xref: /petsc/src/snes/tutorials/ex12.c (revision ebead697dbf761eb322f829370bbe90b3bd93fa3)
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 
463   PetscFunctionBeginUser;
464   options->runType             = RUN_FULL;
465   options->bcType              = DIRICHLET;
466   options->variableCoefficient = COEFF_NONE;
467   options->fieldBC             = PETSC_FALSE;
468   options->jacobianMF          = PETSC_FALSE;
469   options->showInitial         = PETSC_FALSE;
470   options->showSolution        = PETSC_FALSE;
471   options->restart             = PETSC_FALSE;
472   options->quiet               = PETSC_FALSE;
473   options->nonzInit            = PETSC_FALSE;
474   options->bdIntegral          = PETSC_FALSE;
475   options->checkksp            = PETSC_FALSE;
476   options->div                 = 4;
477   options->k                   = 1;
478   options->kgrid               = NULL;
479   options->rand                = PETSC_FALSE;
480 
481   PetscOptionsBegin(comm, "", "Poisson Problem Options", "DMPLEX");
482   run  = options->runType;
483   PetscCall(PetscOptionsEList("-run_type", "The run type", "ex12.c", runTypes, 4, runTypes[options->runType], &run, NULL));
484   options->runType = (RunType) run;
485   bc   = options->bcType;
486   PetscCall(PetscOptionsEList("-bc_type","Type of boundary condition","ex12.c",bcTypes,3,bcTypes[options->bcType],&bc,NULL));
487   options->bcType = (BCType) bc;
488   coeff = options->variableCoefficient;
489   PetscCall(PetscOptionsEList("-variable_coefficient","Type of variable coefficent","ex12.c",coeffTypes,8,coeffTypes[options->variableCoefficient],&coeff,NULL));
490   options->variableCoefficient = (CoeffType) coeff;
491 
492   PetscCall(PetscOptionsBool("-field_bc", "Use a field representation for the BC", "ex12.c", options->fieldBC, &options->fieldBC, NULL));
493   PetscCall(PetscOptionsBool("-jacobian_mf", "Calculate the action of the Jacobian on the fly", "ex12.c", options->jacobianMF, &options->jacobianMF, NULL));
494   PetscCall(PetscOptionsBool("-show_initial", "Output the initial guess for verification", "ex12.c", options->showInitial, &options->showInitial, NULL));
495   PetscCall(PetscOptionsBool("-show_solution", "Output the solution for verification", "ex12.c", options->showSolution, &options->showSolution, NULL));
496   PetscCall(PetscOptionsBool("-restart", "Read in the mesh and solution from a file", "ex12.c", options->restart, &options->restart, NULL));
497   PetscCall(PetscOptionsBool("-quiet", "Don't print any vecs", "ex12.c", options->quiet, &options->quiet, NULL));
498   PetscCall(PetscOptionsBool("-nonzero_initial_guess", "nonzero initial guess", "ex12.c", options->nonzInit, &options->nonzInit, NULL));
499   PetscCall(PetscOptionsBool("-bd_integral", "Compute the integral of the solution on the boundary", "ex12.c", options->bdIntegral, &options->bdIntegral, NULL));
500   if (options->runType == RUN_TEST) {
501     PetscCall(PetscOptionsBool("-run_test_check_ksp", "Check solution of KSP", "ex12.c", options->checkksp, &options->checkksp, NULL));
502   }
503   PetscCall(PetscOptionsInt("-div", "The number of division for the checkerboard coefficient", "ex12.c", options->div, &options->div, NULL));
504   PetscCall(PetscOptionsInt("-k", "The exponent for the checkerboard coefficient", "ex12.c", options->k, &options->k, NULL));
505   PetscCall(PetscOptionsBool("-k_random", "Assign random k values to checkerboard", "ex12.c", options->rand, &options->rand, NULL));
506   PetscOptionsEnd();
507   PetscFunctionReturn(0);
508 }
509 
510 static PetscErrorCode CreateBCLabel(DM dm, const char name[])
511 {
512   DM             plex;
513   DMLabel        label;
514 
515   PetscFunctionBeginUser;
516   PetscCall(DMCreateLabel(dm, name));
517   PetscCall(DMGetLabel(dm, name, &label));
518   PetscCall(DMConvert(dm, DMPLEX, &plex));
519   PetscCall(DMPlexMarkBoundaryFaces(plex, 1, label));
520   PetscCall(DMDestroy(&plex));
521   PetscFunctionReturn(0);
522 }
523 
524 static PetscErrorCode CreateMesh(MPI_Comm comm, AppCtx *user, DM *dm)
525 {
526   PetscFunctionBeginUser;
527   PetscCall(DMCreate(comm, dm));
528   PetscCall(DMSetType(*dm, DMPLEX));
529   PetscCall(DMSetFromOptions(*dm));
530   {
531     char      convType[256];
532     PetscBool flg;
533 
534     PetscOptionsBegin(comm, "", "Mesh conversion options", "DMPLEX");
535     PetscCall(PetscOptionsFList("-dm_plex_convert_type","Convert DMPlex to another format","ex12",DMList,DMPLEX,convType,256,&flg));
536     PetscOptionsEnd();
537     if (flg) {
538       DM dmConv;
539 
540       PetscCall(DMConvert(*dm,convType,&dmConv));
541       if (dmConv) {
542         PetscCall(DMDestroy(dm));
543         *dm  = dmConv;
544       }
545       PetscCall(DMSetFromOptions(*dm));
546       PetscCall(DMSetUp(*dm));
547     }
548   }
549   PetscCall(DMViewFromOptions(*dm, NULL, "-dm_view"));
550   if (user->rand) {
551     PetscRandom r;
552     PetscReal   val;
553     PetscInt    dim, N, i;
554 
555     PetscCall(DMGetDimension(*dm, &dim));
556     N    = PetscPowInt(user->div, dim);
557     PetscCall(PetscMalloc1(N, &user->kgrid));
558     PetscCall(PetscRandomCreate(PETSC_COMM_SELF, &r));
559     PetscCall(PetscRandomSetFromOptions(r));
560     PetscCall(PetscRandomSetInterval(r, 0.0, user->k));
561     PetscCall(PetscRandomSetSeed(r, 1973));
562     PetscCall(PetscRandomSeed(r));
563     for (i = 0; i < N; ++i) {
564       PetscCall(PetscRandomGetValueReal(r, &val));
565       user->kgrid[i] = 1 + (PetscInt) val;
566     }
567     PetscCall(PetscRandomDestroy(&r));
568   }
569   PetscFunctionReturn(0);
570 }
571 
572 static PetscErrorCode SetupProblem(DM dm, AppCtx *user)
573 {
574   PetscDS          ds;
575   DMLabel          label;
576   PetscWeakForm    wf;
577   const PetscReal *L;
578   const PetscInt   id = 1;
579   PetscInt         bd, dim;
580 
581   PetscFunctionBeginUser;
582   PetscCall(DMGetDS(dm, &ds));
583   PetscCall(DMGetDimension(dm, &dim));
584   PetscCall(DMGetPeriodicity(dm, NULL, NULL, &L));
585   switch (user->variableCoefficient) {
586   case COEFF_NONE:
587     if (L && L[0]) {
588       if (L && L[1]) {
589         PetscCall(PetscDSSetResidual(ds, 0, f0_xytrig_u, f1_u));
590         PetscCall(PetscDSSetJacobian(ds, 0, 0, NULL, NULL, NULL, g3_uu));
591       } else {
592         PetscCall(PetscDSSetResidual(ds, 0, f0_xtrig_u,  f1_u));
593         PetscCall(PetscDSSetJacobian(ds, 0, 0, NULL, NULL, NULL, g3_uu));
594       }
595     } else {
596       PetscCall(PetscDSSetResidual(ds, 0, f0_u, f1_u));
597       PetscCall(PetscDSSetJacobian(ds, 0, 0, NULL, NULL, NULL, g3_uu));
598     }
599     break;
600   case COEFF_ANALYTIC:
601     PetscCall(PetscDSSetResidual(ds, 0, f0_analytic_u, f1_analytic_u));
602     PetscCall(PetscDSSetJacobian(ds, 0, 0, NULL, NULL, NULL, g3_analytic_uu));
603     break;
604   case COEFF_FIELD:
605     PetscCall(PetscDSSetResidual(ds, 0, f0_analytic_u, f1_field_u));
606     PetscCall(PetscDSSetJacobian(ds, 0, 0, NULL, NULL, NULL, g3_field_uu));
607     break;
608   case COEFF_NONLINEAR:
609     PetscCall(PetscDSSetResidual(ds, 0, f0_analytic_nonlinear_u, f1_analytic_nonlinear_u));
610     PetscCall(PetscDSSetJacobian(ds, 0, 0, NULL, NULL, NULL, g3_analytic_nonlinear_uu));
611     break;
612   case COEFF_BALL:
613     PetscCall(PetscDSSetResidual(ds, 0, f0_ball_u, f1_u));
614     PetscCall(PetscDSSetJacobian(ds, 0, 0, NULL, NULL, NULL, g3_uu));
615     break;
616   case COEFF_CROSS:
617     switch (dim) {
618     case 2:
619       PetscCall(PetscDSSetResidual(ds, 0, f0_cross_u_2d, f1_u));
620       break;
621     case 3:
622       PetscCall(PetscDSSetResidual(ds, 0, f0_cross_u_3d, f1_u));
623       break;
624     default:
625       SETERRQ(PETSC_COMM_WORLD, PETSC_ERR_ARG_OUTOFRANGE, "Invalid dimension %" PetscInt_FMT, dim);
626     }
627     PetscCall(PetscDSSetJacobian(ds, 0, 0, NULL, NULL, NULL, g3_uu));
628     break;
629   case COEFF_CHECKERBOARD_0:
630     PetscCall(PetscDSSetResidual(ds, 0, f0_checkerboard_0_u, f1_field_u));
631     PetscCall(PetscDSSetJacobian(ds, 0, 0, NULL, NULL, NULL, g3_field_uu));
632     break;
633   default: SETERRQ(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Invalid variable coefficient type %d", user->variableCoefficient);
634   }
635   switch (dim) {
636   case 2:
637     switch (user->variableCoefficient) {
638     case COEFF_BALL:
639       user->exactFuncs[0]  = ball_u_2d;break;
640     case COEFF_CROSS:
641       user->exactFuncs[0]  = cross_u_2d;break;
642     case COEFF_CHECKERBOARD_0:
643       user->exactFuncs[0]  = zero;break;
644     default:
645       if (L && L[0]) {
646         if (L && L[1]) {
647           user->exactFuncs[0] = xytrig_u_2d;
648         } else {
649           user->exactFuncs[0] = xtrig_u_2d;
650         }
651       } else {
652         user->exactFuncs[0]  = quadratic_u_2d;
653         user->exactFields[0] = quadratic_u_field_2d;
654       }
655     }
656     if (user->bcType == NEUMANN) {
657       PetscCall(DMGetLabel(dm, "boundary", &label));
658       PetscCall(DMAddBoundary(dm, DM_BC_NATURAL, "wall", label, 1, &id, 0, 0, NULL, NULL, NULL, user, &bd));
659       PetscCall(PetscDSGetBoundary(ds, bd, &wf, NULL, NULL, NULL, NULL, NULL, NULL, NULL, NULL, NULL, NULL, NULL));
660       PetscCall(PetscWeakFormSetIndexBdResidual(wf, label, id, 0, 0, 0, f0_bd_u, 0, NULL));
661     }
662     break;
663   case 3:
664     switch (user->variableCoefficient) {
665     case COEFF_BALL:
666       user->exactFuncs[0]  = ball_u_3d;break;
667     case COEFF_CROSS:
668       user->exactFuncs[0]  = cross_u_3d;break;
669     default:
670       user->exactFuncs[0]  = quadratic_u_3d;
671       user->exactFields[0] = quadratic_u_field_3d;
672     }
673     if (user->bcType == NEUMANN) {
674       PetscCall(DMGetLabel(dm, "boundary", &label));
675       PetscCall(DMAddBoundary(dm, DM_BC_NATURAL, "wall", label, 1, &id, 0, 0, NULL, NULL, NULL, user, &bd));
676       PetscCall(PetscDSGetBoundary(ds, bd, &wf, NULL, NULL, NULL, NULL, NULL, NULL, NULL, NULL, NULL, NULL, NULL));
677       PetscCall(PetscWeakFormSetIndexBdResidual(wf, label, id, 0, 0, 0, f0_bd_u, 0, NULL));
678     }
679     break;
680   default:
681     SETERRQ(PETSC_COMM_WORLD, PETSC_ERR_ARG_OUTOFRANGE, "Invalid dimension %" PetscInt_FMT, dim);
682   }
683   /* Setup constants */
684   switch (user->variableCoefficient) {
685   case COEFF_CHECKERBOARD_0:
686   {
687     PetscScalar constants[2];
688 
689     constants[0] = user->div;
690     constants[1] = user->k;
691     PetscCall(PetscDSSetConstants(ds, 2, constants));
692   }
693   break;
694   default: break;
695   }
696   PetscCall(PetscDSSetExactSolution(ds, 0, user->exactFuncs[0], user));
697   /* Setup Boundary Conditions */
698   if (user->bcType == DIRICHLET) {
699     PetscCall(DMGetLabel(dm, "marker", &label));
700     if (!label) {
701       /* Right now, p4est cannot create labels immediately */
702       PetscCall(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));
703     } else {
704       PetscCall(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));
705     }
706   }
707   PetscFunctionReturn(0);
708 }
709 
710 static PetscErrorCode SetupMaterial(DM dm, DM dmAux, AppCtx *user)
711 {
712   PetscErrorCode (*matFuncs[1])(PetscInt dim, PetscReal time, const PetscReal x[], PetscInt Nc, PetscScalar u[], void *ctx) = {nu_2d};
713   void            *ctx[1];
714   Vec              nu;
715 
716   PetscFunctionBegin;
717   ctx[0] = user;
718   if (user->variableCoefficient == COEFF_CHECKERBOARD_0) {matFuncs[0] = checkerboardCoeff;}
719   PetscCall(DMCreateLocalVector(dmAux, &nu));
720   PetscCall(PetscObjectSetName((PetscObject) nu, "Coefficient"));
721   PetscCall(DMProjectFunctionLocal(dmAux, 0.0, matFuncs, ctx, INSERT_ALL_VALUES, nu));
722   PetscCall(DMSetAuxiliaryVec(dm, NULL, 0, 0, nu));
723   PetscCall(VecDestroy(&nu));
724   PetscFunctionReturn(0);
725 }
726 
727 static PetscErrorCode SetupBC(DM dm, DM dmAux, AppCtx *user)
728 {
729   PetscErrorCode (*bcFuncs[1])(PetscInt dim, PetscReal time, const PetscReal x[], PetscInt Nc, PetscScalar u[], void *ctx);
730   Vec            uexact;
731   PetscInt       dim;
732 
733   PetscFunctionBegin;
734   PetscCall(DMGetDimension(dm, &dim));
735   if (dim == 2) bcFuncs[0] = quadratic_u_2d;
736   else          bcFuncs[0] = quadratic_u_3d;
737   PetscCall(DMCreateLocalVector(dmAux, &uexact));
738   PetscCall(DMProjectFunctionLocal(dmAux, 0.0, bcFuncs, NULL, INSERT_ALL_VALUES, uexact));
739   PetscCall(DMSetAuxiliaryVec(dm, NULL, 0, 0, uexact));
740   PetscCall(VecDestroy(&uexact));
741   PetscFunctionReturn(0);
742 }
743 
744 static PetscErrorCode SetupAuxDM(DM dm, PetscFE feAux, AppCtx *user)
745 {
746   DM             dmAux, coordDM;
747 
748   PetscFunctionBegin;
749   /* MUST call DMGetCoordinateDM() in order to get p4est setup if present */
750   PetscCall(DMGetCoordinateDM(dm, &coordDM));
751   if (!feAux) PetscFunctionReturn(0);
752   PetscCall(DMClone(dm, &dmAux));
753   PetscCall(DMSetCoordinateDM(dmAux, coordDM));
754   PetscCall(DMSetField(dmAux, 0, NULL, (PetscObject) feAux));
755   PetscCall(DMCreateDS(dmAux));
756   if (user->fieldBC) PetscCall(SetupBC(dm, dmAux, user));
757   else               PetscCall(SetupMaterial(dm, dmAux, user));
758   PetscCall(DMDestroy(&dmAux));
759   PetscFunctionReturn(0);
760 }
761 
762 static PetscErrorCode SetupDiscretization(DM dm, AppCtx *user)
763 {
764   DM             plex, cdm = dm;
765   PetscFE        fe, feAux = NULL;
766   PetscBool      simplex;
767   PetscInt       dim;
768   MPI_Comm       comm;
769 
770   PetscFunctionBeginUser;
771   PetscCall(DMGetDimension(dm, &dim));
772   PetscCall(DMConvert(dm, DMPLEX, &plex));
773   PetscCall(DMPlexIsSimplex(plex, &simplex));
774   PetscCall(DMDestroy(&plex));
775   PetscCall(PetscObjectGetComm((PetscObject) dm, &comm));
776   PetscCall(PetscFECreateDefault(PETSC_COMM_SELF, dim, 1, simplex, NULL, -1, &fe));
777   PetscCall(PetscObjectSetName((PetscObject) fe, "potential"));
778   if (user->variableCoefficient == COEFF_FIELD || user->variableCoefficient == COEFF_CHECKERBOARD_0) {
779     PetscCall(PetscFECreateDefault(PETSC_COMM_SELF, dim, 1, simplex, "mat_", -1, &feAux));
780     PetscCall(PetscObjectSetName((PetscObject) feAux, "coefficient"));
781     PetscCall(PetscFECopyQuadrature(fe, feAux));
782   } else if (user->fieldBC) {
783     PetscCall(PetscFECreateDefault(PETSC_COMM_SELF, dim, 1, simplex, "bc_", -1, &feAux));
784     PetscCall(PetscFECopyQuadrature(fe, feAux));
785   }
786   /* Set discretization and boundary conditions for each mesh */
787   PetscCall(DMSetField(dm, 0, NULL, (PetscObject) fe));
788   PetscCall(DMCreateDS(dm));
789   PetscCall(SetupProblem(dm, user));
790   while (cdm) {
791     PetscCall(SetupAuxDM(cdm, feAux, user));
792     if (user->bcType == DIRICHLET) {
793       PetscBool hasLabel;
794 
795       PetscCall(DMHasLabel(cdm, "marker", &hasLabel));
796       if (!hasLabel) PetscCall(CreateBCLabel(cdm, "marker"));
797     }
798     PetscCall(DMCopyDisc(dm, cdm));
799     PetscCall(DMGetCoarseDM(cdm, &cdm));
800   }
801   PetscCall(PetscFEDestroy(&fe));
802   PetscCall(PetscFEDestroy(&feAux));
803   PetscFunctionReturn(0);
804 }
805 
806 int main(int argc, char **argv)
807 {
808   DM             dm;          /* Problem specification */
809   SNES           snes;        /* nonlinear solver */
810   Vec            u;           /* solution vector */
811   Mat            A,J;         /* Jacobian matrix */
812   MatNullSpace   nullSpace;   /* May be necessary for Neumann conditions */
813   AppCtx         user;        /* user-defined work context */
814   JacActionCtx   userJ;       /* context for Jacobian MF action */
815   PetscReal      error = 0.0; /* L_2 error in the solution */
816 
817   PetscFunctionBeginUser;
818   PetscCall(PetscInitialize(&argc, &argv, NULL,help));
819   PetscCall(ProcessOptions(PETSC_COMM_WORLD, &user));
820   PetscCall(SNESCreate(PETSC_COMM_WORLD, &snes));
821   PetscCall(CreateMesh(PETSC_COMM_WORLD, &user, &dm));
822   PetscCall(SNESSetDM(snes, dm));
823   PetscCall(DMSetApplicationContext(dm, &user));
824 
825   PetscCall(PetscMalloc2(1, &user.exactFuncs, 1, &user.exactFields));
826   PetscCall(SetupDiscretization(dm, &user));
827 
828   PetscCall(DMCreateGlobalVector(dm, &u));
829   PetscCall(PetscObjectSetName((PetscObject) u, "potential"));
830 
831   PetscCall(DMCreateMatrix(dm, &J));
832   if (user.jacobianMF) {
833     PetscInt M, m, N, n;
834 
835     PetscCall(MatGetSize(J, &M, &N));
836     PetscCall(MatGetLocalSize(J, &m, &n));
837     PetscCall(MatCreate(PETSC_COMM_WORLD, &A));
838     PetscCall(MatSetSizes(A, m, n, M, N));
839     PetscCall(MatSetType(A, MATSHELL));
840     PetscCall(MatSetUp(A));
841 #if 0
842     PetscCall(MatShellSetOperation(A, MATOP_MULT, (void (*)(void))FormJacobianAction));
843 #endif
844 
845     userJ.dm   = dm;
846     userJ.J    = J;
847     userJ.user = &user;
848 
849     PetscCall(DMCreateLocalVector(dm, &userJ.u));
850     if (user.fieldBC) PetscCall(DMProjectFieldLocal(dm, 0.0, userJ.u, user.exactFields, INSERT_BC_VALUES, userJ.u));
851     else              PetscCall(DMProjectFunctionLocal(dm, 0.0, user.exactFuncs, NULL, INSERT_BC_VALUES, userJ.u));
852     PetscCall(MatShellSetContext(A, &userJ));
853   } else {
854     A = J;
855   }
856 
857   nullSpace = NULL;
858   if (user.bcType != DIRICHLET) {
859     PetscCall(MatNullSpaceCreate(PetscObjectComm((PetscObject) dm), PETSC_TRUE, 0, NULL, &nullSpace));
860     PetscCall(MatSetNullSpace(A, nullSpace));
861   }
862 
863   PetscCall(DMPlexSetSNESLocalFEM(dm,&user,&user,&user));
864   PetscCall(SNESSetJacobian(snes, A, J, NULL, NULL));
865 
866   PetscCall(SNESSetFromOptions(snes));
867 
868   if (user.fieldBC) PetscCall(DMProjectField(dm, 0.0, u, user.exactFields, INSERT_ALL_VALUES, u));
869   else              PetscCall(DMProjectFunction(dm, 0.0, user.exactFuncs, NULL, INSERT_ALL_VALUES, u));
870   if (user.restart) {
871 #if defined(PETSC_HAVE_HDF5)
872     PetscViewer viewer;
873     char        filename[PETSC_MAX_PATH_LEN];
874 
875     PetscCall(PetscOptionsGetString(NULL, NULL, "-dm_plex_filename", filename, sizeof(filename), NULL));
876     PetscCall(PetscViewerCreate(PETSC_COMM_WORLD, &viewer));
877     PetscCall(PetscViewerSetType(viewer, PETSCVIEWERHDF5));
878     PetscCall(PetscViewerFileSetMode(viewer, FILE_MODE_READ));
879     PetscCall(PetscViewerFileSetName(viewer, filename));
880     PetscCall(PetscViewerHDF5PushGroup(viewer, "/fields"));
881     PetscCall(VecLoad(u, viewer));
882     PetscCall(PetscViewerHDF5PopGroup(viewer));
883     PetscCall(PetscViewerDestroy(&viewer));
884 #endif
885   }
886   if (user.showInitial) {
887     Vec lv;
888     PetscCall(DMGetLocalVector(dm, &lv));
889     PetscCall(DMGlobalToLocalBegin(dm, u, INSERT_VALUES, lv));
890     PetscCall(DMGlobalToLocalEnd(dm, u, INSERT_VALUES, lv));
891     PetscCall(DMPrintLocalVec(dm, "Local function", 1.0e-10, lv));
892     PetscCall(DMRestoreLocalVector(dm, &lv));
893   }
894   if (user.runType == RUN_FULL || user.runType == RUN_EXACT) {
895     PetscErrorCode (*initialGuess[1])(PetscInt dim, PetscReal time, const PetscReal x[], PetscInt Nc, PetscScalar u[], void *ctx) = {zero};
896 
897     if (user.nonzInit) initialGuess[0] = ecks;
898     if (user.runType == RUN_FULL) {
899       PetscCall(DMProjectFunction(dm, 0.0, initialGuess, NULL, INSERT_VALUES, u));
900     }
901     PetscCall(VecViewFromOptions(u, NULL, "-guess_vec_view"));
902     PetscCall(SNESSolve(snes, NULL, u));
903     PetscCall(SNESGetSolution(snes, &u));
904     PetscCall(SNESGetDM(snes, &dm));
905 
906     if (user.showSolution) {
907       PetscCall(PetscPrintf(PETSC_COMM_WORLD, "Solution\n"));
908       PetscCall(VecChop(u, 3.0e-9));
909       PetscCall(VecView(u, PETSC_VIEWER_STDOUT_WORLD));
910     }
911   } else if (user.runType == RUN_PERF) {
912     Vec       r;
913     PetscReal res = 0.0;
914 
915     PetscCall(SNESGetFunction(snes, &r, NULL, NULL));
916     PetscCall(SNESComputeFunction(snes, u, r));
917     PetscCall(PetscPrintf(PETSC_COMM_WORLD, "Initial Residual\n"));
918     PetscCall(VecChop(r, 1.0e-10));
919     PetscCall(VecNorm(r, NORM_2, &res));
920     PetscCall(PetscPrintf(PETSC_COMM_WORLD, "L_2 Residual: %g\n", (double)res));
921   } else {
922     Vec       r;
923     PetscReal res = 0.0, tol = 1.0e-11;
924 
925     /* Check discretization error */
926     PetscCall(SNESGetFunction(snes, &r, NULL, NULL));
927     PetscCall(PetscPrintf(PETSC_COMM_WORLD, "Initial guess\n"));
928     if (!user.quiet) PetscCall(VecView(u, PETSC_VIEWER_STDOUT_WORLD));
929     PetscCall(DMComputeL2Diff(dm, 0.0, user.exactFuncs, NULL, u, &error));
930     if (error < tol) PetscCall(PetscPrintf(PETSC_COMM_WORLD, "L_2 Error: < %2.1e\n", (double)tol));
931     else             PetscCall(PetscPrintf(PETSC_COMM_WORLD, "L_2 Error: %g\n", (double)error));
932     /* Check residual */
933     PetscCall(SNESComputeFunction(snes, u, r));
934     PetscCall(PetscPrintf(PETSC_COMM_WORLD, "Initial Residual\n"));
935     PetscCall(VecChop(r, 1.0e-10));
936     if (!user.quiet) PetscCall(VecView(r, PETSC_VIEWER_STDOUT_WORLD));
937     PetscCall(VecNorm(r, NORM_2, &res));
938     PetscCall(PetscPrintf(PETSC_COMM_WORLD, "L_2 Residual: %g\n", (double)res));
939     /* Check Jacobian */
940     {
941       Vec b;
942 
943       PetscCall(SNESComputeJacobian(snes, u, A, A));
944       PetscCall(VecDuplicate(u, &b));
945       PetscCall(VecSet(r, 0.0));
946       PetscCall(SNESComputeFunction(snes, r, b));
947       PetscCall(MatMult(A, u, r));
948       PetscCall(VecAXPY(r, 1.0, b));
949       PetscCall(PetscPrintf(PETSC_COMM_WORLD, "Au - b = Au + F(0)\n"));
950       PetscCall(VecChop(r, 1.0e-10));
951       if (!user.quiet) PetscCall(VecView(r, PETSC_VIEWER_STDOUT_WORLD));
952       PetscCall(VecNorm(r, NORM_2, &res));
953       PetscCall(PetscPrintf(PETSC_COMM_WORLD, "Linear L_2 Residual: %g\n", (double)res));
954       /* check solver */
955       if (user.checkksp) {
956         KSP ksp;
957 
958         if (nullSpace) PetscCall(MatNullSpaceRemove(nullSpace, u));
959         PetscCall(SNESComputeJacobian(snes, u, A, J));
960         PetscCall(MatMult(A, u, b));
961         PetscCall(SNESGetKSP(snes, &ksp));
962         PetscCall(KSPSetOperators(ksp, A, J));
963         PetscCall(KSPSolve(ksp, b, r));
964         PetscCall(VecAXPY(r, -1.0, u));
965         PetscCall(VecNorm(r, NORM_2, &res));
966         PetscCall(PetscPrintf(PETSC_COMM_WORLD, "KSP Error: %g\n", (double)res));
967       }
968       PetscCall(VecDestroy(&b));
969     }
970   }
971   PetscCall(VecViewFromOptions(u, NULL, "-vec_view"));
972   {
973     Vec nu;
974 
975     PetscCall(DMGetAuxiliaryVec(dm, NULL, 0, 0, &nu));
976     if (nu) PetscCall(VecViewFromOptions(nu, NULL, "-coeff_view"));
977   }
978 
979   if (user.bdIntegral) {
980     DMLabel   label;
981     PetscInt  id = 1;
982     PetscScalar bdInt = 0.0;
983     PetscReal   exact = 3.3333333333;
984 
985     PetscCall(DMGetLabel(dm, "marker", &label));
986     PetscCall(DMPlexComputeBdIntegral(dm, u, label, 1, &id, bd_integral_2d, &bdInt, NULL));
987     PetscCall(PetscPrintf(PETSC_COMM_WORLD, "Solution boundary integral: %.4g\n", (double) PetscAbsScalar(bdInt)));
988     PetscCheck(PetscAbsReal(PetscAbsScalar(bdInt) - exact) <= PETSC_SQRT_MACHINE_EPSILON,PETSC_COMM_WORLD, PETSC_ERR_PLIB, "Invalid boundary integral %g != %g", (double) PetscAbsScalar(bdInt), (double)exact);
989   }
990 
991   PetscCall(MatNullSpaceDestroy(&nullSpace));
992   if (user.jacobianMF) PetscCall(VecDestroy(&userJ.u));
993   if (A != J) PetscCall(MatDestroy(&A));
994   PetscCall(MatDestroy(&J));
995   PetscCall(VecDestroy(&u));
996   PetscCall(SNESDestroy(&snes));
997   PetscCall(DMDestroy(&dm));
998   PetscCall(PetscFree2(user.exactFuncs, user.exactFields));
999   PetscCall(PetscFree(user.kgrid));
1000   PetscCall(PetscFinalize());
1001   return 0;
1002 }
1003 
1004 /*TEST
1005   # 2D serial P1 test 0-4
1006   test:
1007     suffix: 2d_p1_0
1008     requires: triangle
1009     args: -run_type test -bc_type dirichlet -dm_plex_interpolate 0 -petscspace_degree 1 -show_initial -dm_plex_print_fem 1
1010 
1011   test:
1012     suffix: 2d_p1_1
1013     requires: triangle
1014     args: -run_type test -bc_type dirichlet -petscspace_degree 1 -show_initial -dm_plex_print_fem 1
1015 
1016   test:
1017     suffix: 2d_p1_2
1018     requires: triangle
1019     args: -run_type test -dm_refine_volume_limit_pre 0.0625 -bc_type dirichlet -petscspace_degree 1 -show_initial -dm_plex_print_fem 1
1020 
1021   test:
1022     suffix: 2d_p1_neumann_0
1023     requires: triangle
1024     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
1025 
1026   test:
1027     suffix: 2d_p1_neumann_1
1028     requires: triangle
1029     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
1030 
1031   # 2D serial P2 test 5-8
1032   test:
1033     suffix: 2d_p2_0
1034     requires: triangle
1035     args: -run_type test -bc_type dirichlet -petscspace_degree 2 -show_initial -dm_plex_print_fem 1
1036 
1037   test:
1038     suffix: 2d_p2_1
1039     requires: triangle
1040     args: -run_type test -dm_refine_volume_limit_pre 0.0625 -bc_type dirichlet -petscspace_degree 2 -show_initial -dm_plex_print_fem 1
1041 
1042   test:
1043     suffix: 2d_p2_neumann_0
1044     requires: triangle
1045     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
1046 
1047   test:
1048     suffix: 2d_p2_neumann_1
1049     requires: triangle
1050     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
1051 
1052   test:
1053     suffix: bd_int_0
1054     requires: triangle
1055     args: -run_type test -bc_type dirichlet -petscspace_degree 2 -bd_integral -dm_view -quiet
1056 
1057   test:
1058     suffix: bd_int_1
1059     requires: triangle
1060     args: -run_type test -dm_refine 2 -bc_type dirichlet -petscspace_degree 2 -bd_integral -dm_view -quiet
1061 
1062   # 3D serial P1 test 9-12
1063   test:
1064     suffix: 3d_p1_0
1065     requires: ctetgen
1066     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
1067 
1068   test:
1069     suffix: 3d_p1_1
1070     requires: ctetgen
1071     args: -run_type test -dm_plex_dim 3 -bc_type dirichlet -petscspace_degree 1 -show_initial -dm_plex_print_fem 1 -dm_view
1072 
1073   test:
1074     suffix: 3d_p1_2
1075     requires: ctetgen
1076     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
1077 
1078   test:
1079     suffix: 3d_p1_neumann_0
1080     requires: ctetgen
1081     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
1082 
1083   # Analytic variable coefficient 13-20
1084   test:
1085     suffix: 13
1086     requires: triangle
1087     args: -run_type test -variable_coefficient analytic -petscspace_degree 1 -show_initial -dm_plex_print_fem 1
1088   test:
1089     suffix: 14
1090     requires: triangle
1091     args: -run_type test -dm_refine_volume_limit_pre 0.0625 -variable_coefficient analytic -petscspace_degree 1 -show_initial -dm_plex_print_fem 1
1092   test:
1093     suffix: 15
1094     requires: triangle
1095     args: -run_type test -variable_coefficient analytic -petscspace_degree 2 -show_initial -dm_plex_print_fem 1
1096   test:
1097     suffix: 16
1098     requires: triangle
1099     args: -run_type test -dm_refine_volume_limit_pre 0.0625 -variable_coefficient analytic -petscspace_degree 2 -show_initial -dm_plex_print_fem 1
1100   test:
1101     suffix: 17
1102     requires: ctetgen
1103     args: -run_type test -dm_plex_dim 3 -variable_coefficient analytic -petscspace_degree 1 -show_initial -dm_plex_print_fem 1
1104 
1105   test:
1106     suffix: 18
1107     requires: ctetgen
1108     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
1109 
1110   test:
1111     suffix: 19
1112     requires: ctetgen
1113     args: -run_type test -dm_plex_dim 3 -variable_coefficient analytic -petscspace_degree 2 -show_initial -dm_plex_print_fem 1
1114 
1115   test:
1116     suffix: 20
1117     requires: ctetgen
1118     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
1119 
1120   # P1 variable coefficient 21-28
1121   test:
1122     suffix: 21
1123     requires: triangle
1124     args: -run_type test -variable_coefficient field -petscspace_degree 1 -mat_petscspace_degree 1 -show_initial -dm_plex_print_fem 1
1125 
1126   test:
1127     suffix: 22
1128     requires: triangle
1129     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
1130 
1131   test:
1132     suffix: 23
1133     requires: triangle
1134     args: -run_type test -variable_coefficient field -petscspace_degree 2 -mat_petscspace_degree 1 -show_initial -dm_plex_print_fem 1
1135 
1136   test:
1137     suffix: 24
1138     requires: triangle
1139     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
1140 
1141   test:
1142     suffix: 25
1143     requires: ctetgen
1144     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
1145 
1146   test:
1147     suffix: 26
1148     requires: ctetgen
1149     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
1150 
1151   test:
1152     suffix: 27
1153     requires: ctetgen
1154     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
1155 
1156   test:
1157     suffix: 28
1158     requires: ctetgen
1159     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
1160 
1161   # P0 variable coefficient 29-36
1162   test:
1163     suffix: 29
1164     requires: triangle
1165     args: -run_type test -variable_coefficient field -petscspace_degree 1 -show_initial -dm_plex_print_fem 1
1166 
1167   test:
1168     suffix: 30
1169     requires: triangle
1170     args: -run_type test -dm_refine_volume_limit_pre 0.0625 -variable_coefficient field -petscspace_degree 1 -show_initial -dm_plex_print_fem 1
1171 
1172   test:
1173     suffix: 31
1174     requires: triangle
1175     args: -run_type test -variable_coefficient field -petscspace_degree 2 -show_initial -dm_plex_print_fem 1
1176 
1177   test:
1178     requires: triangle
1179     suffix: 32
1180     args: -run_type test -dm_refine_volume_limit_pre 0.0625 -variable_coefficient field -petscspace_degree 2 -show_initial -dm_plex_print_fem 1
1181 
1182   test:
1183     requires: ctetgen
1184     suffix: 33
1185     args: -run_type test -dm_plex_dim 3 -variable_coefficient field -petscspace_degree 1 -show_initial -dm_plex_print_fem 1
1186 
1187   test:
1188     suffix: 34
1189     requires: ctetgen
1190     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
1191 
1192   test:
1193     suffix: 35
1194     requires: ctetgen
1195     args: -run_type test -dm_plex_dim 3 -variable_coefficient field -petscspace_degree 2 -show_initial -dm_plex_print_fem 1
1196 
1197   test:
1198     suffix: 36
1199     requires: ctetgen
1200     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
1201 
1202   # Full solve 39-44
1203   test:
1204     suffix: 39
1205     requires: triangle !single
1206     args: -run_type full -dm_refine_volume_limit_pre 0.015625 -petscspace_degree 2 -pc_type gamg -pc_gamg_esteig_ksp_type cg -pc_gamg_esteig_ksp_max_it 10 -snes_rtol 1.0e-6 -ksp_rtol 1.0e-7 -ksp_monitor -ksp_converged_reason -snes_monitor_short -snes_converged_reason ::ascii_info_detail
1207   test:
1208     suffix: 40
1209     requires: triangle !single
1210     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
1211   test:
1212     suffix: 41
1213     requires: triangle !single
1214     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
1215   test:
1216     suffix: 42
1217     requires: triangle !single
1218     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
1219   test:
1220     suffix: 43
1221     requires: triangle !single
1222     nsize: 2
1223     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
1224 
1225   test:
1226     suffix: 44
1227     requires: triangle !single
1228     nsize: 2
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 -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
1230 
1231   # These tests use a loose tolerance just to exercise the PtAP operations for MATIS and multiple PCBDDC setup calls inside PCMG
1232   testset:
1233     requires: triangle !single
1234     nsize: 3
1235     args: -run_type full -petscspace_degree 1 -dm_mat_type is -pc_type mg -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
1236     test:
1237       suffix: gmg_bddc
1238       filter: sed -e "s/CONVERGED_FNORM_RELATIVE iterations 3/CONVERGED_FNORM_RELATIVE iterations 4/g"
1239       args: -mg_levels_pc_type jacobi
1240     test:
1241       filter: sed -e "s/iterations [0-4]/iterations 4/g"
1242       suffix: gmg_bddc_lev
1243       args: -mg_levels_pc_type bddc
1244 
1245   # Restarting
1246   testset:
1247     suffix: restart
1248     requires: hdf5 triangle !complex
1249     args: -run_type test -bc_type dirichlet -petscspace_degree 1
1250     test:
1251       args: -dm_view hdf5:sol.h5 -vec_view hdf5:sol.h5::append
1252     test:
1253       args: -dm_plex_filename sol.h5 -dm_plex_name box -restart
1254 
1255   # Periodicity
1256   test:
1257     suffix: periodic_0
1258     requires: triangle
1259     args: -run_type full -bc_type dirichlet -petscspace_degree 1 -snes_converged_reason ::ascii_info_detail
1260 
1261   test:
1262     requires: !complex
1263     suffix: periodic_1
1264     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
1265 
1266   # 2D serial P1 test with field bc
1267   test:
1268     suffix: field_bc_2d_p1_0
1269     requires: triangle
1270     args: -run_type test -bc_type dirichlet -field_bc -petscspace_degree 1 -bc_petscspace_degree 2 -show_initial -dm_plex_print_fem 1
1271 
1272   test:
1273     suffix: field_bc_2d_p1_1
1274     requires: triangle
1275     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
1276 
1277   test:
1278     suffix: field_bc_2d_p1_neumann_0
1279     requires: triangle
1280     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
1281 
1282   test:
1283     suffix: field_bc_2d_p1_neumann_1
1284     requires: triangle
1285     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
1286 
1287   # 3D serial P1 test with field bc
1288   test:
1289     suffix: field_bc_3d_p1_0
1290     requires: ctetgen
1291     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
1292 
1293   test:
1294     suffix: field_bc_3d_p1_1
1295     requires: ctetgen
1296     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
1297 
1298   test:
1299     suffix: field_bc_3d_p1_neumann_0
1300     requires: ctetgen
1301     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
1302 
1303   test:
1304     suffix: field_bc_3d_p1_neumann_1
1305     requires: ctetgen
1306     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
1307 
1308   # 2D serial P2 test with field bc
1309   test:
1310     suffix: field_bc_2d_p2_0
1311     requires: triangle
1312     args: -run_type test -bc_type dirichlet -field_bc -petscspace_degree 2 -bc_petscspace_degree 2 -show_initial -dm_plex_print_fem 1
1313 
1314   test:
1315     suffix: field_bc_2d_p2_1
1316     requires: triangle
1317     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
1318 
1319   test:
1320     suffix: field_bc_2d_p2_neumann_0
1321     requires: triangle
1322     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
1323 
1324   test:
1325     suffix: field_bc_2d_p2_neumann_1
1326     requires: triangle
1327     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
1328 
1329   # 3D serial P2 test with field bc
1330   test:
1331     suffix: field_bc_3d_p2_0
1332     requires: ctetgen
1333     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
1334 
1335   test:
1336     suffix: field_bc_3d_p2_1
1337     requires: ctetgen
1338     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
1339 
1340   test:
1341     suffix: field_bc_3d_p2_neumann_0
1342     requires: ctetgen
1343     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
1344 
1345   test:
1346     suffix: field_bc_3d_p2_neumann_1
1347     requires: ctetgen
1348     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
1349 
1350   # Full solve simplex: Convergence
1351   test:
1352     suffix: 3d_p1_conv
1353     requires: ctetgen
1354     args: -run_type full -dm_plex_dim 3 -dm_refine 1 -bc_type dirichlet -petscspace_degree 1 \
1355       -snes_convergence_estimate -convest_num_refine 1 -pc_type lu
1356 
1357   # Full solve simplex: PCBDDC
1358   test:
1359     suffix: tri_bddc
1360     requires: triangle !single
1361     nsize: 5
1362     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
1363 
1364   # Full solve simplex: PCBDDC
1365   test:
1366     suffix: tri_parmetis_bddc
1367     requires: triangle !single parmetis
1368     nsize: 4
1369     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
1370 
1371   testset:
1372     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
1373     nsize: 5
1374     output_file: output/ex12_quad_bddc.out
1375     filter: sed -e "s/aijcusparse/aij/g" -e "s/aijviennacl/aij/g" -e "s/factorization: cusparse/factorization: petsc/g"
1376     test:
1377       requires: !single
1378       suffix: quad_bddc
1379     test:
1380       requires: !single cuda
1381       suffix: quad_bddc_cuda
1382       args: -matis_localmat_type aijcusparse -pc_bddc_dirichlet_pc_factor_mat_solver_type cusparse -pc_bddc_neumann_pc_factor_mat_solver_type cusparse
1383     test:
1384       requires: !single viennacl
1385       suffix: quad_bddc_viennacl
1386       args: -matis_localmat_type aijviennacl
1387 
1388   # Full solve simplex: ASM
1389   test:
1390     suffix: tri_q2q1_asm_lu
1391     requires: triangle !single
1392     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
1393 
1394   test:
1395     suffix: tri_q2q1_msm_lu
1396     requires: triangle !single
1397     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
1398 
1399   test:
1400     suffix: tri_q2q1_asm_sor
1401     requires: triangle !single
1402     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
1403 
1404   test:
1405     suffix: tri_q2q1_msm_sor
1406     requires: triangle !single
1407     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
1408 
1409   # Full solve simplex: FAS
1410   test:
1411     suffix: fas_newton_0
1412     requires: triangle !single
1413     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
1414 
1415   test:
1416     suffix: fas_newton_1
1417     requires: triangle !single
1418     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
1419     filter: sed -e "s/total number of linear solver iterations=14/total number of linear solver iterations=15/g"
1420 
1421   test:
1422     suffix: fas_ngs_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 ngs -fas_levels_1_snes_monitor_short
1425 
1426   # These two tests are broken because DMPlexComputeInjectorFEM() only works for regularly refined meshes
1427   test:
1428     suffix: fas_newton_coarse_0
1429     requires: pragmatic triangle
1430     TODO: broken
1431     args: -run_type full -variable_coefficient nonlinear -petscspace_degree 1 \
1432           -dm_refine 2 -dm_coarsen_hierarchy 1 -dm_plex_hash_location -dm_adaptor pragmatic \
1433           -snes_type fas -snes_fas_levels 2 -snes_converged_reason ::ascii_info_detail -snes_monitor_short -snes_view \
1434             -fas_coarse_pc_type svd -fas_coarse_ksp_rtol 1.0e-10 -fas_coarse_snes_monitor_short -fas_coarse_snes_linesearch_type basic \
1435             -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
1436 
1437   test:
1438     suffix: mg_newton_coarse_0
1439     requires: triangle pragmatic
1440     TODO: broken
1441     args: -run_type full -petscspace_degree 1 \
1442           -dm_refine 3 -dm_coarsen_hierarchy 3 -dm_plex_hash_location -dm_adaptor pragmatic \
1443           -snes_atol 1.0e-8 -snes_rtol 0.0 -snes_monitor_short -snes_converged_reason ::ascii_info_detail -snes_view \
1444             -ksp_type richardson -ksp_atol 1.0e-8 -ksp_rtol 0.0 -ksp_norm_type unpreconditioned -ksp_monitor_true_residual \
1445               -pc_type mg -pc_mg_levels 4 \
1446               -mg_levels_ksp_type gmres -mg_levels_pc_type ilu -mg_levels_ksp_max_it 10
1447 
1448   # Full solve tensor
1449   test:
1450     suffix: tensor_plex_2d
1451     args: -run_type test -dm_plex_simplex 0 -bc_type dirichlet -petscspace_degree 1 -dm_refine_hierarchy 2
1452 
1453   test:
1454     suffix: tensor_p4est_2d
1455     requires: p4est
1456     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
1457 
1458   test:
1459     suffix: tensor_plex_3d
1460     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
1461 
1462   test:
1463     suffix: tensor_p4est_3d
1464     requires: p4est
1465     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
1466 
1467   test:
1468     suffix: p4est_test_q2_conformal_serial
1469     requires: p4est
1470     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
1471 
1472   test:
1473     suffix: p4est_test_q2_conformal_parallel
1474     requires: p4est
1475     nsize: 7
1476     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
1477 
1478   test:
1479     suffix: p4est_test_q2_conformal_parallel_parmetis
1480     requires: parmetis p4est
1481     nsize: 4
1482     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
1483 
1484   test:
1485     suffix: p4est_test_q2_nonconformal_serial
1486     requires: p4est
1487     filter: grep -v "CG or CGNE: variant"
1488     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
1489 
1490   test:
1491     suffix: p4est_test_q2_nonconformal_parallel
1492     requires: p4est
1493     filter: grep -v "CG or CGNE: variant"
1494     nsize: 7
1495     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
1496 
1497   test:
1498     suffix: p4est_test_q2_nonconformal_parallel_parmetis
1499     requires: parmetis p4est
1500     nsize: 4
1501     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
1502 
1503   test:
1504     suffix: p4est_exact_q2_conformal_serial
1505     requires: p4est !single !complex !__float128
1506     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
1507 
1508   test:
1509     suffix: p4est_exact_q2_conformal_parallel
1510     requires: p4est !single !complex !__float128
1511     nsize: 4
1512     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
1513 
1514   test:
1515     suffix: p4est_exact_q2_conformal_parallel_parmetis
1516     requires: parmetis p4est !single
1517     nsize: 4
1518     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
1519 
1520   test:
1521     suffix: p4est_exact_q2_nonconformal_serial
1522     requires: p4est
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 -dm_forest_maximum_refinement 4 -dm_p4est_refine_pattern hash
1524 
1525   test:
1526     suffix: p4est_exact_q2_nonconformal_parallel
1527     requires: p4est
1528     nsize: 7
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 -dm_forest_maximum_refinement 4 -dm_p4est_refine_pattern hash -petscpartitioner_type simple
1530 
1531   test:
1532     suffix: p4est_exact_q2_nonconformal_parallel_parmetis
1533     requires: parmetis p4est
1534     nsize: 4
1535     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
1536 
1537   test:
1538     suffix: p4est_full_q2_nonconformal_serial
1539     requires: p4est !single
1540     filter: grep -v "variant HERMITIAN"
1541     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
1542 
1543   test:
1544     suffix: p4est_full_q2_nonconformal_parallel
1545     requires: p4est !single
1546     filter: grep -v "variant HERMITIAN"
1547     nsize: 7
1548     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
1549 
1550   test:
1551     suffix: p4est_full_q2_nonconformal_parallel_bddcfas
1552     requires: p4est !single
1553     filter: grep -v "variant HERMITIAN"
1554     nsize: 7
1555     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
1556 
1557   test:
1558     suffix: p4est_full_q2_nonconformal_parallel_bddc
1559     requires: p4est !single
1560     filter: grep -v "variant HERMITIAN"
1561     nsize: 7
1562     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
1563 
1564   test:
1565     TODO: broken
1566     suffix: p4est_fas_q2_conformal_serial
1567     requires: p4est !complex !__float128
1568     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
1569 
1570   test:
1571     TODO: broken
1572     suffix: p4est_fas_q2_nonconformal_serial
1573     requires: p4est
1574     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
1575 
1576   test:
1577     suffix: fas_newton_0_p4est
1578     requires: p4est !single !__float128
1579     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
1580 
1581   # Full solve simplicial AMR
1582   test:
1583     suffix: tri_p1_adapt_init_pragmatic
1584     requires: pragmatic
1585     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
1586 
1587   test:
1588     suffix: tri_p2_adapt_init_pragmatic
1589     requires: pragmatic
1590     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
1591 
1592   test:
1593     suffix: tri_p1_adapt_init_mmg
1594     requires: mmg
1595     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
1596 
1597   test:
1598     suffix: tri_p2_adapt_init_mmg
1599     requires: mmg
1600     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
1601 
1602   test:
1603     suffix: tri_p1_adapt_seq_pragmatic
1604     requires: pragmatic
1605     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
1606 
1607   test:
1608     suffix: tri_p2_adapt_seq_pragmatic
1609     requires: pragmatic
1610     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
1611 
1612   test:
1613     suffix: tri_p1_adapt_seq_mmg
1614     requires: mmg
1615     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
1616 
1617   test:
1618     suffix: tri_p2_adapt_seq_mmg
1619     requires: mmg
1620     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
1621 
1622   test:
1623     suffix: tri_p1_adapt_analytic_pragmatic
1624     requires: pragmatic
1625     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
1626 
1627   test:
1628     suffix: tri_p2_adapt_analytic_pragmatic
1629     requires: pragmatic
1630     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
1631 
1632   test:
1633     suffix: tri_p1_adapt_analytic_mmg
1634     requires: mmg
1635     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
1636 
1637   test:
1638     suffix: tri_p2_adapt_analytic_mmg
1639     requires: mmg
1640     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
1641 
1642   test:
1643     suffix: tri_p1_adapt_uniform_pragmatic
1644     requires: pragmatic tetgen
1645     nsize: 2
1646     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
1647     timeoutfactor: 2
1648 
1649   test:
1650     suffix: tri_p2_adapt_uniform_pragmatic
1651     requires: pragmatic tetgen
1652     nsize: 2
1653     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
1654     timeoutfactor: 1
1655 
1656   test:
1657     suffix: tri_p1_adapt_uniform_mmg
1658     requires: mmg tetgen
1659     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
1660     timeoutfactor: 2
1661 
1662   test:
1663     suffix: tri_p2_adapt_uniform_mmg
1664     requires: mmg tetgen
1665     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
1666     timeoutfactor: 1
1667 
1668   test:
1669     suffix: tri_p1_adapt_uniform_parmmg
1670     requires: parmmg tetgen
1671     nsize: 2
1672     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
1673     timeoutfactor: 2
1674 
1675   test:
1676     suffix: tri_p2_adapt_uniform_parmmg
1677     requires: parmmg tetgen
1678     nsize: 2
1679     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
1680     timeoutfactor: 1
1681 
1682   # Full solve tensor AMR
1683   test:
1684     suffix: quad_q1_adapt_0
1685     requires: p4est
1686     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
1687     filter: grep -v DM_
1688 
1689   test:
1690     suffix: amr_0
1691     nsize: 5
1692     args: -run_type test -petscpartitioner_type simple -dm_plex_simplex 0 -bc_type dirichlet -petscspace_degree 1 -dm_refine 1
1693 
1694   test:
1695     suffix: amr_1
1696     requires: p4est !complex
1697     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
1698 
1699   test:
1700     suffix: p4est_solve_bddc
1701     requires: p4est !complex
1702     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
1703     nsize: 4
1704 
1705   test:
1706     suffix: p4est_solve_fas
1707     requires: p4est
1708     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
1709     nsize: 4
1710     TODO: identical machine two runs produce slightly different solver trackers
1711 
1712   test:
1713     suffix: p4est_convergence_test_1
1714     requires: p4est
1715     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
1716     nsize: 4
1717 
1718   test:
1719     suffix: p4est_convergence_test_2
1720     requires: p4est
1721     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
1722 
1723   test:
1724     suffix: p4est_convergence_test_3
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 4 -dm_forest_initial_refinement 4 -dm_forest_maximum_refinement 6 -dm_p4est_refine_pattern hash
1727 
1728   test:
1729     suffix: p4est_convergence_test_4
1730     requires: p4est
1731     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
1732     timeoutfactor: 5
1733 
1734   # Serial tests with GLVis visualization
1735   test:
1736     suffix: glvis_2d_tet_p1
1737     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
1738   test:
1739     suffix: glvis_2d_tet_p2
1740     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
1741   test:
1742     suffix: glvis_2d_hex_p1
1743     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
1744   test:
1745     suffix: glvis_2d_hex_p2
1746     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
1747   test:
1748     suffix: glvis_2d_hex_p2_p4est
1749     requires: p4est
1750     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
1751   test:
1752     suffix: glvis_2d_tet_p0
1753     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
1754   test:
1755     suffix: glvis_2d_hex_p0
1756     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
1757 
1758   # PCHPDDM tests
1759   testset:
1760     nsize: 4
1761     requires: hpddm slepc !single defined(PETSC_HAVE_DYNAMIC_LIBRARIES) defined(PETSC_USE_SHARED_LIBRARIES)
1762     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
1763     test:
1764       suffix: quad_singular_hpddm
1765       args: -dm_plex_box_faces 6,7
1766     test:
1767       requires: p4est
1768       suffix: p4est_singular_2d_hpddm
1769       args: -dm_plex_convert_type p4est -dm_forest_minimum_refinement 1 -dm_forest_initial_refinement 3 -dm_forest_maximum_refinement 3
1770     test:
1771       requires: p4est
1772       suffix: p4est_nc_singular_2d_hpddm
1773       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
1774   testset:
1775     nsize: 4
1776     requires: hpddm slepc triangle !single defined(PETSC_HAVE_DYNAMIC_LIBRARIES) defined(PETSC_USE_SHARED_LIBRARIES)
1777     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
1778     test:
1779       args: -pc_hpddm_coarse_mat_type baij -options_left no
1780       suffix: tri_hpddm_reuse_baij
1781     test:
1782       requires: !complex
1783       suffix: tri_hpddm_reuse
1784   testset:
1785     nsize: 4
1786     requires: hpddm slepc !single defined(PETSC_HAVE_DYNAMIC_LIBRARIES) defined(PETSC_USE_SHARED_LIBRARIES)
1787     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
1788     test:
1789       args: -pc_hpddm_coarse_mat_type baij -options_left no
1790       suffix: quad_hpddm_reuse_baij
1791     test:
1792       requires: !complex
1793       suffix: quad_hpddm_reuse
1794   testset:
1795     nsize: 4
1796     requires: hpddm slepc !single defined(PETSC_HAVE_DYNAMIC_LIBRARIES) defined(PETSC_USE_SHARED_LIBRARIES)
1797     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
1798     test:
1799       args: -pc_hpddm_coarse_mat_type baij -options_left no
1800       suffix: quad_hpddm_reuse_threshold_baij
1801     test:
1802       requires: !complex
1803       suffix: quad_hpddm_reuse_threshold
1804   testset:
1805     nsize: 4
1806     requires: hpddm slepc parmetis !single defined(PETSC_HAVE_DYNAMIC_LIBRARIES) defined(PETSC_USE_SHARED_LIBRARIES)
1807     filter: sed -e "s/linear solver iterations=17/linear solver iterations=16/g"
1808     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
1809     test:
1810       args: -pc_hpddm_coarse_mat_type baij -options_left no
1811       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"
1812       suffix: tri_parmetis_hpddm_baij
1813     test:
1814       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"
1815       requires: !complex
1816       suffix: tri_parmetis_hpddm
1817 
1818   # 2D serial P1 tests for adaptive MG
1819   test:
1820     suffix: 2d_p1_adaptmg_0
1821     requires: triangle
1822     args: -petscpartitioner_type simple -dm_refine_hierarchy 3 -dm_plex_box_faces 4,4 -bc_type dirichlet -petscspace_degree 1 \
1823           -variable_coefficient checkerboard_0 -mat_petscspace_degree 0 -div 16 -k 3 \
1824           -snes_max_it 1 -ksp_converged_reason \
1825           -ksp_rtol 1e-8 -pc_type mg
1826   test:
1827     suffix: 2d_p1_adaptmg_1
1828     requires: triangle bamg todo
1829     args: -petscpartitioner_type simple -dm_refine_hierarchy 3 -dm_plex_box_faces 4,4 -bc_type dirichlet -petscspace_degree 1 \
1830           -variable_coefficient checkerboard_0 -mat_petscspace_degree 0 -div 16 -k 3 \
1831           -snes_max_it 1 -ksp_converged_reason \
1832           -ksp_rtol 1e-8 -pc_type mg -pc_mg_galerkin -pc_mg_adapt_interp_coarse_space eigenvector -pc_mg_adapt_interp_n 1 \
1833             -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
1834   test:
1835     suffix: 2d_p1_adaptmg_gdsw
1836     requires: triangle
1837     nsize: 4
1838     args: -petscpartitioner_type simple -dm_refine 3 -dm_plex_box_faces 4,4 -bc_type dirichlet -petscspace_degree 1 \
1839           -variable_coefficient checkerboard_0 -mat_petscspace_degree 0 -div 16 -k 3 \
1840           -snes_max_it 1 -ksp_converged_reason \
1841           -ksp_rtol 1e-8 -pc_type mg -pc_mg_galerkin -pc_mg_adapt_interp_coarse_space gdsw -pc_mg_levels 2 -mg_levels_pc_type asm -dm_mat_type {{aij is}}
1842 
1843   test:
1844     suffix: 2d_p1_adaptmg_agdsw
1845     requires: triangle mumps
1846     nsize: 4
1847     args: -petscpartitioner_type simple -dm_refine 3 -dm_plex_box_faces 4,4 -bc_type dirichlet -petscspace_degree 1 \
1848           -variable_coefficient checkerboard_0 -mat_petscspace_degree 0 -div 16 -k 3 \
1849           -snes_max_it 1 -ksp_converged_reason \
1850           -ksp_rtol 1e-8 -pc_type mg -pc_mg_galerkin -pc_mg_adapt_interp_coarse_space gdsw -pc_mg_levels 2 -mg_levels_pc_type asm -dm_mat_type is -mg_levels_gdsw_tolerance 0.1 -mg_levels_gdsw_pseudo_pc_type qr
1851 
1852 TEST*/
1853