xref: /petsc/include/petscsnes.h (revision a174af7ba5ddcd7958fb849d9fff48e4dcd911a7)
1 /*
2     User interface for the nonlinear solvers package.
3 */
4 #if !defined(__PETSCSNES_H)
5 #define __PETSCSNES_H
6 #include <petscksp.h>
7 #include <petscdmda.h>
8 
9 /*S
10      SNES - Abstract PETSc object that manages all nonlinear solves
11 
12    Level: beginner
13 
14   Concepts: nonlinear solvers
15 
16 .seealso:  SNESCreate(), SNESSetType(), SNESType, TS, KSP, KSP, PC
17 S*/
18 typedef struct _p_SNES* SNES;
19 
20 /*J
21     SNESType - String with the name of a PETSc SNES method or the creation function
22        with an optional dynamic library name, for example
23        http://www.mcs.anl.gov/petsc/lib.a:mysnescreate()
24 
25    Level: beginner
26 
27 .seealso: SNESSetType(), SNES
28 J*/
29 typedef const char* SNESType;
30 #define SNESLS           "ls"
31 #define SNESTR           "tr"
32 #define SNESPYTHON       "python"
33 #define SNESTEST         "test"
34 #define SNESNRICHARDSON  "nrichardson"
35 #define SNESKSPONLY      "ksponly"
36 #define SNESVIRS         "virs"
37 #define SNESVISS         "viss"
38 #define SNESNGMRES       "ngmres"
39 #define SNESQN           "qn"
40 #define SNESSHELL        "shell"
41 #define SNESGS           "gs"
42 #define SNESNCG          "ncg"
43 #define SNESFAS          "fas"
44 #define SNESMS           "ms"
45 #define SNESNASM         "nasm"
46 
47 /* Logging support */
48 PETSC_EXTERN PetscClassId SNES_CLASSID;
49 
50 PETSC_EXTERN PetscErrorCode SNESInitializePackage(const char[]);
51 
52 PETSC_EXTERN PetscErrorCode SNESCreate(MPI_Comm,SNES*);
53 PETSC_EXTERN PetscErrorCode SNESReset(SNES);
54 PETSC_EXTERN PetscErrorCode SNESDestroy(SNES*);
55 PETSC_EXTERN PetscErrorCode SNESSetType(SNES,SNESType);
56 PETSC_EXTERN PetscErrorCode SNESMonitor(SNES,PetscInt,PetscReal);
57 PETSC_EXTERN PetscErrorCode SNESMonitorSet(SNES,PetscErrorCode(*)(SNES,PetscInt,PetscReal,void*),void *,PetscErrorCode (*)(void**));
58 PETSC_EXTERN PetscErrorCode SNESMonitorCancel(SNES);
59 PETSC_EXTERN PetscErrorCode SNESSetConvergenceHistory(SNES,PetscReal[],PetscInt[],PetscInt,PetscBool );
60 PETSC_EXTERN PetscErrorCode SNESGetConvergenceHistory(SNES,PetscReal*[],PetscInt *[],PetscInt *);
61 PETSC_EXTERN PetscErrorCode SNESSetUp(SNES);
62 PETSC_EXTERN PetscErrorCode SNESSolve(SNES,Vec,Vec);
63 PETSC_EXTERN PetscErrorCode SNESSetErrorIfNotConverged(SNES,PetscBool );
64 PETSC_EXTERN PetscErrorCode SNESGetErrorIfNotConverged(SNES,PetscBool  *);
65 
66 
67 PETSC_EXTERN PetscErrorCode SNESAddOptionsChecker(PetscErrorCode (*)(SNES));
68 
69 PETSC_EXTERN PetscErrorCode SNESSetUpdate(SNES, PetscErrorCode (*)(SNES, PetscInt));
70 PETSC_EXTERN PetscErrorCode SNESDefaultUpdate(SNES, PetscInt);
71 
72 PETSC_EXTERN PetscFList SNESList;
73 PETSC_EXTERN PetscErrorCode SNESRegisterDestroy(void);
74 PETSC_EXTERN PetscErrorCode SNESRegisterAll(const char[]);
75 
76 PETSC_EXTERN PetscErrorCode SNESRegister(const char[],const char[],const char[],PetscErrorCode (*)(SNES));
77 
78 /*MC
79    SNESRegisterDynamic - Adds a method to the nonlinear solver package.
80 
81    Synopsis:
82    PetscErrorCode SNESRegisterDynamic(const char *name_solver,const char *path,const char *name_create,PetscErrorCode (*routine_create)(SNES))
83 
84    Not collective
85 
86    Input Parameters:
87 +  name_solver - name of a new user-defined solver
88 .  path - path (either absolute or relative) the library containing this solver
89 .  name_create - name of routine to create method context
90 -  routine_create - routine to create method context
91 
92    Notes:
93    SNESRegisterDynamic() may be called multiple times to add several user-defined solvers.
94 
95    If dynamic libraries are used, then the fourth input argument (routine_create)
96    is ignored.
97 
98    Environmental variables such as ${PETSC_ARCH}, ${PETSC_DIR}, ${PETSC_LIB_DIR},
99    and others of the form ${any_environmental_variable} occuring in pathname will be
100    replaced with appropriate values.
101 
102    Sample usage:
103 .vb
104    SNESRegisterDynamic("my_solver",/home/username/my_lib/lib/libg/solaris/mylib.a,
105                 "MySolverCreate",MySolverCreate);
106 .ve
107 
108    Then, your solver can be chosen with the procedural interface via
109 $     SNESSetType(snes,"my_solver")
110    or at runtime via the option
111 $     -snes_type my_solver
112 
113    Level: advanced
114 
115     Note: If your function is not being put into a shared library then use SNESRegister() instead
116 
117 .keywords: SNES, nonlinear, register
118 
119 .seealso: SNESRegisterAll(), SNESRegisterDestroy()
120 M*/
121 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
122 #define SNESRegisterDynamic(a,b,c,d) SNESRegister(a,b,c,0)
123 #else
124 #define SNESRegisterDynamic(a,b,c,d) SNESRegister(a,b,c,d)
125 #endif
126 
127 PETSC_EXTERN PetscErrorCode SNESGetKSP(SNES,KSP*);
128 PETSC_EXTERN PetscErrorCode SNESSetKSP(SNES,KSP);
129 PETSC_EXTERN PetscErrorCode SNESGetSolution(SNES,Vec*);
130 PETSC_EXTERN PetscErrorCode SNESGetSolutionUpdate(SNES,Vec*);
131 PETSC_EXTERN PetscErrorCode SNESGetRhs(SNES,Vec*);
132 PETSC_EXTERN PetscErrorCode SNESView(SNES,PetscViewer);
133 
134 PETSC_EXTERN PetscErrorCode SNESSetOptionsPrefix(SNES,const char[]);
135 PETSC_EXTERN PetscErrorCode SNESAppendOptionsPrefix(SNES,const char[]);
136 PETSC_EXTERN PetscErrorCode SNESGetOptionsPrefix(SNES,const char*[]);
137 PETSC_EXTERN PetscErrorCode SNESSetFromOptions(SNES);
138 PETSC_EXTERN PetscErrorCode SNESDefaultGetWork(SNES,PetscInt);
139 
140 PETSC_EXTERN PetscErrorCode MatCreateSNESMF(SNES,Mat*);
141 PETSC_EXTERN PetscErrorCode MatMFFDComputeJacobian(SNES,Vec,Mat*,Mat*,MatStructure*,void*);
142 
143 PETSC_EXTERN PetscErrorCode MatDAADSetSNES(Mat,SNES);
144 
145 PETSC_EXTERN PetscErrorCode SNESGetType(SNES,SNESType*);
146 PETSC_EXTERN PetscErrorCode SNESMonitorDefault(SNES,PetscInt,PetscReal,void *);
147 PETSC_EXTERN PetscErrorCode SNESMonitorRange(SNES,PetscInt,PetscReal,void *);
148 PETSC_EXTERN PetscErrorCode SNESMonitorRatio(SNES,PetscInt,PetscReal,void *);
149 PETSC_EXTERN PetscErrorCode SNESMonitorSetRatio(SNES,PetscViewer);
150 PETSC_EXTERN PetscErrorCode SNESMonitorSolution(SNES,PetscInt,PetscReal,void *);
151 PETSC_EXTERN PetscErrorCode SNESMonitorResidual(SNES,PetscInt,PetscReal,void *);
152 PETSC_EXTERN PetscErrorCode SNESMonitorSolutionUpdate(SNES,PetscInt,PetscReal,void *);
153 PETSC_EXTERN PetscErrorCode SNESMonitorDefaultShort(SNES,PetscInt,PetscReal,void *);
154 PETSC_EXTERN PetscErrorCode SNESMonitorJacUpdateSpectrum(SNES,PetscInt,PetscReal,void *);
155 PETSC_EXTERN PetscErrorCode SNESSetTolerances(SNES,PetscReal,PetscReal,PetscReal,PetscInt,PetscInt);
156 PETSC_EXTERN PetscErrorCode SNESGetTolerances(SNES,PetscReal*,PetscReal*,PetscReal*,PetscInt*,PetscInt*);
157 PETSC_EXTERN PetscErrorCode SNESSetTrustRegionTolerance(SNES,PetscReal);
158 PETSC_EXTERN PetscErrorCode SNESGetFunctionNorm(SNES,PetscReal*);
159 PETSC_EXTERN PetscErrorCode SNESSetFunctionNorm(SNES,PetscReal);
160 PETSC_EXTERN PetscErrorCode SNESGetIterationNumber(SNES,PetscInt*);
161 PETSC_EXTERN PetscErrorCode SNESSetIterationNumber(SNES,PetscInt);
162 
163 PETSC_EXTERN PetscErrorCode SNESGetNonlinearStepFailures(SNES,PetscInt*);
164 PETSC_EXTERN PetscErrorCode SNESSetMaxNonlinearStepFailures(SNES,PetscInt);
165 PETSC_EXTERN PetscErrorCode SNESGetMaxNonlinearStepFailures(SNES,PetscInt*);
166 PETSC_EXTERN PetscErrorCode SNESGetNumberFunctionEvals(SNES,PetscInt*);
167 
168 PETSC_EXTERN PetscErrorCode SNESSetLagPreconditioner(SNES,PetscInt);
169 PETSC_EXTERN PetscErrorCode SNESGetLagPreconditioner(SNES,PetscInt*);
170 PETSC_EXTERN PetscErrorCode SNESSetLagJacobian(SNES,PetscInt);
171 PETSC_EXTERN PetscErrorCode SNESGetLagJacobian(SNES,PetscInt*);
172 PETSC_EXTERN PetscErrorCode SNESSetGridSequence(SNES,PetscInt);
173 
174 PETSC_EXTERN PetscErrorCode SNESGetLinearSolveIterations(SNES,PetscInt*);
175 PETSC_EXTERN PetscErrorCode SNESGetLinearSolveFailures(SNES,PetscInt*);
176 PETSC_EXTERN PetscErrorCode SNESSetMaxLinearSolveFailures(SNES,PetscInt);
177 PETSC_EXTERN PetscErrorCode SNESGetMaxLinearSolveFailures(SNES,PetscInt*);
178 
179 PETSC_EXTERN PetscErrorCode SNESKSPSetUseEW(SNES,PetscBool );
180 PETSC_EXTERN PetscErrorCode SNESKSPGetUseEW(SNES,PetscBool *);
181 PETSC_EXTERN PetscErrorCode SNESKSPSetParametersEW(SNES,PetscInt,PetscReal,PetscReal,PetscReal,PetscReal,PetscReal,PetscReal);
182 PETSC_EXTERN PetscErrorCode SNESKSPGetParametersEW(SNES,PetscInt*,PetscReal*,PetscReal*,PetscReal*,PetscReal*,PetscReal*,PetscReal*);
183 
184 PETSC_EXTERN PetscErrorCode SNESMonitorLGCreate(const char[],const char[],int,int,int,int,PetscDrawLG*);
185 PETSC_EXTERN PetscErrorCode SNESMonitorLGResidualNorm(SNES,PetscInt,PetscReal,void*);
186 PETSC_EXTERN PetscErrorCode SNESMonitorLGDestroy(PetscDrawLG*);
187 PETSC_EXTERN PetscErrorCode SNESMonitorLGRange(SNES,PetscInt,PetscReal,void*);
188 
189 PETSC_EXTERN PetscErrorCode SNESSetApplicationContext(SNES,void *);
190 PETSC_EXTERN PetscErrorCode SNESGetApplicationContext(SNES,void *);
191 PETSC_EXTERN PetscErrorCode SNESSetComputeApplicationContext(SNES,PetscErrorCode (*)(SNES,void**),PetscErrorCode (*)(void**));
192 
193 PETSC_EXTERN PetscErrorCode SNESPythonSetType(SNES,const char[]);
194 
195 PETSC_EXTERN PetscErrorCode SNESSetFunctionDomainError(SNES);
196 PETSC_EXTERN PetscErrorCode SNESGetFunctionDomainError(SNES, PetscBool *);
197 
198 /*E
199     SNESConvergedReason - reason a SNES method was said to
200          have converged or diverged
201 
202    Level: beginner
203 
204    The two most common reasons for divergence are
205 $   1) an incorrectly coded or computed Jacobian or
206 $   2) failure or lack of convergence in the linear system (in this case we recommend
207 $      testing with -pc_type lu to eliminate the linear solver as the cause of the problem).
208 
209    Diverged Reasons:
210 .    SNES_DIVERGED_LOCAL_MIN - this can only occur when using the line-search variant of SNES.
211        The line search wants to minimize Q(alpha) = 1/2 || F(x + alpha s) ||^2_2  this occurs
212        at Q'(alpha) = s^T F'(x+alpha s)^T F(x+alpha s) = 0. If s is the Newton direction - F'(x)^(-1)F(x) then
213        you get Q'(alpha) = -F(x)^T F'(x)^(-1)^T F'(x+alpha s)F(x+alpha s); when alpha = 0
214        Q'(0) = - ||F(x)||^2_2 which is always NEGATIVE if F'(x) is invertible. This means the Newton
215        direction is a descent direction and the line search should succeed if alpha is small enough.
216 
217        If F'(x) is NOT invertible AND F'(x)^T F(x) = 0 then Q'(0) = 0 and the Newton direction
218        is NOT a descent direction so the line search will fail. All one can do at this point
219        is change the initial guess and try again.
220 
221        An alternative explanation: Newton's method can be regarded as replacing the function with
222        its linear approximation and minimizing the 2-norm of that. That is F(x+s) approx F(x) + F'(x)s
223        so we minimize || F(x) + F'(x) s ||^2_2; do this using Least Squares. If F'(x) is invertible then
224        s = - F'(x)^(-1)F(x) otherwise F'(x)^T F'(x) s = -F'(x)^T F(x). If F'(x)^T F(x) is NOT zero then there
225        exists a nontrival (that is F'(x)s != 0) solution to the equation and this direction is
226        s = - [F'(x)^T F'(x)]^(-1) F'(x)^T F(x) so Q'(0) = - F(x)^T F'(x) [F'(x)^T F'(x)]^(-T) F'(x)^T F(x)
227        = - (F'(x)^T F(x)) [F'(x)^T F'(x)]^(-T) (F'(x)^T F(x)). Since we are assuming (F'(x)^T F(x)) != 0
228        and F'(x)^T F'(x) has no negative eigenvalues Q'(0) < 0 so s is a descent direction and the line
229        search should succeed for small enough alpha.
230 
231        Note that this RARELY happens in practice. Far more likely the linear system is not being solved
232        (well enough?) or the Jacobian is wrong.
233 
234    SNES_DIVERGED_MAX_IT means that the solver reached the maximum number of iterations without satisfying any
235    convergence criteria. SNES_CONVERGED_ITS means that SNESSkipConverged() was chosen as the convergence test;
236    thus the usual convergence criteria have not been checked and may or may not be satisfied.
237 
238    Developer Notes: this must match finclude/petscsnes.h
239 
240        The string versions of these are in SNESConvergedReason, if you change any value here you must
241      also adjust that array.
242 
243    Each reason has its own manual page.
244 
245 .seealso: SNESSolve(), SNESGetConvergedReason(), KSPConvergedReason, SNESSetConvergenceTest()
246 E*/
247 typedef enum {/* converged */
248               SNES_CONVERGED_FNORM_ABS         =  2, /* ||F|| < atol */
249               SNES_CONVERGED_FNORM_RELATIVE    =  3, /* ||F|| < rtol*||F_initial|| */
250               SNES_CONVERGED_SNORM_RELATIVE    =  4, /* Newton computed step size small; || delta x || < stol */
251               SNES_CONVERGED_ITS               =  5, /* maximum iterations reached */
252               SNES_CONVERGED_TR_DELTA          =  7,
253               /* diverged */
254               SNES_DIVERGED_FUNCTION_DOMAIN     = -1, /* the new x location passed the function is not in the domain of F */
255               SNES_DIVERGED_FUNCTION_COUNT      = -2,
256               SNES_DIVERGED_LINEAR_SOLVE        = -3, /* the linear solve failed */
257               SNES_DIVERGED_FNORM_NAN           = -4,
258               SNES_DIVERGED_MAX_IT              = -5,
259               SNES_DIVERGED_LINE_SEARCH         = -6, /* the line search failed */
260               SNES_DIVERGED_INNER               = -7, /* inner solve failed */
261               SNES_DIVERGED_LOCAL_MIN           = -8, /* || J^T b || is small, implies converged to local minimum of F() */
262               SNES_CONVERGED_ITERATING          =  0} SNESConvergedReason;
263 PETSC_EXTERN const char *const*SNESConvergedReasons;
264 
265 /*MC
266      SNES_CONVERGED_FNORM_ABS - 2-norm(F) <= abstol
267 
268    Level: beginner
269 
270 .seealso:  SNESSolve(), SNESGetConvergedReason(), SNESConvergedReason, SNESSetTolerances()
271 
272 M*/
273 
274 /*MC
275      SNES_CONVERGED_FNORM_RELATIVE - 2-norm(F) <= rtol*2-norm(F(x_0)) where x_0 is the initial guess
276 
277    Level: beginner
278 
279 .seealso:  SNESSolve(), SNESGetConvergedReason(), SNESConvergedReason, SNESSetTolerances()
280 
281 M*/
282 
283 /*MC
284      SNES_CONVERGED_SNORM_RELATIVE - The 2-norm of the last step <= stol * 2-norm(x) where x is the current
285           solution and stol is the 4th argument to SNESSetTolerances()
286 
287      Options Database Keys:
288       -snes_stol <stol> - the step tolerance
289 
290    Level: beginner
291 
292 .seealso:  SNESSolve(), SNESGetConvergedReason(), SNESConvergedReason, SNESSetTolerances()
293 
294 M*/
295 
296 /*MC
297      SNES_DIVERGED_FUNCTION_COUNT - The user provided function has been called more times then the final
298          argument to SNESSetTolerances()
299 
300    Level: beginner
301 
302 .seealso:  SNESSolve(), SNESGetConvergedReason(), SNESConvergedReason, SNESSetTolerances()
303 
304 M*/
305 
306 /*MC
307      SNES_DIVERGED_FNORM_NAN - the 2-norm of the current function evaluation is not-a-number (NaN), this
308       is usually caused by a division of 0 by 0.
309 
310    Level: beginner
311 
312 .seealso:  SNESSolve(), SNESGetConvergedReason(), SNESConvergedReason, SNESSetTolerances()
313 
314 M*/
315 
316 /*MC
317      SNES_DIVERGED_MAX_IT - SNESSolve() has reached the maximum number of iterations requested
318 
319    Level: beginner
320 
321 .seealso:  SNESSolve(), SNESGetConvergedReason(), SNESConvergedReason, SNESSetTolerances()
322 
323 M*/
324 
325 /*MC
326      SNES_DIVERGED_LINE_SEARCH - The line search has failed. This only occurs for a SNESType of SNESLS
327 
328    Level: beginner
329 
330 .seealso:  SNESSolve(), SNESGetConvergedReason(), SNESConvergedReason, SNESSetTolerances()
331 
332 M*/
333 
334 /*MC
335      SNES_DIVERGED_LOCAL_MIN - the algorithm seems to have stagnated at a local minimum that is not zero.
336         See the manual page for SNESConvergedReason for more details
337 
338    Level: beginner
339 
340 .seealso:  SNESSolve(), SNESGetConvergedReason(), SNESConvergedReason, SNESSetTolerances()
341 
342 M*/
343 
344 /*MC
345      SNES_CONERGED_ITERATING - this only occurs if SNESGetConvergedReason() is called during the SNESSolve()
346 
347    Level: beginner
348 
349 .seealso:  SNESSolve(), SNESGetConvergedReason(), SNESConvergedReason, SNESSetTolerances()
350 
351 M*/
352 
353 PETSC_EXTERN PetscErrorCode SNESSetConvergenceTest(SNES,PetscErrorCode (*)(SNES,PetscInt,PetscReal,PetscReal,PetscReal,SNESConvergedReason*,void*),void*,PetscErrorCode (*)(void*));
354 PETSC_EXTERN PetscErrorCode SNESDefaultConverged(SNES,PetscInt,PetscReal,PetscReal,PetscReal,SNESConvergedReason*,void*);
355 PETSC_EXTERN PetscErrorCode SNESSkipConverged(SNES,PetscInt,PetscReal,PetscReal,PetscReal,SNESConvergedReason*,void*);
356 PETSC_EXTERN PetscErrorCode SNESGetConvergedReason(SNES,SNESConvergedReason*);
357 
358 PETSC_EXTERN PetscErrorCode SNESDMMeshComputeFunction(SNES,Vec,Vec,void*);
359 PETSC_EXTERN PetscErrorCode SNESDMMeshComputeJacobian(SNES,Vec,Mat*,Mat*,MatStructure*,void*);
360 PETSC_EXTERN PetscErrorCode SNESDMComputeFunction(SNES,Vec,Vec,void *);
361 PETSC_EXTERN PetscErrorCode SNESDMComputeJacobian(SNES,Vec,Mat*,Mat*,MatStructure*,void*);
362 
363 /* --------- Solving systems of nonlinear equations --------------- */
364 PETSC_EXTERN_TYPEDEF typedef PetscErrorCode (*SNESFunction)(SNES,Vec,Vec,void*);
365 PETSC_EXTERN_TYPEDEF typedef PetscErrorCode (*SNESJacobian)(SNES,Vec,Mat*,Mat*,MatStructure*,void*);
366 PETSC_EXTERN_TYPEDEF typedef PetscErrorCode (*SNESObjective)(SNES,Vec,PetscReal *,void*);
367 PETSC_EXTERN_TYPEDEF typedef PetscErrorCode (*SNESGSFunction)(SNES,Vec,Vec,void*);
368 PETSC_EXTERN PetscErrorCode SNESSetFunction(SNES,Vec,SNESFunction,void*);
369 PETSC_EXTERN PetscErrorCode SNESGetFunction(SNES,Vec*,SNESFunction*,void**);
370 PETSC_EXTERN PetscErrorCode SNESComputeFunction(SNES,Vec,Vec);
371 PETSC_EXTERN PetscErrorCode SNESSetJacobian(SNES,Mat,Mat,SNESJacobian,void*);
372 PETSC_EXTERN PetscErrorCode SNESGetJacobian(SNES,Mat*,Mat*,SNESJacobian*,void**);
373 PETSC_EXTERN PetscErrorCode SNESDefaultObjectiveComputeFunctionFD(SNES,Vec,Vec,void*);
374 PETSC_EXTERN PetscErrorCode SNESDefaultComputeJacobian(SNES,Vec,Mat*,Mat*,MatStructure*,void*);
375 PETSC_EXTERN PetscErrorCode SNESDefaultComputeJacobianColor(SNES,Vec,Mat*,Mat*,MatStructure*,void*);
376 PETSC_EXTERN PetscErrorCode SNESSetComputeInitialGuess(SNES,PetscErrorCode (*)(SNES,Vec,void*),void*);
377 PETSC_EXTERN PetscErrorCode SNESSetPicard(SNES,Vec,SNESFunction,Mat,Mat,SNESJacobian,void*);
378 PETSC_EXTERN PetscErrorCode SNESGetPicard(SNES,Vec*,SNESFunction*,Mat*,Mat*,SNESJacobian*,void**);
379 PETSC_EXTERN PetscErrorCode SNESSetInitialFunction(SNES,Vec);
380 PETSC_EXTERN PetscErrorCode SNESSetInitialFunctionNorm(SNES,PetscReal);
381 
382 PETSC_EXTERN PetscErrorCode SNESSetObjective(SNES,SNESObjective,void*);
383 PETSC_EXTERN PetscErrorCode SNESGetObjective(SNES,SNESObjective*,void**);
384 PETSC_EXTERN PetscErrorCode SNESComputeObjective(SNES,Vec,PetscReal *);
385 
386 /*E
387     SNESNormType - Norm that is passed in the Krylov convergence
388        test routines.
389 
390    Level: advanced
391 
392    Support for these is highly dependent on the solver.
393 
394    Notes:
395    This is primarily used to turn off extra norm and function computation
396    when the solvers are composed.
397 
398 .seealso: SNESSolve(), SNESGetConvergedReason(), KSPSetNormType(),
399           KSPSetConvergenceTest(), KSPSetPCSide()
400 E*/
401 
402 typedef enum {SNES_NORM_DEFAULT            = -1,
403               SNES_NORM_NONE               =  0,
404               SNES_NORM_FUNCTION           =  1,
405               SNES_NORM_INITIAL_ONLY       =  2,
406               SNES_NORM_FINAL_ONLY         =  3,
407               SNES_NORM_INITIAL_FINAL_ONLY =  4} SNESNormType;
408 PETSC_EXTERN const char *const*const SNESNormTypes;
409 /*MC
410     SNES_NORM_NONE - Don't compute function and its L2 norm.
411 
412    Level: advanced
413 
414     Notes:
415     This is most useful for stationary solvers with a fixed number of iterations used as smoothers.
416 
417 .seealso: SNESNormType, SNESSetNormType(), SNES_NORM_DEFAULT
418 M*/
419 
420 /*MC
421     SNES_NORM_FUNCTION - Compute the function and its L2 norm at each iteration.
422 
423    Level: advanced
424 
425     Notes:
426     Most solvers will use this no matter what norm type is passed to them.
427 
428 .seealso: SNESNormType, SNESSetNormType(), SNES_NORM_NONE
429 M*/
430 
431 /*MC
432     SNES_NORM_INITIAL_ONLY - Compute the function and its L2 at iteration 0, but do not update it.
433 
434    Level: advanced
435 
436    Notes:
437    This method is useful in composed methods, when a true solution might actually be found before SNESSolve() is called.
438    This option enables the solve to abort on the zeroth iteration if this is the case.
439 
440    For solvers that require the computation of the L2 norm of the function as part of the method, this merely cancels
441    the norm computation at the last iteration (if possible).
442 
443 .seealso: SNESNormType, SNESSetNormType(), SNES_NORM_FINAL_ONLY, SNES_NORM_INITIAL_FINAL_ONLY
444 M*/
445 
446 /*MC
447     SNES_NORM_FINAL_ONLY - Compute the function and its L2 norm on only the final iteration.
448 
449    Level: advanced
450 
451    Notes:
452    For solvers that require the computation of the L2 norm of the function as part of the method, behaves
453    exactly as SNES_NORM_DEFAULT.  This method is useful when the function is gotten after SNESSolve and
454    used in subsequent computation for methods that do not need the norm computed during the rest of the
455    solution procedure.
456 
457 .seealso: SNESNormType, SNESSetNormType(), SNES_NORM_INITIAL_ONLY, SNES_NORM_INITIAL_FINAL_ONLY
458 M*/
459 
460 /*MC
461     SNES_NORM_INITIAL_FINAL_ONLY - Compute the function and its L2 norm on only the initial and final iterations.
462 
463    Level: advanced
464 
465    Notes:
466    This method combines the benefits of SNES_NORM_INITIAL_ONLY and SNES_NORM_FINAL_ONLY.
467 
468 .seealso: SNESNormType, SNESSetNormType(), SNES_NORM_SNES_NORM_INITIAL_ONLY, SNES_NORM_FINAL_ONLY
469 M*/
470 
471 
472 PETSC_EXTERN PetscErrorCode SNESSetNormType(SNES,SNESNormType);
473 PETSC_EXTERN PetscErrorCode SNESGetNormType(SNES,SNESNormType*);
474 
475 PETSC_EXTERN PetscErrorCode SNESSetGS(SNES,SNESGSFunction,void*);
476 PETSC_EXTERN PetscErrorCode SNESGetGS(SNES,SNESGSFunction*,void**);
477 PETSC_EXTERN PetscErrorCode SNESSetUseGS(SNES,PetscBool);
478 PETSC_EXTERN PetscErrorCode SNESGetUseGS(SNES,PetscBool *);
479 PETSC_EXTERN PetscErrorCode SNESSetGSSweeps(SNES,PetscInt);
480 PETSC_EXTERN PetscErrorCode SNESGetGSSweeps(SNES,PetscInt *);
481 PETSC_EXTERN PetscErrorCode SNESComputeGS(SNES,Vec,Vec);
482 
483 PETSC_EXTERN PetscErrorCode SNESShellGetContext(SNES,void**);
484 PETSC_EXTERN PetscErrorCode SNESShellSetContext(SNES,void*);
485 PETSC_EXTERN PetscErrorCode SNESShellSetSolve(SNES,PetscErrorCode (*)(SNES,Vec));
486 
487 /* --------- Routines specifically for line search methods --------------- */
488 
489 typedef struct _p_LineSearch* SNESLineSearch;
490 
491 /*S
492      SNESLineSearch - Abstract PETSc object that manages line-search operations
493 
494    Level: beginner
495 
496   Concepts: nonlinear solvers, line search
497 
498 .seealso:  SNESLineSearchCreate(), SNESLineSearchSetType(), SNES
499 S*/
500 
501 /*J
502     SNESLineSearchType - String with the name of a PETSc line search method
503 
504    Level: beginner
505 
506 .seealso: SNESLineSearchSetType(), SNES
507 J*/
508 
509 typedef const char* SNESLineSearchType;
510 #define SNESLINESEARCHBT                 "bt"
511 #define SNESLINESEARCHBASIC              "basic"
512 #define SNESLINESEARCHL2                 "l2"
513 #define SNESLINESEARCHCP                 "cp"
514 #define SNESLINESEARCHSHELL              "shell"
515 
516 PETSC_EXTERN PetscClassId SNESLINESEARCH_CLASSID;
517 PETSC_EXTERN PetscBool SNESLineSearchRegisterAllCalled;
518 PETSC_EXTERN PetscFList SNESLineSearchList;
519 PETSC_EXTERN PetscLogEvent SNESLineSearch_Apply;
520 
521 #define SNES_LINESEARCH_ORDER_LINEAR    1
522 #define SNES_LINESEARCH_ORDER_QUADRATIC 2
523 #define SNES_LINESEARCH_ORDER_CUBIC     3
524 
525 PETSC_EXTERN_TYPEDEF typedef PetscErrorCode (*SNESLineSearchPreCheckFunc)(SNESLineSearch,Vec,Vec,PetscBool*,void*);
526 PETSC_EXTERN_TYPEDEF typedef PetscErrorCode (*SNESLineSearchVIProjectFunc)(SNES,Vec);
527 PETSC_EXTERN_TYPEDEF typedef PetscErrorCode (*SNESLineSearchVINormFunc)(SNES,Vec,Vec,PetscReal *);
528 PETSC_EXTERN_TYPEDEF typedef PetscErrorCode (*SNESLineSearchPostCheckFunc)(SNESLineSearch,Vec,Vec,Vec,PetscBool *,PetscBool *,void*);
529 PETSC_EXTERN_TYPEDEF typedef PetscErrorCode (*SNESLineSearchApplyFunc)(SNESLineSearch);
530 PETSC_EXTERN_TYPEDEF typedef PetscErrorCode (*SNESLineSearchUserFunc)(SNESLineSearch, void *);
531 
532 PETSC_EXTERN PetscErrorCode SNESLineSearchCreate(MPI_Comm, SNESLineSearch*);
533 PETSC_EXTERN PetscErrorCode SNESLineSearchReset(SNESLineSearch);
534 PETSC_EXTERN PetscErrorCode SNESLineSearchView(SNESLineSearch,PetscViewer);
535 PETSC_EXTERN PetscErrorCode SNESLineSearchDestroy(SNESLineSearch *);
536 PETSC_EXTERN PetscErrorCode SNESLineSearchSetType(SNESLineSearch, SNESLineSearchType);
537 PETSC_EXTERN PetscErrorCode SNESLineSearchSetFromOptions(SNESLineSearch);
538 PETSC_EXTERN PetscErrorCode SNESLineSearchSetUp(SNESLineSearch);
539 PETSC_EXTERN PetscErrorCode SNESLineSearchApply(SNESLineSearch, Vec, Vec, PetscReal *, Vec);
540 PETSC_EXTERN PetscErrorCode SNESLineSearchPreCheck(SNESLineSearch,Vec,Vec,PetscBool *);
541 PETSC_EXTERN PetscErrorCode SNESLineSearchPostCheck(SNESLineSearch,Vec,Vec,Vec,PetscBool *,PetscBool *);
542 PETSC_EXTERN PetscErrorCode SNESLineSearchGetWork(SNESLineSearch, PetscInt);
543 
544 /* set the functions for precheck and postcheck */
545 
546 PETSC_EXTERN PetscErrorCode SNESLineSearchSetPreCheck(SNESLineSearch, SNESLineSearchPreCheckFunc, void *ctx);
547 PETSC_EXTERN PetscErrorCode SNESLineSearchSetPostCheck(SNESLineSearch, SNESLineSearchPostCheckFunc, void *ctx);
548 
549 PETSC_EXTERN PetscErrorCode SNESLineSearchGetPreCheck(SNESLineSearch, SNESLineSearchPreCheckFunc*, void **ctx);
550 PETSC_EXTERN PetscErrorCode SNESLineSearchGetPostCheck(SNESLineSearch, SNESLineSearchPostCheckFunc*, void **ctx);
551 
552 /* set the functions for VI-specific line search operations */
553 
554 PETSC_EXTERN PetscErrorCode SNESLineSearchSetVIFunctions(SNESLineSearch, SNESLineSearchVIProjectFunc, SNESLineSearchVINormFunc);
555 PETSC_EXTERN PetscErrorCode SNESLineSearchGetVIFunctions(SNESLineSearch, SNESLineSearchVIProjectFunc*, SNESLineSearchVINormFunc*);
556 
557 /* pointers to the associated SNES in order to be able to get the function evaluation out */
558 PETSC_EXTERN PetscErrorCode SNESLineSearchSetSNES(SNESLineSearch,SNES);
559 PETSC_EXTERN PetscErrorCode SNESLineSearchGetSNES(SNESLineSearch,SNES*);
560 
561 /* set and get the parameters and vectors */
562 PETSC_EXTERN PetscErrorCode SNESLineSearchGetTolerances(SNESLineSearch,PetscReal*,PetscReal*,PetscReal*,PetscReal*,PetscReal*,PetscInt*);
563 PETSC_EXTERN PetscErrorCode SNESLineSearchSetTolerances(SNESLineSearch,PetscReal,PetscReal,PetscReal,PetscReal,PetscReal,PetscInt);
564 
565 PETSC_EXTERN PetscErrorCode SNESLineSearchPreCheckPicard(SNESLineSearch,Vec,Vec,PetscBool*,void*);
566 
567 PETSC_EXTERN PetscErrorCode SNESLineSearchGetLambda(SNESLineSearch,PetscReal*);
568 PETSC_EXTERN PetscErrorCode SNESLineSearchSetLambda(SNESLineSearch,PetscReal);
569 
570 PETSC_EXTERN PetscErrorCode SNESLineSearchGetDamping(SNESLineSearch,PetscReal*);
571 PETSC_EXTERN PetscErrorCode SNESLineSearchSetDamping(SNESLineSearch,PetscReal);
572 
573 PETSC_EXTERN PetscErrorCode SNESLineSearchGetOrder(SNESLineSearch,PetscInt *order);
574 PETSC_EXTERN PetscErrorCode SNESLineSearchSetOrder(SNESLineSearch,PetscInt order);
575 
576 PETSC_EXTERN PetscErrorCode SNESLineSearchGetSuccess(SNESLineSearch, PetscBool*);
577 PETSC_EXTERN PetscErrorCode SNESLineSearchSetSuccess(SNESLineSearch, PetscBool);
578 
579 PETSC_EXTERN PetscErrorCode SNESLineSearchGetVecs(SNESLineSearch,Vec*,Vec*,Vec*,Vec*,Vec*);
580 PETSC_EXTERN PetscErrorCode SNESLineSearchSetVecs(SNESLineSearch,Vec,Vec,Vec,Vec,Vec);
581 
582 PETSC_EXTERN PetscErrorCode SNESLineSearchGetNorms(SNESLineSearch, PetscReal *, PetscReal *, PetscReal *);
583 PETSC_EXTERN PetscErrorCode SNESLineSearchSetNorms(SNESLineSearch, PetscReal, PetscReal, PetscReal);
584 PETSC_EXTERN PetscErrorCode SNESLineSearchComputeNorms(SNESLineSearch);
585 PETSC_EXTERN PetscErrorCode SNESLineSearchSetComputeNorms(SNESLineSearch, PetscBool);
586 
587 PETSC_EXTERN PetscErrorCode SNESLineSearchSetMonitor(SNESLineSearch, PetscBool);
588 PETSC_EXTERN PetscErrorCode SNESLineSearchGetMonitor(SNESLineSearch, PetscViewer*);
589 
590 PETSC_EXTERN PetscErrorCode SNESLineSearchAppendOptionsPrefix(SNESLineSearch, const char prefix[]);
591 PETSC_EXTERN PetscErrorCode SNESLineSearchGetOptionsPrefix(SNESLineSearch, const char *prefix[]);
592 
593 
594 /* Shell interface functions */
595 PETSC_EXTERN PetscErrorCode SNESLineSearchShellSetUserFunc(SNESLineSearch,SNESLineSearchUserFunc,void*);
596 PETSC_EXTERN PetscErrorCode SNESLineSearchShellGetUserFunc(SNESLineSearch,SNESLineSearchUserFunc*,void**);
597 
598 /* BT interface functions */
599 PETSC_EXTERN PetscErrorCode SNESLineSearchBTSetAlpha(SNESLineSearch, PetscReal);
600 PETSC_EXTERN PetscErrorCode SNESLineSearchBTGetAlpha(SNESLineSearch, PetscReal*);
601 
602 /*register line search types */
603 PETSC_EXTERN PetscErrorCode SNESLineSearchRegister(const char[],const char[],const char[],PetscErrorCode(*)(SNESLineSearch));
604 PETSC_EXTERN PetscErrorCode SNESLineSearchRegisterAll(const char path[]);
605 PETSC_EXTERN PetscErrorCode SNESLineSearchRegisterDestroy(void);
606 
607 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
608 #define SNESLineSearchRegisterDynamic(a,b,c,d) SNESLineSearchRegister(a,b,c,0)
609 #else
610 #define SNESLineSearchRegisterDynamic(a,b,c,d) SNESLineSearchRegister(a,b,c,d)
611 #endif
612 
613 /* Routines for VI solver */
614 PETSC_EXTERN PetscErrorCode SNESVISetVariableBounds(SNES,Vec,Vec);
615 PETSC_EXTERN PetscErrorCode SNESVISetComputeVariableBounds(SNES, PetscErrorCode (*)(SNES,Vec,Vec));
616 PETSC_EXTERN PetscErrorCode SNESVIGetInactiveSet(SNES,IS*);
617 PETSC_EXTERN PetscErrorCode SNESVIGetActiveSetIS(SNES,Vec,Vec,IS*);
618 PETSC_EXTERN PetscErrorCode SNESVIComputeInactiveSetFnorm(SNES,Vec,Vec,PetscReal*);
619 PETSC_EXTERN PetscErrorCode SNESVISetRedundancyCheck(SNES,PetscErrorCode(*)(SNES,IS,IS*,void*),void*);
620 #define SNES_VI_INF   1.0e20
621 #define SNES_VI_NINF -1.0e20
622 
623 PETSC_EXTERN PetscErrorCode SNESTestLocalMin(SNES);
624 
625 /* Should this routine be private? */
626 PETSC_EXTERN PetscErrorCode SNESComputeJacobian(SNES,Vec,Mat*,Mat*,MatStructure*);
627 
628 PETSC_EXTERN PetscErrorCode SNESSetDM(SNES,DM);
629 PETSC_EXTERN PetscErrorCode SNESGetDM(SNES,DM*);
630 PETSC_EXTERN PetscErrorCode SNESSetPC(SNES,SNES);
631 PETSC_EXTERN PetscErrorCode SNESGetPC(SNES,SNES*);
632 PETSC_EXTERN PetscErrorCode SNESSetPCSide(SNES,PCSide);
633 PETSC_EXTERN PetscErrorCode SNESGetPCSide(SNES,PCSide*);
634 PETSC_EXTERN PetscErrorCode SNESSetSNESLineSearch(SNES,SNESLineSearch);
635 PETSC_EXTERN PetscErrorCode SNESGetSNESLineSearch(SNES,SNESLineSearch*);
636 PETSC_EXTERN PetscErrorCode SNESRestrictHookAdd(SNES,PetscErrorCode (*)(SNES,SNES,void*),void*);
637 PETSC_EXTERN PetscErrorCode SNESRestrictHooksRun(SNES,SNES);
638 
639 PETSC_EXTERN PetscErrorCode SNESSetUpMatrices(SNES);
640 PETSC_EXTERN PetscErrorCode DMSNESSetFunction(DM,PetscErrorCode(*)(SNES,Vec,Vec,void*),void*);
641 PETSC_EXTERN PetscErrorCode DMSNESGetFunction(DM,PetscErrorCode(**)(SNES,Vec,Vec,void*),void**);
642 PETSC_EXTERN PetscErrorCode DMSNESSetGS(DM,PetscErrorCode(*)(SNES,Vec,Vec,void*),void*);
643 PETSC_EXTERN PetscErrorCode DMSNESGetGS(DM,PetscErrorCode(**)(SNES,Vec,Vec,void*),void**);
644 PETSC_EXTERN PetscErrorCode DMSNESSetJacobian(DM,PetscErrorCode(*)(SNES,Vec,Mat*,Mat*,MatStructure*,void*),void*);
645 PETSC_EXTERN PetscErrorCode DMSNESGetJacobian(DM,PetscErrorCode(**)(SNES,Vec,Mat*,Mat*,MatStructure*,void*),void**);
646 PETSC_EXTERN PetscErrorCode DMSNESSetPicard(DM,PetscErrorCode(*)(SNES,Vec,Vec,void*),PetscErrorCode(*)(SNES,Vec,Mat*,Mat*,MatStructure*,void*),void*);
647 PETSC_EXTERN PetscErrorCode DMSNESGetPicard(DM,PetscErrorCode(**)(SNES,Vec,Vec,void*),PetscErrorCode(**)(SNES,Vec,Mat*,Mat*,MatStructure*,void*),void**);
648 PETSC_EXTERN PetscErrorCode DMSNESSetObjective(DM,SNESObjective,void*);
649 PETSC_EXTERN PetscErrorCode DMSNESGetObjective(DM,SNESObjective*,void**);
650 
651 PETSC_EXTERN PetscErrorCode DMSNESSetBlockFunction(DM,PetscErrorCode(*)(SNES,Vec,Vec,void*),void*);
652 PETSC_EXTERN PetscErrorCode DMSNESGetBlockFunction(DM,PetscErrorCode(**)(SNES,Vec,Vec,void*),void**);
653 PETSC_EXTERN PetscErrorCode DMSNESSetBlockJacobian(DM,PetscErrorCode(*)(SNES,Vec,Mat*,Mat*,MatStructure*,void*),void*);
654 PETSC_EXTERN PetscErrorCode DMSNESGetBlockJacobian(DM,PetscErrorCode(**)(SNES,Vec,Mat*,Mat*,MatStructure*,void*),void**);
655 
656 PETSC_EXTERN_TYPEDEF typedef PetscErrorCode (*DMDASNESFunction)(DMDALocalInfo*,void*,void*,void*);
657 PETSC_EXTERN_TYPEDEF typedef PetscErrorCode (*DMDASNESJacobian)(DMDALocalInfo*,void*,Mat,Mat,MatStructure*,void*);
658 PETSC_EXTERN_TYPEDEF typedef PetscErrorCode (*DMDASNESObjective)(DMDALocalInfo*,void*,PetscReal*,void*);
659 
660 PETSC_EXTERN PetscErrorCode DMDASNESSetFunctionLocal(DM,InsertMode,DMDASNESFunction,void*);
661 PETSC_EXTERN PetscErrorCode DMDASNESSetJacobianLocal(DM,DMDASNESJacobian,void*);
662 PETSC_EXTERN PetscErrorCode DMDASNESSetObjectiveLocal(DM,DMDASNESObjective,void*);
663 
664 PETSC_EXTERN PetscErrorCode SNESComputeLocalBlockFunction_DMDA(SNES,Vec,Vec,void *);
665 PETSC_EXTERN PetscErrorCode SNESComputeLocalBlockJacobian_DMDA(SNES,Vec,Mat*,Mat*,MatStructure*,void*);
666 
667 /* Routines for Multiblock solver */
668 PETSC_EXTERN PetscErrorCode SNESMultiblockSetFields(SNES, const char [], PetscInt, const PetscInt *);
669 PETSC_EXTERN PetscErrorCode SNESMultiblockSetIS(SNES, const char [], IS);
670 PETSC_EXTERN PetscErrorCode SNESMultiblockSetBlockSize(SNES, PetscInt);
671 PETSC_EXTERN PetscErrorCode SNESMultiblockSetType(SNES, PCCompositeType);
672 
673 /*J
674     SNESMSType - String with the name of a PETSc SNESMS method.
675 
676    Level: intermediate
677 
678 .seealso: SNESMSSetType(), SNES
679 J*/
680 typedef const char* SNESMSType;
681 #define SNESMSM62       "m62"
682 #define SNESMSEULER     "euler"
683 #define SNESMSJAMESON83 "jameson83"
684 #define SNESMSVLTP21    "vltp21"
685 #define SNESMSVLTP31    "vltp31"
686 #define SNESMSVLTP41    "vltp41"
687 #define SNESMSVLTP51    "vltp51"
688 #define SNESMSVLTP61    "vltp61"
689 
690 PETSC_EXTERN PetscErrorCode SNESMSRegister(SNESMSType,PetscInt,PetscInt,PetscReal,const PetscReal[],const PetscReal[],const PetscReal[]);
691 PETSC_EXTERN PetscErrorCode SNESMSSetType(SNES,SNESMSType);
692 PETSC_EXTERN PetscErrorCode SNESMSFinalizePackage(void);
693 PETSC_EXTERN PetscErrorCode SNESMSInitializePackage(const char path[]);
694 PETSC_EXTERN PetscErrorCode SNESMSRegisterDestroy(void);
695 PETSC_EXTERN PetscErrorCode SNESMSRegisterAll(void);
696 
697 /* routines for NGMRES solver */
698 
699 typedef enum {
700   SNES_NGMRES_RESTART_NONE       = 0,
701   SNES_NGMRES_RESTART_PERIODIC   = 1,
702   SNES_NGMRES_RESTART_DIFFERENCE = 2} SNESNGMRESRestartType;
703 PETSC_EXTERN const char *const SNESNGMRESRestartTypes[];
704 
705 typedef enum {
706   SNES_NGMRES_SELECT_NONE       = 0,
707   SNES_NGMRES_SELECT_DIFFERENCE = 1,
708   SNES_NGMRES_SELECT_LINESEARCH = 2} SNESNGMRESSelectType;
709 PETSC_EXTERN const char *const SNESNGMRESSelectTypes[];
710 
711 PETSC_EXTERN PetscErrorCode SNESNGMRESSetRestartType(SNES, SNESNGMRESRestartType);
712 PETSC_EXTERN PetscErrorCode SNESNGMRESSetSelectType(SNES, SNESNGMRESSelectType);
713 
714 /* routines for NCG solver */
715 
716 typedef enum {
717   SNES_NCG_FR    = 0,
718   SNES_NCG_PRP   = 1,
719   SNES_NCG_HS    = 2,
720   SNES_NCG_DY    = 3,
721   SNES_NCG_CD    = 4} SNESNCGType;
722 PETSC_EXTERN const char *const SNESNCGTypes[];
723 
724 PETSC_EXTERN PetscErrorCode SNESNCGSetType(SNES, SNESNCGType);
725 
726 typedef enum {SNES_QN_SCALE_NONE       = 0,
727               SNES_QN_SCALE_SHANNO     = 1,
728               SNES_QN_SCALE_LINESEARCH = 2,
729               SNES_QN_SCALE_JACOBIAN   = 3} SNESQNScaleType;
730 PETSC_EXTERN const char *const SNESQNScaleTypes[];
731 typedef enum {SNES_QN_RESTART_NONE     = 0,
732               SNES_QN_RESTART_POWELL   = 1,
733               SNES_QN_RESTART_PERIODIC = 2} SNESQNRestartType;
734 PETSC_EXTERN const char *const SNESQNRestartTypes[];
735 
736 PETSC_EXTERN PetscErrorCode SNESQNSetScaleType(SNES, SNESQNScaleType);
737 PETSC_EXTERN PetscErrorCode SNESQNSetRestartType(SNES, SNESQNRestartType);
738 
739 
740 #endif
741