xref: /petsc/src/snes/impls/ms/ms.c (revision a95d84e0230cb0d652d808aead973c41ec535430)
1 #include <petsc-private/snesimpl.h>   /*I "petscsnes.h" I*/
2 
3 static SNESMSType SNESMSDefault = SNESMSM62;
4 static PetscBool  SNESMSRegisterAllCalled;
5 static PetscBool  SNESMSPackageInitialized;
6 
7 typedef struct _SNESMSTableau *SNESMSTableau;
8 struct _SNESMSTableau {
9   char      *name;
10   PetscInt  nstages;            /* Number of stages */
11   PetscInt  nregisters;         /* Number of registers */
12   PetscReal stability;          /* Scaled stability region */
13   PetscReal *gamma;             /* Coefficients of 3S* method */
14   PetscReal *delta;             /* Coefficients of 3S* method */
15   PetscReal *betasub;           /* Subdiagonal of beta in Shu-Osher form */
16 };
17 
18 typedef struct _SNESMSTableauLink *SNESMSTableauLink;
19 struct _SNESMSTableauLink {
20   struct _SNESMSTableau tab;
21   SNESMSTableauLink     next;
22 };
23 static SNESMSTableauLink SNESMSTableauList;
24 
25 typedef struct {
26   SNESMSTableau tableau;        /* Tableau in low-storage form */
27   PetscReal     damping;        /* Damping parameter, like length of (pseudo) time step */
28   PetscBool     norms;          /* Compute norms, usually only for monitoring purposes */
29 } SNES_MS;
30 
31 #undef __FUNCT__
32 #define __FUNCT__ "SNESMSRegisterAll"
33 /*@C
34   SNESMSRegisterAll - Registers all of the multi-stage methods in SNESMS
35 
36   Not Collective, but should be called by all processes which will need the schemes to be registered
37 
38   Level: advanced
39 
40 .keywords: SNES, SNESMS, register, all
41 
42 .seealso:  SNESMSRegisterDestroy()
43 @*/
44 PetscErrorCode SNESMSRegisterAll(void)
45 {
46   PetscErrorCode ierr;
47 
48   PetscFunctionBegin;
49   if (SNESMSRegisterAllCalled) PetscFunctionReturn(0);
50   SNESMSRegisterAllCalled = PETSC_TRUE;
51 
52   {
53     PetscReal gamma[3][1] = {{1.0},{0.0},{0.0}};
54     PetscReal delta[1]    = {0.0};
55     PetscReal betasub[1]  = {1.0};
56     ierr = SNESMSRegister(SNESMSEULER,1,3,1.0,&gamma[0][0],delta,betasub);CHKERRQ(ierr);
57   }
58 
59   {
60     PetscReal gamma[3][6] = {
61       {0.0000000000000000E+00,  -7.0304722367110606E-01, -1.9836719667506464E-01, -1.6023843981863788E+00, 9.4483822882855284E-02,  -1.4204296130641869E-01},
62       {1.0000000000000000E+00,  1.1111025767083920E+00,  5.6150921583923230E-01,  7.4151723494934041E-01,  3.1714538168600587E-01,  4.6479276238548706E-01},
63       {0.0000000000000000E+00,  0.0000000000000000E+00,  0.0000000000000000E+00,  6.7968174970583317E-01,  -4.1755042846051737E-03, -1.9115668129923846E-01}
64     };
65     PetscReal delta[6]   = {1.0000000000000000E+00, 5.3275427433201750E-01, 6.0143544663985238E-01, 4.5874077053842177E-01, 2.7544386906104651E-01, 0.0000000000000000E+00};
66     PetscReal betasub[6] = {8.4753115429481929E-01, 7.4018896368655618E-01, 6.5963574086583309E-03, 4.6747795645517759E-01, 1.3314545813643919E-01, 5.3260800028018784E-01};
67     ierr = SNESMSRegister(SNESMSM62,6,3,1.0,&gamma[0][0],delta,betasub);CHKERRQ(ierr);
68   }
69   {
70     PetscReal gamma[3][4] = {{0,0,0,0},{0,0,0,0},{1,1,1,1}};
71     PetscReal delta[4]    = {0,0,0,0};
72     PetscReal betasub[4]  = {0.25, 0.5, 0.55, 1.0};
73     ierr = SNESMSRegister(SNESMSJAMESON83,4,3,1.0,&gamma[0][0],delta,betasub);CHKERRQ(ierr);
74   }
75   {                             /* Van Leer, Tai, and Powell (1989) 2 stage, order 1 */
76     PetscReal gamma[3][2] = {{0,0},{0,0},{1,1}};
77     PetscReal delta[2]    = {0,0};
78     PetscReal betasub[2]  = {0.3333,1.0};
79     ierr = SNESMSRegister(SNESMSVLTP21,2,3,1.0,&gamma[0][0],delta,betasub);CHKERRQ(ierr);
80   }
81   {                             /* Van Leer, Tai, and Powell (1989) 3 stage, order 1 */
82     PetscReal gamma[3][3] = {{0,0,0},{0,0,0},{1,1,1}};
83     PetscReal delta[3]    = {0,0,0};
84     PetscReal betasub[3]  = {0.1481,0.4000,1.0};
85     ierr = SNESMSRegister(SNESMSVLTP31,3,3,1.5,&gamma[0][0],delta,betasub);CHKERRQ(ierr);
86   }
87   {                             /* Van Leer, Tai, and Powell (1989) 4 stage, order 1 */
88     PetscReal gamma[3][4] = {{0,0,0,0},{0,0,0,0},{1,1,1,1}};
89     PetscReal delta[4]    = {0,0,0,0};
90     PetscReal betasub[4]  = {0.0833,0.2069,0.4265,1.0};
91     ierr = SNESMSRegister(SNESMSVLTP41,4,3,2.0,&gamma[0][0],delta,betasub);CHKERRQ(ierr);
92   }
93   {                             /* Van Leer, Tai, and Powell (1989) 5 stage, order 1 */
94     PetscReal gamma[3][5] = {{0,0,0,0,0},{0,0,0,0,0},{1,1,1,1,1}};
95     PetscReal delta[5]    = {0,0,0,0,0};
96     PetscReal betasub[5]  = {0.0533,0.1263,0.2375,0.4414,1.0};
97     ierr = SNESMSRegister(SNESMSVLTP51,5,3,2.5,&gamma[0][0],delta,betasub);CHKERRQ(ierr);
98   }
99   {                             /* Van Leer, Tai, and Powell (1989) 6 stage, order 1 */
100     PetscReal gamma[3][6] = {{0,0,0,0,0,0},{0,0,0,0,0,0},{1,1,1,1,1,1}};
101     PetscReal delta[6]    = {0,0,0,0,0,0};
102     PetscReal betasub[6]  = {0.0370,0.0851,0.1521,0.2562,0.4512,1.0};
103     ierr = SNESMSRegister(SNESMSVLTP61,6,3,3.0,&gamma[0][0],delta,betasub);CHKERRQ(ierr);
104   }
105   PetscFunctionReturn(0);
106 }
107 
108 #undef __FUNCT__
109 #define __FUNCT__ "SNESMSRegisterDestroy"
110 /*@C
111    SNESMSRegisterDestroy - Frees the list of schemes that were registered by TSRosWRegister().
112 
113    Not Collective
114 
115    Level: advanced
116 
117 .keywords: TSRosW, register, destroy
118 .seealso: TSRosWRegister(), TSRosWRegisterAll(), TSRosWRegister()
119 @*/
120 PetscErrorCode SNESMSRegisterDestroy(void)
121 {
122   PetscErrorCode    ierr;
123   SNESMSTableauLink link;
124 
125   PetscFunctionBegin;
126   while ((link = SNESMSTableauList)) {
127     SNESMSTableau t = &link->tab;
128     SNESMSTableauList = link->next;
129 
130     ierr = PetscFree3(t->gamma,t->delta,t->betasub);CHKERRQ(ierr);
131     ierr = PetscFree(t->name);CHKERRQ(ierr);
132     ierr = PetscFree(link);CHKERRQ(ierr);
133   }
134   SNESMSRegisterAllCalled = PETSC_FALSE;
135   PetscFunctionReturn(0);
136 }
137 
138 #undef __FUNCT__
139 #define __FUNCT__ "SNESMSInitializePackage"
140 /*@C
141   SNESMSInitializePackage - This function initializes everything in the SNESMS package. It is called
142   from PetscDLLibraryRegister() when using dynamic libraries, and on the first call to SNESCreate_MS()
143   when using static libraries.
144 
145   Level: developer
146 
147 .keywords: SNES, SNESMS, initialize, package
148 .seealso: PetscInitialize()
149 @*/
150 PetscErrorCode SNESMSInitializePackage(void)
151 {
152   PetscErrorCode ierr;
153 
154   PetscFunctionBegin;
155   if (SNESMSPackageInitialized) PetscFunctionReturn(0);
156   SNESMSPackageInitialized = PETSC_TRUE;
157 
158   ierr = SNESMSRegisterAll();CHKERRQ(ierr);
159   ierr = PetscRegisterFinalize(SNESMSFinalizePackage);CHKERRQ(ierr);
160   PetscFunctionReturn(0);
161 }
162 
163 #undef __FUNCT__
164 #define __FUNCT__ "SNESMSFinalizePackage"
165 /*@C
166   SNESMSFinalizePackage - This function destroys everything in the SNESMS package. It is
167   called from PetscFinalize().
168 
169   Level: developer
170 
171 .keywords: Petsc, destroy, package
172 .seealso: PetscFinalize()
173 @*/
174 PetscErrorCode SNESMSFinalizePackage(void)
175 {
176   PetscErrorCode ierr;
177 
178   PetscFunctionBegin;
179   SNESMSPackageInitialized = PETSC_FALSE;
180 
181   ierr = SNESMSRegisterDestroy();CHKERRQ(ierr);
182   PetscFunctionReturn(0);
183 }
184 
185 #undef __FUNCT__
186 #define __FUNCT__ "SNESMSRegister"
187 /*@C
188    SNESMSRegister - register a multistage scheme
189 
190    Not Collective, but the same schemes should be registered on all processes on which they will be used
191 
192    Input Parameters:
193 +  name - identifier for method
194 .  nstages - number of stages
195 .  nregisters - number of registers used by low-storage implementation
196 .  gamma - coefficients, see Ketcheson's paper
197 .  delta - coefficients, see Ketcheson's paper
198 -  betasub - subdiagonal of Shu-Osher form
199 
200    Notes:
201    The notation is described in Ketcheson (2010) Runge-Kutta methods with minimum storage implementations.
202 
203    Level: advanced
204 
205 .keywords: SNES, register
206 
207 .seealso: SNESMS
208 @*/
209 PetscErrorCode SNESMSRegister(SNESMSType name,PetscInt nstages,PetscInt nregisters,PetscReal stability,const PetscReal gamma[],const PetscReal delta[],const PetscReal betasub[])
210 {
211   PetscErrorCode    ierr;
212   SNESMSTableauLink link;
213   SNESMSTableau     t;
214 
215   PetscFunctionBegin;
216   PetscValidCharPointer(name,1);
217   if (nstages < 1) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Must have at least one stage");
218   if (nregisters != 3) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Only support for methods written in 3-register form");
219   PetscValidPointer(gamma,4);
220   PetscValidPointer(delta,5);
221   PetscValidPointer(betasub,6);
222 
223   ierr          = PetscMalloc(sizeof(*link),&link);CHKERRQ(ierr);
224   ierr          = PetscMemzero(link,sizeof(*link));CHKERRQ(ierr);
225   t             = &link->tab;
226   ierr          = PetscStrallocpy(name,&t->name);CHKERRQ(ierr);
227   t->nstages    = nstages;
228   t->nregisters = nregisters;
229   t->stability  = stability;
230 
231   ierr = PetscMalloc3(nstages*nregisters,&t->gamma,nstages,&t->delta,nstages,&t->betasub);CHKERRQ(ierr);
232   ierr = PetscMemcpy(t->gamma,gamma,nstages*nregisters*sizeof(PetscReal));CHKERRQ(ierr);
233   ierr = PetscMemcpy(t->delta,delta,nstages*sizeof(PetscReal));CHKERRQ(ierr);
234   ierr = PetscMemcpy(t->betasub,betasub,nstages*sizeof(PetscReal));CHKERRQ(ierr);
235 
236   link->next        = SNESMSTableauList;
237   SNESMSTableauList = link;
238   PetscFunctionReturn(0);
239 }
240 
241 #undef __FUNCT__
242 #define __FUNCT__ "SNESMSStep_3Sstar"
243 /*
244   X - initial state, updated in-place.
245   F - residual, computed at the initial X on input
246 */
247 static PetscErrorCode SNESMSStep_3Sstar(SNES snes,Vec X,Vec F)
248 {
249   PetscErrorCode  ierr;
250   SNES_MS         *ms    = (SNES_MS*)snes->data;
251   SNESMSTableau   t      = ms->tableau;
252   const PetscReal *gamma = t->gamma,*delta = t->delta,*betasub = t->betasub;
253   Vec             S1,S2,S3,Y;
254   PetscInt        i,nstages = t->nstages;;
255 
256 
257   PetscFunctionBegin;
258   Y    = snes->work[0];
259   S1   = X;
260   S2   = snes->work[1];
261   S3   = snes->work[2];
262   ierr = VecZeroEntries(S2);CHKERRQ(ierr);
263   ierr = VecCopy(X,S3);CHKERRQ(ierr);
264   for (i=0; i<nstages; i++) {
265     Vec         Ss[4];
266     PetscScalar scoeff[4];
267 
268     Ss[0] = S1; Ss[1] = S2; Ss[2] = S3; Ss[3] = Y;
269 
270     scoeff[0] = gamma[0*nstages+i]-(PetscReal)1.0;
271     scoeff[1] = gamma[1*nstages+i];
272     scoeff[2] = gamma[2*nstages+i];
273     scoeff[3] = -betasub[i]*ms->damping;
274 
275     ierr = VecAXPY(S2,delta[i],S1);CHKERRQ(ierr);
276     if (i>0) {
277       ierr = SNESComputeFunction(snes,S1,F);CHKERRQ(ierr);
278       if (snes->domainerror) {
279         snes->reason = SNES_DIVERGED_FUNCTION_DOMAIN;
280         PetscFunctionReturn(0);
281       }
282     }
283     ierr = KSPSolve(snes->ksp,F,Y);CHKERRQ(ierr);
284     ierr = VecMAXPY(S1,4,scoeff,Ss);CHKERRQ(ierr);
285   }
286   PetscFunctionReturn(0);
287 }
288 
289 #undef __FUNCT__
290 #define __FUNCT__ "SNESSolve_MS"
291 static PetscErrorCode SNESSolve_MS(SNES snes)
292 {
293   SNES_MS        *ms = (SNES_MS*)snes->data;
294   Vec            X   = snes->vec_sol,F = snes->vec_func;
295   PetscReal      fnorm;
296   PetscInt       i;
297   PetscErrorCode ierr;
298 
299   PetscFunctionBegin;
300   ierr = PetscCitationsRegister(SNESCitation,&SNEScite);CHKERRQ(ierr);
301   snes->reason = SNES_CONVERGED_ITERATING;
302   ierr         = PetscObjectSAWsTakeAccess((PetscObject)snes);CHKERRQ(ierr);
303   snes->iter   = 0;
304   snes->norm   = 0.;
305   ierr         = PetscObjectSAWsGrantAccess((PetscObject)snes);CHKERRQ(ierr);
306   if (!snes->vec_func_init_set) {
307     ierr = SNESComputeFunction(snes,X,F);CHKERRQ(ierr);
308     if (snes->domainerror) {
309       snes->reason = SNES_DIVERGED_FUNCTION_DOMAIN;
310       PetscFunctionReturn(0);
311     }
312   } else snes->vec_func_init_set = PETSC_FALSE;
313 
314   if (snes->jacobian) {         /* This method does not require a Jacobian, but it is usually preconditioned by PBJacobi */
315     ierr = SNESComputeJacobian(snes,snes->vec_sol,snes->jacobian,snes->jacobian_pre);CHKERRQ(ierr);
316   }
317   if (ms->norms) {
318     ierr = VecNorm(F,NORM_2,&fnorm);CHKERRQ(ierr); /* fnorm <- ||F||  */
319     if (PetscIsInfOrNanReal(fnorm)) {
320       snes->reason = SNES_DIVERGED_FNORM_NAN;
321       PetscFunctionReturn(0);
322     }
323     /* Monitor convergence */
324     ierr       = PetscObjectSAWsTakeAccess((PetscObject)snes);CHKERRQ(ierr);
325     snes->iter = 0;
326     snes->norm = fnorm;
327     ierr       = PetscObjectSAWsGrantAccess((PetscObject)snes);CHKERRQ(ierr);
328     ierr       = SNESLogConvergenceHistory(snes,snes->norm,0);CHKERRQ(ierr);
329     ierr       = SNESMonitor(snes,snes->iter,snes->norm);CHKERRQ(ierr);
330 
331     /* Test for convergence */
332     ierr = (*snes->ops->converged)(snes,snes->iter,0.0,0.0,fnorm,&snes->reason,snes->cnvP);CHKERRQ(ierr);
333     if (snes->reason) PetscFunctionReturn(0);
334   }
335 
336   /* Call general purpose update function */
337   if (snes->ops->update) {
338     ierr = (*snes->ops->update)(snes,snes->iter);CHKERRQ(ierr);
339   }
340   for (i = 0; i < snes->max_its; i++) {
341     ierr = SNESMSStep_3Sstar(snes,X,F);CHKERRQ(ierr);
342 
343     if (i+1 < snes->max_its || ms->norms) {
344       ierr = SNESComputeFunction(snes,X,F);CHKERRQ(ierr);
345       if (snes->domainerror) {
346         snes->reason = SNES_DIVERGED_FUNCTION_DOMAIN;
347         PetscFunctionReturn(0);
348       }
349     }
350 
351     if (ms->norms) {
352       ierr = VecNorm(F,NORM_2,&fnorm);CHKERRQ(ierr); /* fnorm <- ||F||  */
353       if (PetscIsInfOrNanReal(fnorm)) {
354         snes->reason = SNES_DIVERGED_FNORM_NAN;
355         PetscFunctionReturn(0);
356       }
357 
358       /* Monitor convergence */
359       ierr       = PetscObjectSAWsTakeAccess((PetscObject)snes);CHKERRQ(ierr);
360       snes->iter = i+1;
361       snes->norm = fnorm;
362       ierr       = PetscObjectSAWsGrantAccess((PetscObject)snes);CHKERRQ(ierr);
363       ierr       = SNESLogConvergenceHistory(snes,snes->norm,0);CHKERRQ(ierr);
364       ierr       = SNESMonitor(snes,snes->iter,snes->norm);CHKERRQ(ierr);
365 
366       /* Test for convergence */
367       ierr = (*snes->ops->converged)(snes,snes->iter,0.0,0.0,fnorm,&snes->reason,snes->cnvP);CHKERRQ(ierr);
368       if (snes->reason) PetscFunctionReturn(0);
369     }
370 
371     /* Call general purpose update function */
372     if (snes->ops->update) {
373       ierr = (*snes->ops->update)(snes, snes->iter);CHKERRQ(ierr);
374     }
375   }
376   if (!snes->reason) snes->reason = SNES_CONVERGED_ITS;
377   PetscFunctionReturn(0);
378 }
379 
380 #undef __FUNCT__
381 #define __FUNCT__ "SNESSetUp_MS"
382 static PetscErrorCode SNESSetUp_MS(SNES snes)
383 {
384   SNES_MS        *ms = (SNES_MS*)snes->data;
385   PetscErrorCode ierr;
386 
387   PetscFunctionBegin;
388   if (!ms->tableau) {ierr = SNESMSSetType(snes,SNESMSDefault);CHKERRQ(ierr);}
389   ierr = SNESSetWorkVecs(snes,3);CHKERRQ(ierr);
390   ierr = SNESSetUpMatrices(snes);CHKERRQ(ierr);
391   PetscFunctionReturn(0);
392 }
393 
394 #undef __FUNCT__
395 #define __FUNCT__ "SNESReset_MS"
396 static PetscErrorCode SNESReset_MS(SNES snes)
397 {
398 
399   PetscFunctionBegin;
400   PetscFunctionReturn(0);
401 }
402 
403 #undef __FUNCT__
404 #define __FUNCT__ "SNESDestroy_MS"
405 static PetscErrorCode SNESDestroy_MS(SNES snes)
406 {
407   PetscErrorCode ierr;
408 
409   PetscFunctionBegin;
410   ierr = PetscFree(snes->data);CHKERRQ(ierr);
411   ierr = PetscObjectComposeFunction((PetscObject)snes,"",NULL);CHKERRQ(ierr);
412   PetscFunctionReturn(0);
413 }
414 
415 #undef __FUNCT__
416 #define __FUNCT__ "SNESView_MS"
417 static PetscErrorCode SNESView_MS(SNES snes,PetscViewer viewer)
418 {
419   PetscBool      iascii;
420   PetscErrorCode ierr;
421   SNES_MS        *ms = (SNES_MS*)snes->data;
422 
423   PetscFunctionBegin;
424   ierr = PetscObjectTypeCompare((PetscObject) viewer, PETSCVIEWERASCII, &iascii);CHKERRQ(ierr);
425   if (iascii) {
426     SNESMSTableau tab = ms->tableau;
427     ierr = PetscViewerASCIIPrintf(viewer,"  multi-stage method type: %s\n",tab ? tab->name : "not yet set");CHKERRQ(ierr);
428   }
429   PetscFunctionReturn(0);
430 }
431 
432 #undef __FUNCT__
433 #define __FUNCT__ "SNESSetFromOptions_MS"
434 static PetscErrorCode SNESSetFromOptions_MS(SNES snes)
435 {
436   SNES_MS        *ms = (SNES_MS*)snes->data;
437   PetscErrorCode ierr;
438 
439   PetscFunctionBegin;
440   ierr = PetscOptionsHead("SNES MS options");CHKERRQ(ierr);
441   {
442     SNESMSTableauLink link;
443     PetscInt          count,choice;
444     PetscBool         flg;
445     const char        **namelist;
446     char              mstype[256];
447 
448     ierr = PetscStrncpy(mstype,SNESMSDefault,sizeof(mstype));CHKERRQ(ierr);
449     for (link=SNESMSTableauList,count=0; link; link=link->next,count++) ;
450     ierr = PetscMalloc1(count,&namelist);CHKERRQ(ierr);
451     for (link=SNESMSTableauList,count=0; link; link=link->next,count++) namelist[count] = link->tab.name;
452     ierr = PetscOptionsEList("-snes_ms_type","Multistage smoother type","SNESMSSetType",(const char*const*)namelist,count,mstype,&choice,&flg);CHKERRQ(ierr);
453     ierr = SNESMSSetType(snes,flg ? namelist[choice] : mstype);CHKERRQ(ierr);
454     ierr = PetscFree(namelist);CHKERRQ(ierr);
455     ierr = PetscOptionsReal("-snes_ms_damping","Damping for multistage method","SNESMSSetDamping",ms->damping,&ms->damping,NULL);CHKERRQ(ierr);
456     ierr = PetscOptionsBool("-snes_ms_norms","Compute norms for monitoring","none",ms->norms,&ms->norms,NULL);CHKERRQ(ierr);
457   }
458   ierr = PetscOptionsTail();CHKERRQ(ierr);
459   PetscFunctionReturn(0);
460 }
461 
462 #undef __FUNCT__
463 #define __FUNCT__ "SNESMSSetType_MS"
464 PetscErrorCode  SNESMSSetType_MS(SNES snes,SNESMSType mstype)
465 {
466   PetscErrorCode    ierr;
467   SNES_MS           *ms = (SNES_MS*)snes->data;
468   SNESMSTableauLink link;
469   PetscBool         match;
470 
471   PetscFunctionBegin;
472   if (ms->tableau) {
473     ierr = PetscStrcmp(ms->tableau->name,mstype,&match);CHKERRQ(ierr);
474     if (match) PetscFunctionReturn(0);
475   }
476   for (link = SNESMSTableauList; link; link=link->next) {
477     ierr = PetscStrcmp(link->tab.name,mstype,&match);CHKERRQ(ierr);
478     if (match) {
479       ierr        = SNESReset_MS(snes);CHKERRQ(ierr);
480       ms->tableau = &link->tab;
481       PetscFunctionReturn(0);
482     }
483   }
484   SETERRQ1(PetscObjectComm((PetscObject)snes),PETSC_ERR_ARG_UNKNOWN_TYPE,"Could not find '%s'",mstype);
485   PetscFunctionReturn(0);
486 }
487 
488 #undef __FUNCT__
489 #define __FUNCT__ "SNESMSSetType"
490 /*@C
491   SNESMSSetType - Set the type of multistage smoother
492 
493   Logically collective
494 
495   Input Parameter:
496 +  snes - nonlinear solver context
497 -  mstype - type of multistage method
498 
499   Level: beginner
500 
501 .seealso: SNESMSGetType(), SNESMS
502 @*/
503 PetscErrorCode SNESMSSetType(SNES snes,SNESMSType rostype)
504 {
505   PetscErrorCode ierr;
506 
507   PetscFunctionBegin;
508   PetscValidHeaderSpecific(snes,SNES_CLASSID,1);
509   ierr = PetscTryMethod(snes,"SNESMSSetType_C",(SNES,SNESMSType),(snes,rostype));CHKERRQ(ierr);
510   PetscFunctionReturn(0);
511 }
512 
513 /* -------------------------------------------------------------------------- */
514 /*MC
515       SNESMS - multi-stage smoothers
516 
517       Options Database:
518 
519 +     -snes_ms_type - type of multi-stage smoother
520 -     -snes_ms_damping - damping for multi-stage method
521 
522       Notes:
523       These multistage methods are explicit Runge-Kutta methods that are often used as smoothers for
524       FAS multigrid for transport problems. In the linear case, these are equivalent to polynomial smoothers (such as Chebyshev).
525 
526       Multi-stage smoothers should usually be preconditioned by point-block Jacobi to ensure proper scaling and to normalize the wave speeds.
527 
528       The methods are specified in low storage form (Ketcheson 2010). New methods can be registered with SNESMSRegister().
529 
530       References:
531 
532       Ketcheson (2010) Runge-Kutta methods with minimum storage implementations.
533 
534       Jameson (1983) Solution of the Euler equations for two dimensional transonic flow by a multigrid method.
535 
536       Pierce and Giles (1997) Preconditioned multigrid methods for compressible flow calculations on stretched meshes.
537 
538       Level: beginner
539 
540 .seealso:  SNESCreate(), SNES, SNESSetType(), SNESMS, SNESFAS, KSPCHEBYSHEV
541 
542 M*/
543 #undef __FUNCT__
544 #define __FUNCT__ "SNESCreate_MS"
545 PETSC_EXTERN PetscErrorCode SNESCreate_MS(SNES snes)
546 {
547   PetscErrorCode ierr;
548   SNES_MS        *ms;
549 
550   PetscFunctionBegin;
551   ierr = SNESMSInitializePackage();CHKERRQ(ierr);
552 
553   snes->ops->setup          = SNESSetUp_MS;
554   snes->ops->solve          = SNESSolve_MS;
555   snes->ops->destroy        = SNESDestroy_MS;
556   snes->ops->setfromoptions = SNESSetFromOptions_MS;
557   snes->ops->view           = SNESView_MS;
558   snes->ops->reset          = SNESReset_MS;
559 
560   snes->usespc  = PETSC_FALSE;
561   snes->usesksp = PETSC_TRUE;
562 
563   ierr        = PetscNewLog(snes,&ms);CHKERRQ(ierr);
564   snes->data  = (void*)ms;
565   ms->damping = 0.9;
566   ms->norms   = PETSC_FALSE;
567 
568   ierr = PetscObjectComposeFunction((PetscObject)snes,"SNESMSSetType_C",SNESMSSetType_MS);CHKERRQ(ierr);
569   PetscFunctionReturn(0);
570 }
571 
572