ksp_converged_reason -snes_view -show_solution 0
1419 
1420   # Full solve simplex: FAS
1421   test:
1422     suffix: fas_newton_0
1423     requires: triangle !single
1424     args: -run_type full -variable_coefficient nonlinear -petscspace_degree 1 -snes_type fas -snes_fas_levels 2 -fas_coarse_pc_type svd -fas_coarse_ksp_rtol 1.0e-10 -fas_coarse_snes_monitor_short -snes_monitor_short -fas_coarse_snes_linesearch_type basic -snes_converged_reason ::ascii_info_detail -dm_refine_hierarchy 1 -snes_view -fas_levels_1_snes_type newtonls -fas_levels_1_pc_type svd -fas_levels_1_ksp_rtol 1.0e-10 -fas_levels_1_snes_monitor_short
1425 
1426   test:
1427     suffix: fas_newton_1
1428     requires: triangle !single
1429     args: -run_type full -dm_refine_hierarchy 3 -petscspace_degree 1 -snes_type fas -snes_fas_levels 3 -fas_coarse_pc_type lu -fas_coarse_snes_monitor_short -snes_monitor_short -fas_coarse_snes_linesearch_type basic -snes_converged_reason ::ascii_info_detail -snes_view -fas_levels_snes_type newtonls -fas_levels_snes_linesearch_type basic -fas_levels_ksp_rtol 1.0e-10 -fas_levels_snes_monitor_short
1430     filter: sed -e "s/total number of linear solver iterations=14/total number of linear solver iterations=15/g"
1431 
1432   test:
1433     suffix: fas_ngs_0
1434     requires: triangle !single
1435     args: -run_type full -variable_coefficient nonlinear -petscspace_degree 1 -snes_type fas -snes_fas_levels 2 -fas_coarse_pc_type svd -fas_coarse_ksp_rtol 1.0e-10 -fas_coarse_snes_monitor_short -snes_monitor_short -fas_coarse_snes_linesearch_type basic -snes_converged_reason ::ascii_info_detail -dm_refine_hierarchy 1 -snes_view -fas_levels_1_snes_type ngs -fas_levels_1_snes_monitor_short
1436 
1437   # These two tests are broken because DMPlexComputeInjectorFEM() only works for regularly refined meshes
1438   test:
1439     suffix: fas_newton_coarse_0
1440     requires: pragmatic triangle
1441     TODO: broken
1442     args: -run_type full -variable_coefficient nonlinear -petscspace_degree 1 \
1443           -dm_refine 2 -dm_coarsen_hierarchy 1 -dm_plex_hash_location -dm_adaptor pragmatic \
1444           -snes_type fas -snes_fas_levels 2 -snes_converged_reason ::ascii_info_detail -snes_monitor_short -snes_view \
1445             -fas_coarse_pc_type svd -fas_coarse_ksp_rtol 1.0e-10 -fas_coarse_snes_monitor_short -fas_coarse_snes_linesearch_type basic \
1446             -fas_levels_1_snes_type newtonls -fas_levels_1_pc_type svd -fas_levels_1_ksp_rtol 1.0e-10 -fas_levels_1_snes_monitor_short
1447 
1448   test:
1449     suffix: mg_newton_coarse_0
1450     requires: triangle pragmatic
1451     TODO: broken
1452     args: -run_type full -petscspace_degree 1 \
1453           -dm_refine 3 -dm_coarsen_hierarchy 3 -dm_plex_hash_location -dm_adaptor pragmatic \
1454           -snes_atol 1.0e-8 -snes_rtol 0.0 -snes_monitor_short -snes_converged_reason ::ascii_info_detail -snes_view \
1455             -ksp_type richardson -ksp_atol 1.0e-8 -ksp_rtol 0.0 -ksp_norm_type unpreconditioned -ksp_monitor_true_residual \
1456               -pc_type mg -pc_mg_levels 4 \
1457               -mg_levels_ksp_type gmres -mg_levels_pc_type ilu -mg_levels_ksp_max_it 10
1458 
1459   # Full solve tensor
1460   test:
1461     suffix: tensor_plex_2d
1462     args: -run_type test -dm_plex_simplex 0 -bc_type dirichlet -petscspace_degree 1 -dm_refine_hierarchy 2
1463 
1464   test:
1465     suffix: tensor_p4est_2d
1466     requires: p4est
1467     args: -run_type test -dm_plex_simplex 0 -bc_type dirichlet -petscspace_degree 1 -dm_forest_initial_refinement 2 -dm_forest_minimum_refinement 0 -dm_plex_convert_type p4est
1468 
1469   test:
1470     suffix: tensor_plex_3d
1471     args: -run_type test -dm_plex_simplex 0 -bc_type dirichlet -petscspace_degree 1 -dm_plex_dim 3 -dm_refine_hierarchy 1 -dm_plex_box_faces 2,2,2
1472 
1473   test:
1474     suffix: tensor_p4est_3d
1475     requires: p4est
1476     args: -run_type test -dm_plex_simplex 0 -bc_type dirichlet -petscspace_degree 1 -dm_forest_initial_refinement 1 -dm_forest_minimum_refinement 0 -dm_plex_dim 3 -dm_plex_convert_type p8est -dm_plex_box_faces 2,2,2
1477 
1478   test:
1479     suffix: p4est_test_q2_conformal_serial
1480     requires: p4est
1481     args: -run_type test -petscspace_degree 2 -dm_plex_simplex 0 -dm_plex_convert_type p4est -dm_forest_minimum_refinement 0 -dm_forest_initial_refinement 2
1482 
1483   test:
1484     suffix: p4est_test_q2_conformal_parallel
1485     requires: p4est
1486     nsize: 7
1487     args: -run_type test -petscspace_degree 2 -dm_plex_simplex 0 -dm_plex_convert_type p4est -dm_forest_minimum_refinement 0 -dm_forest_initial_refinement 2 -petscpartitioner_type simple
1488 
1489   test:
1490     suffix: p4est_test_q2_conformal_parallel_parmetis
1491     requires: parmetis p4est
1492     nsize: 4
1493     args: -run_type test -petscspace_degree 2 -dm_plex_simplex 0 -dm_plex_convert_type p4est -dm_forest_minimum_refinement 0 -dm_forest_initial_refinement 2 -petscpartitioner_type parmetis
1494 
1495   test:
1496     suffix: p4est_test_q2_nonconformal_serial
1497     requires: p4est
1498     filter: grep -v "CG or CGNE: variant"
1499     args: -run_type test -petscspace_degree 2 -dm_plex_simplex 0 -dm_plex_convert_type p4est -dm_forest_minimum_refinement 0 -dm_forest_initial_refinement 2 -dm_forest_maximum_refinement 4 -dm_p4est_refine_pattern hash
1500 
1501   test:
1502     suffix: p4est_test_q2_nonconformal_parallel
1503     requires: p4est
1504     filter: grep -v "CG or CGNE: variant"
1505     nsize: 7
1506     args: -run_type test -petscspace_degree 2 -dm_plex_simplex 0 -dm_plex_convert_type p4est -dm_forest_minimum_refinement 0 -dm_forest_initial_refinement 2 -dm_forest_maximum_refinement 4 -dm_p4est_refine_pattern hash -petscpartitioner_type simple
1507 
1508   test:
1509     suffix: p4est_test_q2_nonconformal_parallel_parmetis
1510     requires: parmetis p4est
1511     nsize: 4
1512     args: -run_type test -petscspace_degree 2 -dm_plex_simplex 0 -dm_plex_convert_type p4est -dm_forest_minimum_refinement 0 -dm_forest_initial_refinement 2 -dm_forest_maximum_refinement 4 -dm_p4est_refine_pattern hash -petscpartitioner_type parmetis
1513 
1514   test:
1515     suffix: p4est_exact_q2_conformal_serial
1516     requires: p4est !single !complex !__float128
1517     args: -run_type exact -petscspace_degree 2 -fas_levels_snes_atol 1.e-10 -snes_max_it 1 -snes_type fas -snes_fas_levels 3 -fas_coarse_pc_type none -fas_coarse_ksp_type preonly -fas_coarse_snes_monitor_short -snes_monitor_short -fas_coarse_snes_linesearch_type basic -snes_converged_reason ::ascii_info_detail -snes_view -fas_levels_snes_type newtonls -fas_levels_pc_type none -fas_levels_ksp_type preonly -fas_levels_snes_monitor_short -dm_plex_simplex 0 -dm_plex_convert_type p4est -dm_forest_minimum_refinement 0 -dm_forest_initial_refinement 2
1518 
1519   test:
1520     suffix: p4est_exact_q2_conformal_parallel
1521     requires: p4est !single !complex !__float128
1522     nsize: 4
1523     args: -run_type exact -petscspace_degree 2 -fas_levels_snes_atol 1.e-10 -snes_max_it 1 -snes_type fas -snes_fas_levels 3 -fas_coarse_pc_type none -fas_coarse_ksp_type preonly -fas_coarse_snes_monitor_short -snes_monitor_short -fas_coarse_snes_linesearch_type basic -snes_converged_reason ::ascii_info_detail -snes_view -fas_levels_snes_type newtonls -fas_levels_pc_type none -fas_levels_ksp_type preonly -fas_levels_snes_monitor_short -dm_plex_simplex 0 -dm_plex_convert_type p4est -dm_forest_minimum_refinement 0 -dm_forest_initial_refinement 2
1524 
1525   test:
1526     suffix: p4est_exact_q2_conformal_parallel_parmetis
1527     requires: parmetis p4est !single
1528     nsize: 4
1529     args: -run_type exact -petscspace_degree 2 -fas_levels_snes_atol 1.e-10 -snes_max_it 1 -snes_type fas -snes_fas_levels 3 -fas_coarse_pc_type none -fas_coarse_ksp_type preonly -fas_coarse_snes_monitor_short -snes_monitor_short -fas_coarse_snes_linesearch_type basic -snes_converged_reason ::ascii_info_detail -snes_view -fas_levels_snes_type newtonls -fas_levels_pc_type none -fas_levels_ksp_type preonly -fas_levels_snes_monitor_short -dm_plex_simplex 0 -dm_plex_convert_type p4est -dm_forest_minimum_refinement 0 -dm_forest_initial_refinement 2 -petscpartitioner_type parmetis
1530 
1531   test:
1532     suffix: p4est_exact_q2_nonconformal_serial
1533     requires: p4est
1534     args: -run_type exact -petscspace_degree 2 -fas_levels_snes_atol 1.e-10 -snes_max_it 1 -snes_type fas -snes_fas_levels 3 -fas_coarse_pc_type none -fas_coarse_ksp_type preonly -fas_coarse_snes_monitor_short -snes_monitor_short -fas_coarse_snes_linesearch_type basic -snes_converged_reason ::ascii_info_detail -snes_view -fas_levels_snes_type newtonls -fas_levels_pc_type none -fas_levels_ksp_type preonly -fas_levels_snes_monitor_short -dm_plex_simplex 0 -dm_plex_convert_type p4est -dm_forest_minimum_refinement 0 -dm_forest_initial_refinement 2 -dm_forest_maximum_refinement 4 -dm_p4est_refine_pattern hash
1535 
1536   test:
1537     suffix: p4est_exact_q2_nonconformal_parallel
1538     requires: p4est
1539     nsize: 7
1540     args: -run_type exact -petscspace_degree 2 -fas_levels_snes_atol 1.e-10 -snes_max_it 1 -snes_type fas -snes_fas_levels 3 -fas_coarse_pc_type none -fas_coarse_ksp_type preonly -fas_coarse_snes_monitor_short -snes_monitor_short -fas_coarse_snes_linesearch_type basic -snes_converged_reason ::ascii_info_detail -snes_view -fas_levels_snes_type newtonls -fas_levels_pc_type none -fas_levels_ksp_type preonly -fas_levels_snes_monitor_short -dm_plex_simplex 0 -dm_plex_convert_type p4est -dm_forest_minimum_refinement 0 -dm_forest_initial_refinement 2 -dm_forest_maximum_refinement 4 -dm_p4est_refine_pattern hash -petscpartitioner_type simple
1541 
1542   test:
1543     suffix: p4est_exact_q2_nonconformal_parallel_parmetis
1544     requires: parmetis p4est
1545     nsize: 4
1546     args: -run_type exact -petscspace_degree 2 -fas_levels_snes_atol 1.e-10 -snes_max_it 1 -snes_type fas -snes_fas_levels 3 -fas_coarse_pc_type none -fas_coarse_ksp_type preonly -fas_coarse_snes_monitor_short -snes_monitor_short -fas_coarse_snes_linesearch_type basic -snes_converged_reason ::ascii_info_detail -snes_view -fas_levels_snes_type newtonls -fas_levels_pc_type none -fas_levels_ksp_type preonly -fas_levels_snes_monitor_short -dm_plex_simplex 0 -dm_plex_convert_type p4est -dm_forest_minimum_refinement 0 -dm_forest_initial_refinement 2 -dm_forest_maximum_refinement 4 -dm_p4est_refine_pattern hash -petscpartitioner_type parmetis
1547 
1548   test:
1549     suffix: p4est_full_q2_nonconformal_serial
1550     requires: p4est !single
1551     filter: grep -v "variant HERMITIAN"
1552     args: -run_type full -petscspace_degree 2 -snes_max_it 20 -snes_type fas -snes_fas_levels 3 -fas_coarse_pc_type jacobi -fas_coarse_ksp_type cg -fas_coarse_snes_monitor_short -snes_monitor_short -fas_coarse_snes_linesearch_type basic -snes_converged_reason ::ascii_info_detail -snes_view -fas_levels_snes_type newtonls -fas_levels_pc_type jacobi -fas_levels_ksp_type cg -fas_levels_snes_monitor_short -dm_plex_simplex 0 -dm_plex_convert_type p4est -dm_forest_minimum_refinement 0 -dm_forest_initial_refinement 2 -dm_forest_maximum_refinement 4 -dm_p4est_refine_pattern hash
1553 
1554   test:
1555     suffix: p4est_full_q2_nonconformal_parallel
1556     requires: p4est !single
1557     filter: grep -v "variant HERMITIAN"
1558     nsize: 7
1559     args: -run_type full -petscspace_degree 2 -snes_max_it 20 -snes_type fas -snes_fas_levels 3 -fas_coarse_pc_type jacobi -fas_coarse_ksp_type cg -fas_coarse_snes_monitor_short -snes_monitor_short -fas_coarse_snes_linesearch_type basic -snes_converged_reason ::ascii_info_detail -snes_view -fas_levels_snes_type newtonls -fas_levels_pc_type jacobi -fas_levels_ksp_type cg -fas_levels_snes_monitor_short -dm_plex_simplex 0 -dm_plex_convert_type p4est -dm_forest_minimum_refinement 0 -dm_forest_initial_refinement 2 -dm_forest_maximum_refinement 4 -dm_p4est_refine_pattern hash -petscpartitioner_type simple
1560 
1561   test:
1562     suffix: p4est_full_q2_nonconformal_parallel_bddcfas
1563     requires: p4est !single
1564     filter: grep -v "variant HERMITIAN"
1565     nsize: 7
1566     args: -run_type full -petscspace_degree 2 -snes_max_it 20 -snes_type fas -snes_fas_levels 3 -dm_mat_type is -fas_coarse_pc_type bddc -fas_coarse_ksp_type cg -fas_coarse_snes_monitor_short -snes_monitor_short -fas_coarse_snes_linesearch_type basic -snes_converged_reason ::ascii_info_detail -snes_view -fas_levels_snes_type newtonls -fas_levels_pc_type bddc -fas_levels_ksp_type cg -fas_levels_snes_monitor_short -dm_plex_simplex 0 -dm_plex_convert_type p4est -dm_forest_minimum_refinement 0 -dm_forest_initial_refinement 2 -dm_forest_maximum_refinement 4 -dm_p4est_refine_pattern hash -petscpartitioner_type simple
1567 
1568   test:
1569     suffix: p4est_full_q2_nonconformal_parallel_bddc
1570     requires: p4est !single
1571     filter: grep -v "variant HERMITIAN"
1572     nsize: 7
1573     args: -run_type full -petscspace_degree 2 -snes_max_it 20 -snes_type newtonls -dm_mat_type is -pc_type bddc -ksp_type cg -snes_monitor_short -snes_linesearch_type basic -snes_converged_reason ::ascii_info_detail -snes_view -dm_plex_simplex 0 -dm_plex_convert_type p4est -dm_forest_minimum_refinement 0 -dm_forest_initial_refinement 2 -dm_forest_maximum_refinement 4 -dm_p4est_refine_pattern hash -petscpartitioner_type simple
1574 
1575   test:
1576     TODO: broken
1577     suffix: p4est_fas_q2_conformal_serial
1578     requires: p4est !complex !__float128
1579     args: -run_type full -variable_coefficient nonlinear -petscspace_degree 2 -snes_max_it 20 -snes_type fas -snes_fas_levels 3 -pc_type jacobi -ksp_type gmres -fas_coarse_pc_type svd -fas_coarse_ksp_type gmres -fas_coarse_snes_monitor_short -snes_monitor_short -fas_coarse_snes_linesearch_type basic -snes_converged_reason ::ascii_info_detail -snes_view -fas_levels_snes_type newtonls -fas_levels_pc_type svd -fas_levels_ksp_type gmres -fas_levels_snes_monitor_short -dm_plex_simplex 0 -dm_refine_hierarchy 3
1580 
1581   test:
1582     TODO: broken
1583     suffix: p4est_fas_q2_nonconformal_serial
1584     requires: p4est
1585     args: -run_type full -variable_coefficient nonlinear -petscspace_degree 2 -snes_max_it 20 -snes_type fas -snes_fas_levels 3 -pc_type jacobi -ksp_type gmres -fas_coarse_pc_type jacobi -fas_coarse_ksp_type gmres -fas_coarse_ksp_monitor_true_residual -fas_coarse_snes_monitor_short -snes_monitor_short -fas_coarse_snes_linesearch_type basic -snes_converged_reason ::ascii_info_detail -snes_view -fas_levels_snes_type newtonls -fas_levels_pc_type jacobi -fas_levels_ksp_type gmres -fas_levels_snes_monitor_short -dm_plex_simplex 0 -dm_plex_convert_type p4est -dm_forest_minimum_refinement 0 -dm_forest_initial_refinement 2 -dm_forest_maximum_refinement 4 -dm_p4est_refine_pattern hash
1586 
1587   test:
1588     suffix: fas_newton_0_p4est
1589     requires: p4est !single !__float128
1590     args: -run_type full -variable_coefficient nonlinear -petscspace_degree 1 -snes_type fas -snes_fas_levels 2 -fas_coarse_pc_type svd -fas_coarse_ksp_rtol 1.0e-10 -fas_coarse_snes_monitor_short -snes_monitor_short -fas_coarse_snes_linesearch_type basic -snes_converged_reason ::ascii_info_detail -snes_view -fas_levels_1_snes_type newtonls -fas_levels_1_pc_type svd -fas_levels_1_ksp_rtol 1.0e-10 -fas_levels_1_snes_monitor_short -dm_plex_simplex 0 -dm_plex_convert_type p4est -dm_forest_minimum_refinement 0 -dm_forest_initial_refinement 2 -dm_forest_maximum_refinement 4 -dm_p4est_refine_pattern hash
1591 
1592   # Full solve simplicial AMR
1593   test:
1594     suffix: tri_p1_adapt_init_pragmatic
1595     requires: pragmatic
1596     args: -run_type exact -dm_refine 5 -bc_type dirichlet -petscspace_degree 1 -variable_coefficient ball -snes_converged_reason ::ascii_info_detail -pc_type lu -snes_adapt_initial 1 -adaptor_target_num 4000 -dm_plex_metric_h_max 0.5 -dm_adaptor pragmatic
1597 
1598   test:
1599     suffix: tri_p2_adapt_init_pragmatic
1600     requires: pragmatic
1601     args: -run_type exact -dm_refine 5 -bc_type dirichlet -petscspace_degree 2 -variable_coefficient ball -snes_converged_reason ::ascii_info_detail -pc_type lu -snes_adapt_initial 1 -adaptor_target_num 4000 -dm_plex_metric_h_max 0.5 -dm_adaptor pragmatic
1602 
1603   test:
1604     suffix: tri_p1_adapt_init_mmg
1605     requires: mmg
1606     args: -run_type exact -dm_refine 5 -bc_type dirichlet -petscspace_degree 1 -variable_coefficient ball -snes_converged_reason ::ascii_info_detail -pc_type lu -snes_adapt_initial 1 -adaptor_target_num 4000 -dm_plex_metric_h_max 0.5 -dm_adaptor mmg
1607 
1608   test:
1609     suffix: tri_p2_adapt_init_mmg
1610     requires: mmg
1611     args: -run_type exact -dm_refine 5 -bc_type dirichlet -petscspace_degree 2 -variable_coefficient ball -snes_converged_reason ::ascii_info_detail -pc_type lu -snes_adapt_initial 1 -adaptor_target_num 4000 -dm_plex_metric_h_max 0.5 -dm_adaptor mmg
1612 
1613   test:
1614     suffix: tri_p1_adapt_seq_pragmatic
1615     requires: pragmatic
1616     args: -run_type exact -dm_refine 5 -bc_type dirichlet -petscspace_degree 1 -variable_coefficient ball -snes_converged_reason ::ascii_info_detail -pc_type lu -snes_adapt_sequence 2 -adaptor_target_num 4000 -dm_plex_metric_h_max 0.5 -dm_adaptor pragmatic
1617 
1618   test:
1619     suffix: tri_p2_adapt_seq_pragmatic
1620     requires: pragmatic
1621     args: -run_type exact -dm_refine 5 -bc_type dirichlet -petscspace_degree 2 -variable_coefficient ball -snes_converged_reason ::ascii_info_detail -pc_type lu -snes_adapt_sequence 2 -adaptor_target_num 4000 -dm_plex_metric_h_max 0.5 -dm_adaptor pragmatic
1622 
1623   test:
1624     suffix: tri_p1_adapt_seq_mmg
1625     requires: mmg
1626     args: -run_type exact -dm_refine 5 -bc_type dirichlet -petscspace_degree 1 -variable_coefficient ball -snes_converged_reason ::ascii_info_detail -pc_type lu -snes_adapt_sequence 2 -adaptor_target_num 4000 -dm_plex_metric_h_max 0.5 -dm_adaptor mmg
1627 
1628   test:
1629     suffix: tri_p2_adapt_seq_mmg
1630     requires: mmg
1631     args: -run_type exact -dm_refine 5 -bc_type dirichlet -petscspace_degree 2 -variable_coefficient ball -snes_converged_reason ::ascii_info_detail -pc_type lu -snes_adapt_sequence 2 -adaptor_target_num 4000 -dm_plex_metric_h_max 0.5 -dm_adaptor mmg
1632 
1633   test:
1634     suffix: tri_p1_adapt_analytic_pragmatic
1635     requires: pragmatic
1636     args: -run_type exact -dm_refine 3 -bc_type dirichlet -petscspace_degree 1 -variable_coefficient cross -snes_adapt_initial 4 -adaptor_target_num 500 -adaptor_monitor -dm_plex_metric_h_min 0.0001 -dm_plex_metric_h_max 0.05 -dm_adaptor pragmatic
1637 
1638   test:
1639     suffix: tri_p2_adapt_analytic_pragmatic
1640     requires: pragmatic
1641     args: -run_type exact -dm_refine 3 -bc_type dirichlet -petscspace_degree 2 -variable_coefficient cross -snes_adapt_initial 4 -adaptor_target_num 500 -adaptor_monitor -dm_plex_metric_h_min 0.0001 -dm_plex_metric_h_max 0.05 -dm_adaptor pragmatic
1642 
1643   test:
1644     suffix: tri_p1_adapt_analytic_mmg
1645     requires: mmg
1646     args: -run_type exact -dm_refine 3 -bc_type dirichlet -petscspace_degree 1 -variable_coefficient cross -snes_adapt_initial 4 -adaptor_target_num 500 -adaptor_monitor -dm_plex_metric_h_max 0.5 -dm_adaptor mmg
1647 
1648   test:
1649     suffix: tri_p2_adapt_analytic_mmg
1650     requires: mmg
1651     args: -run_type exact -dm_refine 3 -bc_type dirichlet -petscspace_degree 2 -variable_coefficient cross -snes_adapt_initial 4 -adaptor_target_num 500 -adaptor_monitor -dm_plex_metric_h_max 0.5 -dm_adaptor mmg
1652 
1653   test:
1654     suffix: tri_p1_adapt_uniform_pragmatic
1655     requires: pragmatic tetgen
1656     nsize: 2
1657     args: -run_type full -dm_plex_box_faces 8,8,8 -bc_type dirichlet -petscspace_degree 1 -variable_coefficient none -snes_converged_reason ::ascii_info_detail -ksp_type cg -pc_type sor -snes_adapt_sequence 3 -adaptor_target_num 400 -dm_plex_metric_h_max 0.5 -dm_plex_dim 3 -dm_adaptor pragmatic
1658     timeoutfactor: 2
1659 
1660   test:
1661     suffix: tri_p2_adapt_uniform_pragmatic
1662     requires: pragmatic tetgen
1663     nsize: 2
1664     args: -run_type full -dm_plex_box_faces 8,8,8 -bc_type dirichlet -petscspace_degree 2 -variable_coefficient none -snes_converged_reason ::ascii_info_detail -ksp_type cg -pc_type sor -snes_adapt_sequence 1 -adaptor_target_num 400 -dm_plex_metric_h_max 0.5 -dm_plex_dim 3 -dm_adaptor pragmatic
1665     timeoutfactor: 1
1666 
1667   test:
1668     suffix: tri_p1_adapt_uniform_mmg
1669     requires: mmg tetgen
1670     args: -run_type full -dm_plex_box_faces 4,4,4 -bc_type dirichlet -petscspace_degree 1 -variable_coefficient none -snes_converged_reason ::ascii_info_detail -ksp_type cg -pc_type sor -snes_adapt_sequence 3 -adaptor_target_num 400 -dm_plex_metric_h_max 0.5 -dm_plex_dim 3 -dm_adaptor mmg
1671     timeoutfactor: 2
1672 
1673   test:
1674     suffix: tri_p2_adapt_uniform_mmg
1675     requires: mmg tetgen
1676     args: -run_type full -dm_plex_box_faces 4,4,4 -bc_type dirichlet -petscspace_degree 2 -variable_coefficient none -snes_converged_reason ::ascii_info_detail -ksp_type cg -pc_type sor -snes_adapt_sequence 1 -adaptor_target_num 400 -dm_plex_metric_h_max 0.5 -dm_plex_dim 3 -dm_adaptor mmg
1677     timeoutfactor: 1
1678 
1679   test:
1680     suffix: tri_p1_adapt_uniform_parmmg
1681     requires: parmmg tetgen
1682     nsize: 2
1683     args: -run_type full -dm_plex_box_faces 8,8,8 -bc_type dirichlet -petscspace_degree 1 -variable_coefficient none -snes_converged_reason ::ascii_info_detail -ksp_type cg -pc_type sor -snes_adapt_sequence 3 -adaptor_target_num 400 -dm_plex_metric_h_max 0.5 -dm_plex_dim 3 -dm_adaptor parmmg
1684     timeoutfactor: 2
1685 
1686   test:
1687     suffix: tri_p2_adapt_uniform_parmmg
1688     requires: parmmg tetgen
1689     nsize: 2
1690     args: -run_type full -dm_plex_box_faces 8,8,8 -bc_type dirichlet -petscspace_degree 2 -variable_coefficient none -snes_converged_reason ::ascii_info_detail -ksp_type cg -pc_type sor -snes_adapt_sequence 1 -adaptor_target_num 400 -dm_plex_metric_h_max 0.5 -dm_plex_dim 3 -dm_adaptor parmmg
1691     timeoutfactor: 1
1692 
1693   # Full solve tensor AMR
1694   test:
1695     suffix: quad_q1_adapt_0
1696     requires: p4est
1697     args: -run_type exact -dm_plex_simplex 0 -dm_plex_convert_type p4est -bc_type dirichlet -petscspace_degree 1 -variable_coefficient ball -snes_converged_reason ::ascii_info_detail -pc_type lu -dm_forest_initial_refinement 4 -snes_adapt_initial 1 -dm_view
1698     filter: grep -v DM_
1699 
1700   test:
1701     suffix: amr_0
1702     nsize: 5
1703     args: -run_type test -petscpartitioner_type simple -dm_plex_simplex 0 -bc_type dirichlet -petscspace_degree 1 -dm_refine 1
1704 
1705   test:
1706     suffix: amr_1
1707     requires: p4est !complex
1708     args: -run_type test -dm_plex_simplex 0 -bc_type dirichlet -petscspace_degree 1 -dm_plex_convert_type p4est -dm_p4est_refine_pattern center -dm_forest_maximum_refinement 5 -dm_view vtk:amr.vtu:vtk_vtu -vec_view vtk:amr.vtu:vtk_vtu:append
1709 
1710   test:
1711     suffix: p4est_solve_bddc
1712     requires: p4est !complex
1713     args: -run_type full -variable_coefficient nonlinear -nonzero_initial_guess 1 -petscspace_degree 2 -snes_max_it 20 -snes_type newtonls -dm_mat_type is -pc_type bddc -ksp_type cg -snes_monitor_short -ksp_monitor -snes_linesearch_type bt -snes_converged_reason -snes_view -dm_plex_simplex 0 -petscspace_poly_tensor -dm_plex_convert_type p4est -dm_forest_minimum_refinement 0 -dm_forest_initial_refinement 2 -dm_forest_maximum_refinement 4 -dm_p4est_refine_pattern hash -petscpartitioner_type simple -pc_bddc_detect_disconnected
1714     nsize: 4
1715 
1716   test:
1717     suffix: p4est_solve_fas
1718     requires: p4est
1719     args: -run_type full -variable_coefficient nonlinear -nonzero_initial_guess 1 -petscspace_degree 2 -snes_max_it 10 -snes_type fas -snes_linesearch_type bt -snes_fas_levels 3 -fas_coarse_snes_type newtonls -fas_coarse_snes_linesearch_type basic -fas_coarse_ksp_type cg -fas_coarse_pc_type jacobi -fas_coarse_snes_monitor_short -fas_levels_snes_max_it 4 -fas_levels_snes_type newtonls -fas_levels_snes_linesearch_type bt -fas_levels_ksp_type cg -fas_levels_pc_type jacobi -fas_levels_snes_monitor_short -fas_levels_cycle_snes_linesearch_type bt -snes_monitor_short -snes_converged_reason -snes_view -dm_plex_simplex 0 -petscspace_poly_tensor -dm_plex_convert_type p4est -dm_forest_minimum_refinement 0 -dm_forest_initial_refinement 2 -dm_forest_maximum_refinement 4 -dm_p4est_refine_pattern hash
1720     nsize: 4
1721     TODO: identical machine two runs produce slightly different solver trackers
1722 
1723   test:
1724     suffix: p4est_convergence_test_1
1725     requires: p4est
1726     args:  -quiet -run_type test -petscspace_degree 1 -dm_plex_simplex 0 -petscspace_poly_tensor -dm_plex_convert_type p4est -dm_forest_minimum_refinement 2 -dm_forest_initial_refinement 2 -dm_forest_maximum_refinement 4 -dm_p4est_refine_pattern hash
1727     nsize: 4
1728 
1729   test:
1730     suffix: p4est_convergence_test_2
1731     requires: p4est
1732     args: -quiet -run_type test -petscspace_degree 1 -dm_plex_simplex 0 -petscspace_poly_tensor -dm_plex_convert_type p4est -dm_forest_minimum_refinement 3 -dm_forest_initial_refinement 3 -dm_forest_maximum_refinement 5 -dm_p4est_refine_pattern hash
1733 
1734   test:
1735     suffix: p4est_convergence_test_3
1736     requires: p4est
1737     args: -quiet -run_type test -petscspace_degree 1 -dm_plex_simplex 0 -petscspace_poly_tensor -dm_plex_convert_type p4est -dm_forest_minimum_refinement 4 -dm_forest_initial_refinement 4 -dm_forest_maximum_refinement 6 -dm_p4est_refine_pattern hash
1738 
1739   test:
1740     suffix: p4est_convergence_test_4
1741     requires: p4est
1742     args: -quiet -run_type test -petscspace_degree 1 -dm_plex_simplex 0 -petscspace_poly_tensor -dm_plex_convert_type p4est -dm_forest_minimum_refinement 5 -dm_forest_initial_refinement 5 -dm_forest_maximum_refinement 7 -dm_p4est_refine_pattern hash
1743     timeoutfactor: 5
1744 
1745   # Serial tests with GLVis visualization
1746   test:
1747     suffix: glvis_2d_tet_p1
1748     args: -quiet -run_type test -bc_type dirichlet -petscspace_degree 1 -vec_view glvis: -dm_plex_filename ${wPETSC_DIR}/share/petsc/datafiles/meshes/square_periodic.msh -dm_plex_boundary_label marker -dm_plex_gmsh_periodic 0 -dm_coord_space 0
1749   test:
1750     suffix: glvis_2d_tet_p2
1751     args: -quiet -run_type test -bc_type dirichlet -petscspace_degree 2 -vec_view glvis: -dm_plex_filename ${wPETSC_DIR}/share/petsc/datafiles/meshes/square_periodic.msh -dm_plex_boundary_label marker -dm_plex_gmsh_periodic 0 -dm_coord_space 0
1752   test:
1753     suffix: glvis_2d_hex_p1
1754     args: -quiet -run_type test -bc_type dirichlet -petscspace_degree 1 -vec_view glvis: -dm_plex_simplex 0 -dm_refine 1 -dm_coord_space 0
1755   test:
1756     suffix: glvis_2d_hex_p2
1757     args: -quiet -run_type test -bc_type dirichlet -petscspace_degree 2 -vec_view glvis: -dm_plex_simplex 0 -dm_refine 1 -dm_coord_space 0
1758   test:
1759     suffix: glvis_2d_hex_p2_p4est
1760     requires: p4est
1761     args: -quiet -run_type test -bc_type dirichlet -petscspace_degree 2 -vec_view glvis: -dm_plex_simplex 0 -dm_plex_convert_type p4est -dm_forest_minimum_refinement 0 -dm_forest_initial_refinement 1 -dm_forest_maximum_refinement 4 -dm_p4est_refine_pattern hash -viewer_glvis_dm_plex_enable_ncmesh
1762   test:
1763     suffix: glvis_2d_tet_p0
1764     args: -run_type exact -guess_vec_view glvis: -nonzero_initial_guess 1 -dm_plex_filename ${wPETSC_DIR}/share/petsc/datafiles/meshes/square_periodic.msh -dm_plex_boundary_label marker -petscspace_degree 0 -dm_coord_space 0
1765   test:
1766     suffix: glvis_2d_hex_p0
1767     args: -run_type exact -guess_vec_view glvis: -nonzero_initial_guess 1 -dm_plex_box_faces 5,7 -dm_plex_simplex 0 -petscspace_degree 0 -dm_coord_space 0
1768 
1769   # PCHPDDM tests
1770   testset:
1771     nsize: 4
1772     requires: hpddm slepc !single defined(PETSC_HAVE_DYNAMIC_LIBRARIES) defined(PETSC_USE_SHARED_LIBRARIES)
1773     args: -run_type test -run_test_check_ksp -quiet -petscspace_degree 1 -petscpartitioner_type simple -bc_type none -dm_plex_simplex 0 -pc_type hpddm -pc_hpddm_levels_1_sub_pc_type lu -pc_hpddm_levels_1_eps_nev 2 -pc_hpddm_coarse_p 1 -pc_hpddm_coarse_pc_type svd -ksp_rtol 1.e-10 -pc_hpddm_levels_1_st_pc_factor_shift_type INBLOCKS -ksp_converged_reason
1774     test:
1775       suffix: quad_singular_hpddm
1776       args: -dm_plex_box_faces 6,7
1777     test:
1778       requires: p4est
1779       suffix: p4est_singular_2d_hpddm
1780       args: -dm_plex_convert_type p4est -dm_forest_minimum_refinement 1 -dm_forest_initial_refinement 3 -dm_forest_maximum_refinement 3
1781     test:
1782       requires: p4est
1783       suffix: p4est_nc_singular_2d_hpddm
1784       args: -dm_plex_convert_type p4est -dm_forest_minimum_refinement 1 -dm_forest_initial_refinement 1 -dm_forest_maximum_refinement 3 -dm_p4est_refine_pattern hash
1785   testset:
1786     nsize: 4
1787     requires: hpddm slepc triangle !single defined(PETSC_HAVE_DYNAMIC_LIBRARIES) defined(PETSC_USE_SHARED_LIBRARIES)
1788     args: -run_type full -petscpartitioner_type simple -dm_refine 2 -bc_type dirichlet -petscspace_degree 2 -ksp_type gmres -ksp_gmres_restart 100 -pc_type hpddm -snes_monitor_short -ksp_monitor_short -snes_converged_reason ::ascii_info_detail -ksp_converged_reason -snes_view -show_solution 0 -pc_type hpddm -pc_hpddm_levels_1_sub_pc_type lu -pc_hpddm_levels_1_eps_nev 4 -pc_hpddm_coarse_p 2 -pc_hpddm_coarse_pc_type redundant -ksp_rtol 1.e-1
1789     test:
1790       args: -pc_hpddm_coarse_mat_type baij -options_left no
1791       suffix: tri_hpddm_reuse_baij
1792     test:
1793       requires: !complex
1794       suffix: tri_hpddm_reuse
1795   testset:
1796     nsize: 4
1797     requires: hpddm slepc !single defined(PETSC_HAVE_DYNAMIC_LIBRARIES) defined(PETSC_USE_SHARED_LIBRARIES)
1798     args: -run_type full -petscpartitioner_type simple -dm_plex_box_faces 7,5 -dm_refine 2 -dm_plex_simplex 0 -bc_type dirichlet -petscspace_degree 2 -ksp_type gmres -ksp_gmres_restart 100 -pc_type hpddm -snes_monitor_short -ksp_monitor_short -snes_converged_reason ::ascii_info_detail -ksp_converged_reason -snes_view -show_solution 0 -pc_type hpddm -pc_hpddm_levels_1_sub_pc_type lu -pc_hpddm_levels_1_eps_nev 4 -pc_hpddm_coarse_p 2 -pc_hpddm_coarse_pc_type redundant -ksp_rtol 1.e-1
1799     test:
1800       args: -pc_hpddm_coarse_mat_type baij -options_left no
1801       suffix: quad_hpddm_reuse_baij
1802     test:
1803       requires: !complex
1804       suffix: quad_hpddm_reuse
1805   testset:
1806     nsize: 4
1807     requires: hpddm slepc !single defined(PETSC_HAVE_DYNAMIC_LIBRARIES) defined(PETSC_USE_SHARED_LIBRARIES)
1808     args: -run_type full -petscpartitioner_type simple -dm_plex_box_faces 7,5 -dm_refine 2 -dm_plex_simplex 0 -bc_type dirichlet -petscspace_degree 1 -ksp_type gmres -ksp_gmres_restart 100 -pc_type hpddm -snes_monitor_short -ksp_monitor_short -snes_converged_reason ::ascii_info_detail -ksp_converged_reason -snes_view -show_solution 0 -pc_type hpddm -pc_hpddm_levels_1_sub_pc_type lu -pc_hpddm_levels_1_eps_threshold 0.1 -pc_hpddm_coarse_p 2 -pc_hpddm_coarse_pc_type redundant -ksp_rtol 1.e-1
1809     test:
1810       args: -pc_hpddm_coarse_mat_type baij -options_left no
1811       suffix: quad_hpddm_reuse_threshold_baij
1812     test:
1813       requires: !complex
1814       suffix: quad_hpddm_reuse_threshold
1815   testset:
1816     nsize: 4
1817     requires: hpddm slepc parmetis !single defined(PETSC_HAVE_DYNAMIC_LIBRARIES) defined(PETSC_USE_SHARED_LIBRARIES)
1818     filter: sed -e "s/linear solver iterations=17/linear solver iterations=16/g"
1819     args: -run_type full -petscpartitioner_type parmetis -dm_refine 3 -bc_type dirichlet -petscspace_degree 1 -ksp_type gmres -ksp_gmres_restart 100 -pc_type hpddm -snes_monitor_short -snes_converged_reason ::ascii_info_detail -snes_view -show_solution 0 -pc_type hpddm -pc_hpddm_levels_1_sub_pc_type icc -pc_hpddm_levels_1_eps_nev 20 -pc_hpddm_coarse_p 2 -pc_hpddm_coarse_pc_type redundant -ksp_rtol 1.e-10 -dm_plex_filename ${PETSC_DIR}/share/petsc/datafiles/meshes/square_periodic.msh -dm_plex_boundary_label marker -pc_hpddm_levels_1_sub_pc_factor_levels 3 -variable_coefficient ball -dm_plex_gmsh_periodic 0
1820     test:
1821       args: -pc_hpddm_coarse_mat_type baij -options_left no
1822       filter: grep -v "      total: nonzeros=" | grep -v "      rows=" | sed -e "s/total number of linear solver iterations=1[5-7]/total number of linear solver iterations=16/g"
1823       suffix: tri_parmetis_hpddm_baij
1824     test:
1825       filter: grep -v "      total: nonzeros=" | grep -v "      rows=" | sed -e "s/total number of linear solver iterations=1[5-7]/total number of linear solver iterations=16/g"
1826       requires: !complex
1827       suffix: tri_parmetis_hpddm
1828 
1829   # 2D serial P1 tests for adaptive MG
1830   test:
1831     suffix: 2d_p1_adaptmg_0
1832     requires: triangle bamg
1833     args: -dm_refine_hierarchy 3 -dm_plex_box_faces 4,4 -bc_type dirichlet -petscspace_degree 1 \
1834           -variable_coefficient checkerboard_0 -mat_petscspace_degree 0 -div 16 -k 3 \
1835           -snes_max_it 1 -ksp_converged_reason \
1836           -ksp_rtol 1e-8 -pc_type mg
1837   # -ksp_monitor_true_residual -ksp_converged_reason -mg_levels_ksp_monitor_true_residual -pc_mg_mesp_monitor -dm_adapt_interp_view_fine draw -dm_adapt_interp_view_coarse draw -draw_pause 1
1838   test:
1839     suffix: 2d_p1_adaptmg_1
1840     requires: triangle bamg
1841     args: -dm_refine_hierarchy 3 -dm_plex_box_faces 4,4 -bc_type dirichlet -petscspace_degree 1 \
1842           -variable_coefficient checkerboard_0 -mat_petscspace_degree 0 -div 16 -k 3 \
1843           -snes_max_it 1 -ksp_converged_reason \
1844           -ksp_rtol 1e-8 -pc_type mg -pc_mg_galerkin -pc_mg_adapt_interp -pc_mg_adapt_interp_coarse_space eigenvector -pc_mg_adapt_interp_n 1 \
1845             -pc_mg_mesp_ksp_type richardson -pc_mg_mesp_ksp_richardson_self_scale -pc_mg_mesp_ksp_max_it 100 -pc_mg_mesp_pc_type none
1846 
1847 TEST*/
1848