xref: /petsc/src/snes/impls/ms/ms.c (revision b45d2f2cb7e031d9c0de5873eca80614ca7b863b)
1*b45d2f2cSJed Brown #include <petsc-private/snesimpl.h>   /*I "petscsnes.h" I*/
237e1895aSJed Brown 
337e1895aSJed Brown static const SNESMSType SNESMSDefault = SNESMSM62;
437e1895aSJed Brown static PetscBool SNESMSRegisterAllCalled;
537e1895aSJed Brown static PetscBool SNESMSPackageInitialized;
637e1895aSJed Brown 
737e1895aSJed Brown typedef struct _SNESMSTableau *SNESMSTableau;
837e1895aSJed Brown struct _SNESMSTableau {
937e1895aSJed Brown   char      *name;
1037e1895aSJed Brown   PetscInt  nstages;            /* Number of stages */
1137e1895aSJed Brown   PetscInt  nregisters;         /* Number of registers */
1237e1895aSJed Brown   PetscReal stability;          /* Scaled stability region */
1337e1895aSJed Brown   PetscReal *gamma;             /* Coefficients of 3S* method */
1437e1895aSJed Brown   PetscReal *delta;             /* Coefficients of 3S* method */
1537e1895aSJed Brown   PetscReal *betasub;           /* Subdiagonal of beta in Shu-Osher form */
1637e1895aSJed Brown };
1737e1895aSJed Brown 
1837e1895aSJed Brown typedef struct _SNESMSTableauLink *SNESMSTableauLink;
1937e1895aSJed Brown struct _SNESMSTableauLink {
2037e1895aSJed Brown   struct _SNESMSTableau tab;
2137e1895aSJed Brown   SNESMSTableauLink next;
2237e1895aSJed Brown };
2337e1895aSJed Brown static SNESMSTableauLink SNESMSTableauList;
2437e1895aSJed Brown 
2537e1895aSJed Brown typedef struct {
2637e1895aSJed Brown   SNESMSTableau tableau;        /* Tableau in low-storage form */
2737e1895aSJed Brown   PetscReal     damping;        /* Damping parameter, like length of (pseudo) time step */
2837e1895aSJed Brown   PetscBool     norms;          /* Compute norms, usually only for monitoring purposes */
2937e1895aSJed Brown } SNES_MS;
3037e1895aSJed Brown 
3137e1895aSJed Brown #undef __FUNCT__
3237e1895aSJed Brown #define __FUNCT__ "SNESMSRegisterAll"
3337e1895aSJed Brown /*@C
3437e1895aSJed Brown   SNESMSRegisterAll - Registers all of the multi-stage methods in SNESMS
3537e1895aSJed Brown 
3637e1895aSJed Brown   Not Collective, but should be called by all processes which will need the schemes to be registered
3737e1895aSJed Brown 
3837e1895aSJed Brown   Level: advanced
3937e1895aSJed Brown 
4037e1895aSJed Brown .keywords: SNES, SNESMS, register, all
4137e1895aSJed Brown 
4237e1895aSJed Brown .seealso:  SNESMSRegisterDestroy()
4337e1895aSJed Brown @*/
4437e1895aSJed Brown PetscErrorCode SNESMSRegisterAll(void)
4537e1895aSJed Brown {
4637e1895aSJed Brown   PetscErrorCode ierr;
4737e1895aSJed Brown 
4837e1895aSJed Brown   PetscFunctionBegin;
4937e1895aSJed Brown   if (SNESMSRegisterAllCalled) PetscFunctionReturn(0);
5037e1895aSJed Brown   SNESMSRegisterAllCalled = PETSC_TRUE;
5137e1895aSJed Brown 
5237e1895aSJed Brown   {
5337e1895aSJed Brown     PetscReal gamma[3][1] = {{1.0},{0.0},{0.0}};
5437e1895aSJed Brown     PetscReal delta[1] = {0.0};
5537e1895aSJed Brown     PetscReal betasub[1] = {1.0};
5637e1895aSJed Brown     ierr = SNESMSRegister(SNESMSEULER,1,3,1.0,&gamma[0][0],delta,betasub);CHKERRQ(ierr);
5737e1895aSJed Brown   }
5837e1895aSJed Brown 
5937e1895aSJed Brown   {
6037e1895aSJed Brown     PetscReal gamma[3][6] = {
6137e1895aSJed Brown       {0.0000000000000000E+00,  -7.0304722367110606E-01, -1.9836719667506464E-01, -1.6023843981863788E+00, 9.4483822882855284E-02,  -1.4204296130641869E-01},
6237e1895aSJed Brown       {1.0000000000000000E+00,  1.1111025767083920E+00,  5.6150921583923230E-01,  7.4151723494934041E-01,  3.1714538168600587E-01,  4.6479276238548706E-01},
6337e1895aSJed Brown       {0.0000000000000000E+00,  0.0000000000000000E+00,  0.0000000000000000E+00,  6.7968174970583317E-01,  -4.1755042846051737E-03, -1.9115668129923846E-01}
6437e1895aSJed Brown     };
6537e1895aSJed Brown     PetscReal delta[6] = {1.0000000000000000E+00, 5.3275427433201750E-01, 6.0143544663985238E-01, 4.5874077053842177E-01, 2.7544386906104651E-01, 0.0000000000000000E+00};
6637e1895aSJed Brown     PetscReal betasub[6] = {8.4753115429481929E-01, 7.4018896368655618E-01, 6.5963574086583309E-03, 4.6747795645517759E-01, 1.3314545813643919E-01, 5.3260800028018784E-01};
6737e1895aSJed Brown     ierr = SNESMSRegister(SNESMSM62,6,3,1.0,&gamma[0][0],delta,betasub);CHKERRQ(ierr);
6837e1895aSJed Brown   }
69a97cb6bcSJed Brown   {
70a97cb6bcSJed Brown     PetscReal gamma[3][4] = {{0,0,0,0},{0,0,0,0},{1,1,1,1}};
71a97cb6bcSJed Brown     PetscReal delta[4] = {0,0,0,0};
72a97cb6bcSJed Brown     PetscReal betasub[4] = {0.25, 0.5, 0.55, 1.0};
73a97cb6bcSJed Brown     ierr = SNESMSRegister(SNESMSJAMESON83,4,3,1.0,&gamma[0][0],delta,betasub);CHKERRQ(ierr);
74a97cb6bcSJed Brown   }
75a97cb6bcSJed Brown   {                             /* Van Leer, Tai, and Powell (1989) 2 stage, order 1 */
76a97cb6bcSJed Brown     PetscReal gamma[3][2] = {{0,0},{0,0},{1,1}};
77a97cb6bcSJed Brown     PetscReal delta[2] = {0,0};
78a97cb6bcSJed Brown     PetscReal betasub[2] = {0.3333,1.0};
79a97cb6bcSJed Brown     ierr = SNESMSRegister(SNESMSVLTP21,2,3,1.0,&gamma[0][0],delta,betasub);CHKERRQ(ierr);
80a97cb6bcSJed Brown   }
81a97cb6bcSJed Brown   {                             /* Van Leer, Tai, and Powell (1989) 3 stage, order 1 */
82a97cb6bcSJed Brown     PetscReal gamma[3][3] = {{0,0,0},{0,0,0},{1,1,1}};
83a97cb6bcSJed Brown     PetscReal delta[3] = {0,0,0};
84a97cb6bcSJed Brown     PetscReal betasub[3] = {0.1481,0.4000,1.0};
85a97cb6bcSJed Brown     ierr = SNESMSRegister(SNESMSVLTP31,3,3,1.5,&gamma[0][0],delta,betasub);CHKERRQ(ierr);
86a97cb6bcSJed Brown   }
87a97cb6bcSJed Brown   {                             /* Van Leer, Tai, and Powell (1989) 4 stage, order 1 */
88a97cb6bcSJed Brown     PetscReal gamma[3][4] = {{0,0,0,0},{0,0,0,0},{1,1,1,1}};
89a97cb6bcSJed Brown     PetscReal delta[4] = {0,0,0,0};
90a97cb6bcSJed Brown     PetscReal betasub[4] = {0.0833,0.2069,0.4265,1.0};
91a97cb6bcSJed Brown     ierr = SNESMSRegister(SNESMSVLTP41,4,3,2.0,&gamma[0][0],delta,betasub);CHKERRQ(ierr);
92a97cb6bcSJed Brown   }
93a97cb6bcSJed Brown   {                             /* Van Leer, Tai, and Powell (1989) 5 stage, order 1 */
94a97cb6bcSJed Brown     PetscReal gamma[3][5] = {{0,0,0,0,0},{0,0,0,0,0},{1,1,1,1,1}};
95a97cb6bcSJed Brown     PetscReal delta[5] = {0,0,0,0,0};
96a97cb6bcSJed Brown     PetscReal betasub[5] = {0.0533,0.1263,0.2375,0.4414,1.0};
97a97cb6bcSJed Brown     ierr = SNESMSRegister(SNESMSVLTP51,5,3,2.5,&gamma[0][0],delta,betasub);CHKERRQ(ierr);
98a97cb6bcSJed Brown   }
99a97cb6bcSJed Brown   {                             /* Van Leer, Tai, and Powell (1989) 6 stage, order 1 */
100a97cb6bcSJed Brown     PetscReal gamma[3][6] = {{0,0,0,0,0,0},{0,0,0,0,0,0},{1,1,1,1,1,1}};
101a97cb6bcSJed Brown     PetscReal delta[6] = {0,0,0,0,0,0};
102a97cb6bcSJed Brown     PetscReal betasub[6] = {0.0370,0.0851,0.1521,0.2562,0.4512,1.0};
103a97cb6bcSJed Brown     ierr = SNESMSRegister(SNESMSVLTP61,6,3,3.0,&gamma[0][0],delta,betasub);CHKERRQ(ierr);
104a97cb6bcSJed Brown   }
10537e1895aSJed Brown   PetscFunctionReturn(0);
10637e1895aSJed Brown }
10737e1895aSJed Brown 
10837e1895aSJed Brown #undef __FUNCT__
10937e1895aSJed Brown #define __FUNCT__ "SNESMSRegisterDestroy"
11037e1895aSJed Brown /*@C
11137e1895aSJed Brown    SNESMSRegisterDestroy - Frees the list of schemes that were registered by TSRosWRegister().
11237e1895aSJed Brown 
11337e1895aSJed Brown    Not Collective
11437e1895aSJed Brown 
11537e1895aSJed Brown    Level: advanced
11637e1895aSJed Brown 
11737e1895aSJed Brown .keywords: TSRosW, register, destroy
11837e1895aSJed Brown .seealso: TSRosWRegister(), TSRosWRegisterAll(), TSRosWRegisterDynamic()
11937e1895aSJed Brown @*/
12037e1895aSJed Brown PetscErrorCode SNESMSRegisterDestroy(void)
12137e1895aSJed Brown {
12237e1895aSJed Brown   PetscErrorCode ierr;
12337e1895aSJed Brown   SNESMSTableauLink link;
12437e1895aSJed Brown 
12537e1895aSJed Brown   PetscFunctionBegin;
12637e1895aSJed Brown   while ((link = SNESMSTableauList)) {
12737e1895aSJed Brown     SNESMSTableau t = &link->tab;
12837e1895aSJed Brown     SNESMSTableauList = link->next;
12937e1895aSJed Brown     ierr = PetscFree3(t->gamma,t->delta,t->betasub);CHKERRQ(ierr);
13037e1895aSJed Brown     ierr = PetscFree(t->name);CHKERRQ(ierr);
13137e1895aSJed Brown     ierr = PetscFree(link);CHKERRQ(ierr);
13237e1895aSJed Brown   }
13337e1895aSJed Brown   SNESMSRegisterAllCalled = PETSC_FALSE;
13437e1895aSJed Brown   PetscFunctionReturn(0);
13537e1895aSJed Brown }
13637e1895aSJed Brown 
13737e1895aSJed Brown #undef __FUNCT__
13837e1895aSJed Brown #define __FUNCT__ "SNESMSInitializePackage"
13937e1895aSJed Brown /*@C
14037e1895aSJed Brown   SNESMSInitializePackage - This function initializes everything in the SNESMS package. It is called
14137e1895aSJed Brown   from PetscDLLibraryRegister() when using dynamic libraries, and on the first call to SNESCreate_MS()
14237e1895aSJed Brown   when using static libraries.
14337e1895aSJed Brown 
14437e1895aSJed Brown   Input Parameter:
14537e1895aSJed Brown   path - The dynamic library path, or PETSC_NULL
14637e1895aSJed Brown 
14737e1895aSJed Brown   Level: developer
14837e1895aSJed Brown 
14937e1895aSJed Brown .keywords: SNES, SNESMS, initialize, package
15037e1895aSJed Brown .seealso: PetscInitialize()
15137e1895aSJed Brown @*/
15237e1895aSJed Brown PetscErrorCode SNESMSInitializePackage(const char path[])
15337e1895aSJed Brown {
15437e1895aSJed Brown   PetscErrorCode ierr;
15537e1895aSJed Brown 
15637e1895aSJed Brown   PetscFunctionBegin;
15737e1895aSJed Brown   if (SNESMSPackageInitialized) PetscFunctionReturn(0);
15837e1895aSJed Brown   SNESMSPackageInitialized = PETSC_TRUE;
15937e1895aSJed Brown   ierr = SNESMSRegisterAll();CHKERRQ(ierr);
16037e1895aSJed Brown   ierr = PetscRegisterFinalize(SNESMSFinalizePackage);CHKERRQ(ierr);
16137e1895aSJed Brown   PetscFunctionReturn(0);
16237e1895aSJed Brown }
16337e1895aSJed Brown 
16437e1895aSJed Brown #undef __FUNCT__
16537e1895aSJed Brown #define __FUNCT__ "SNESMSFinalizePackage"
16637e1895aSJed Brown /*@C
16737e1895aSJed Brown   SNESMSFinalizePackage - This function destroys everything in the SNESMS package. It is
16837e1895aSJed Brown   called from PetscFinalize().
16937e1895aSJed Brown 
17037e1895aSJed Brown   Level: developer
17137e1895aSJed Brown 
17237e1895aSJed Brown .keywords: Petsc, destroy, package
17337e1895aSJed Brown .seealso: PetscFinalize()
17437e1895aSJed Brown @*/
17537e1895aSJed Brown PetscErrorCode SNESMSFinalizePackage(void)
17637e1895aSJed Brown {
17737e1895aSJed Brown   PetscErrorCode ierr;
17837e1895aSJed Brown 
17937e1895aSJed Brown   PetscFunctionBegin;
18037e1895aSJed Brown   SNESMSPackageInitialized = PETSC_FALSE;
18137e1895aSJed Brown   ierr = SNESMSRegisterDestroy();CHKERRQ(ierr);
18237e1895aSJed Brown   PetscFunctionReturn(0);
18337e1895aSJed Brown }
18437e1895aSJed Brown 
18537e1895aSJed Brown #undef __FUNCT__
18637e1895aSJed Brown #define __FUNCT__ "SNESMSRegister"
18737e1895aSJed Brown /*@C
18837e1895aSJed Brown    SNESMSRegister - register a multistage scheme
18937e1895aSJed Brown 
19037e1895aSJed Brown    Not Collective, but the same schemes should be registered on all processes on which they will be used
19137e1895aSJed Brown 
19237e1895aSJed Brown    Input Parameters:
19337e1895aSJed Brown +  name - identifier for method
19437e1895aSJed Brown .  nstages - number of stages
19537e1895aSJed Brown .  nregisters - number of registers used by low-storage implementation
19637e1895aSJed Brown .  gamma - coefficients, see Ketcheson's paper
19737e1895aSJed Brown .  delta - coefficients, see Ketcheson's paper
19837e1895aSJed Brown -  betasub - subdiagonal of Shu-Osher form
19937e1895aSJed Brown 
20037e1895aSJed Brown    Notes:
20137e1895aSJed Brown    The notation is described in Ketcheson (2010) Runge-Kutta methods with minimum storage implementations.
20237e1895aSJed Brown 
20337e1895aSJed Brown    Level: advanced
20437e1895aSJed Brown 
20537e1895aSJed Brown .keywords: SNES, register
20637e1895aSJed Brown 
20737e1895aSJed Brown .seealso: SNESMS
20837e1895aSJed Brown @*/
20937e1895aSJed Brown PetscErrorCode SNESMSRegister(const SNESMSType name,PetscInt nstages,PetscInt nregisters,PetscReal stability,const PetscReal gamma[],const PetscReal delta[],const PetscReal betasub[])
21037e1895aSJed Brown {
21137e1895aSJed Brown   PetscErrorCode ierr;
21237e1895aSJed Brown   SNESMSTableauLink link;
21337e1895aSJed Brown   SNESMSTableau t;
21437e1895aSJed Brown 
21537e1895aSJed Brown   PetscFunctionBegin;
21637e1895aSJed Brown   PetscValidCharPointer(name,1);
21737e1895aSJed Brown   if (nstages < 1) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Must have at least one stage");
21837e1895aSJed Brown   if (nregisters != 3) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Only support for methods written in 3-register form");
21937e1895aSJed Brown   PetscValidPointer(gamma,4);
22037e1895aSJed Brown   PetscValidPointer(delta,5);
22137e1895aSJed Brown   PetscValidPointer(betasub,6);
22237e1895aSJed Brown 
22337e1895aSJed Brown   ierr = PetscMalloc(sizeof(*link),&link);CHKERRQ(ierr);
22437e1895aSJed Brown   ierr = PetscMemzero(link,sizeof(*link));CHKERRQ(ierr);
22537e1895aSJed Brown   t = &link->tab;
22637e1895aSJed Brown   ierr = PetscStrallocpy(name,&t->name);CHKERRQ(ierr);
22737e1895aSJed Brown   t->nstages    = nstages;
22837e1895aSJed Brown   t->nregisters = nregisters;
22937e1895aSJed Brown   t->stability  = stability;
23037e1895aSJed Brown   ierr = PetscMalloc3(nstages*nregisters,PetscReal,&t->gamma,nstages,PetscReal,&t->delta,nstages,PetscReal,&t->betasub);CHKERRQ(ierr);
23137e1895aSJed Brown   ierr = PetscMemcpy(t->gamma,gamma,nstages*nregisters*sizeof(PetscReal));CHKERRQ(ierr);
23237e1895aSJed Brown   ierr = PetscMemcpy(t->delta,delta,nstages*sizeof(PetscReal));CHKERRQ(ierr);
23337e1895aSJed Brown   ierr = PetscMemcpy(t->betasub,betasub,nstages*sizeof(PetscReal));CHKERRQ(ierr);
23437e1895aSJed Brown 
23537e1895aSJed Brown   link->next = SNESMSTableauList;
23637e1895aSJed Brown   SNESMSTableauList = link;
23737e1895aSJed Brown   PetscFunctionReturn(0);
23837e1895aSJed Brown }
23937e1895aSJed Brown 
24037e1895aSJed Brown #undef __FUNCT__
24137e1895aSJed Brown #define __FUNCT__ "SNESMSStep_3Sstar"
24237e1895aSJed Brown /*
24337e1895aSJed Brown   X - initial state, updated in-place.
24437e1895aSJed Brown   F - residual, computed at the initial X on input
24537e1895aSJed Brown */
24637e1895aSJed Brown static PetscErrorCode SNESMSStep_3Sstar(SNES snes,Vec X,Vec F)
24737e1895aSJed Brown {
24837e1895aSJed Brown   PetscErrorCode ierr;
24937e1895aSJed Brown   SNES_MS        *ms = (SNES_MS*)snes->data;
25037e1895aSJed Brown   SNESMSTableau  t = ms->tableau;
25137e1895aSJed Brown   const PetscReal *gamma = t->gamma,*delta = t->delta,*betasub = t->betasub;
25237e1895aSJed Brown   Vec            S1,S2,S3,Y;
25337e1895aSJed Brown   PetscInt       i,nstages = t->nstages;;
25437e1895aSJed Brown 
25537e1895aSJed Brown 
25637e1895aSJed Brown   PetscFunctionBegin;
25737e1895aSJed Brown   Y = snes->work[0];
25837e1895aSJed Brown   S1 = X;
25937e1895aSJed Brown   S2 = snes->work[1];
26037e1895aSJed Brown   S3 = snes->work[2];
26137e1895aSJed Brown   ierr = VecZeroEntries(S2);CHKERRQ(ierr);
26237e1895aSJed Brown   ierr = VecCopy(X,S3);CHKERRQ(ierr);
26337e1895aSJed Brown   for (i=0; i<nstages; i++) {
26437e1895aSJed Brown     Vec Ss[4] = {S1,S2,S3,Y};
265f73f8d2cSSatish Balay     PetscScalar scoeff[4] = {gamma[0*nstages+i]-1.0,gamma[1*nstages+i],gamma[2*nstages+i],-betasub[i]*ms->damping};
26637e1895aSJed Brown     ierr = VecAXPY(S2,delta[i],S1);CHKERRQ(ierr);
26737e1895aSJed Brown     if (i>0) {
26837e1895aSJed Brown       ierr = SNESComputeFunction(snes,S1,F);CHKERRQ(ierr);
26937e1895aSJed Brown       if (snes->domainerror) {
27037e1895aSJed Brown         snes->reason = SNES_DIVERGED_FUNCTION_DOMAIN;
27137e1895aSJed Brown         PetscFunctionReturn(0);
27237e1895aSJed Brown       }
27337e1895aSJed Brown     }
27437e1895aSJed Brown     ierr = SNES_KSPSolve(snes,snes->ksp,F,Y);CHKERRQ(ierr);
27537e1895aSJed Brown     ierr = VecMAXPY(S1,4,scoeff,Ss);CHKERRQ(ierr);
27637e1895aSJed Brown   }
27737e1895aSJed Brown   PetscFunctionReturn(0);
27837e1895aSJed Brown }
27937e1895aSJed Brown 
28037e1895aSJed Brown #undef __FUNCT__
28137e1895aSJed Brown #define __FUNCT__ "SNESSolve_MS"
28237e1895aSJed Brown static PetscErrorCode SNESSolve_MS(SNES snes)
28337e1895aSJed Brown {
28437e1895aSJed Brown   SNES_MS        *ms = (SNES_MS*)snes->data;
28537e1895aSJed Brown   Vec            X = snes->vec_sol,F = snes->vec_func;
28637e1895aSJed Brown   PetscReal      fnorm;
28737e1895aSJed Brown   MatStructure   mstruct;
28837e1895aSJed Brown   PetscInt       i;
28937e1895aSJed Brown   PetscErrorCode ierr;
29037e1895aSJed Brown 
29137e1895aSJed Brown   PetscFunctionBegin;
29237e1895aSJed Brown   snes->reason = SNES_CONVERGED_ITERATING;
29337e1895aSJed Brown   ierr = PetscObjectTakeAccess(snes);CHKERRQ(ierr);
29437e1895aSJed Brown   snes->iter = 0;
29537e1895aSJed Brown   snes->norm = 0.;
29637e1895aSJed Brown   ierr = PetscObjectGrantAccess(snes);CHKERRQ(ierr);
29737e1895aSJed Brown 
29837e1895aSJed Brown   ierr = SNESComputeFunction(snes,X,F);CHKERRQ(ierr);
29937e1895aSJed Brown   if (snes->domainerror) {
30037e1895aSJed Brown     snes->reason = SNES_DIVERGED_FUNCTION_DOMAIN;
30137e1895aSJed Brown     PetscFunctionReturn(0);
30237e1895aSJed Brown   }
30337e1895aSJed Brown   if (snes->jacobian) {         /* This method does not require a Jacobian, but it is usually preconditioned by PBJacobi */
30437e1895aSJed Brown     ierr = SNESComputeJacobian(snes,snes->vec_sol,&snes->jacobian,&snes->jacobian_pre,&mstruct);CHKERRQ(ierr);
30537e1895aSJed Brown     ierr = KSPSetOperators(snes->ksp,snes->jacobian,snes->jacobian_pre,mstruct);CHKERRQ(ierr);
30637e1895aSJed Brown   }
30737e1895aSJed Brown   if (ms->norms) {
30837e1895aSJed Brown     ierr = VecNorm(F,NORM_2,&fnorm);CHKERRQ(ierr); /* fnorm <- ||F||  */
30937e1895aSJed Brown     if (PetscIsInfOrNanReal(fnorm)) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_FP,"Infinite or not-a-number generated in norm");
31037e1895aSJed Brown     /* Monitor convergence */
31137e1895aSJed Brown     ierr = PetscObjectTakeAccess(snes);CHKERRQ(ierr);
31237e1895aSJed Brown     snes->iter = 0;
31337e1895aSJed Brown     snes->norm = fnorm;
31437e1895aSJed Brown     ierr = PetscObjectGrantAccess(snes);CHKERRQ(ierr);
31537e1895aSJed Brown     SNESLogConvHistory(snes,snes->norm,0);
31637e1895aSJed Brown     ierr = SNESMonitor(snes,snes->iter,snes->norm);CHKERRQ(ierr);
31737e1895aSJed Brown 
31837e1895aSJed Brown     /* set parameter for default relative tolerance convergence test */
31937e1895aSJed Brown     snes->ttol = fnorm*snes->rtol;
32037e1895aSJed Brown     /* Test for convergence */
32137e1895aSJed Brown     ierr = (*snes->ops->converged)(snes,snes->iter,0.0,0.0,fnorm,&snes->reason,snes->cnvP);CHKERRQ(ierr);
32237e1895aSJed Brown     if (snes->reason) PetscFunctionReturn(0);
32337e1895aSJed Brown   }
32437e1895aSJed Brown 
32537e1895aSJed Brown   /* Call general purpose update function */
32637e1895aSJed Brown   if (snes->ops->update) {
32737e1895aSJed Brown     ierr = (*snes->ops->update)(snes,snes->iter);CHKERRQ(ierr);
32837e1895aSJed Brown   }
32937e1895aSJed Brown   for (i = 0; i < snes->max_its; i++) {
33037e1895aSJed Brown     ierr = SNESMSStep_3Sstar(snes,X,F);CHKERRQ(ierr);
33137e1895aSJed Brown 
33237e1895aSJed Brown     if (i+1 < snes->max_its || ms->norms) {
33337e1895aSJed Brown       ierr = SNESComputeFunction(snes,X,F);CHKERRQ(ierr);
33437e1895aSJed Brown       if (snes->domainerror) {
33537e1895aSJed Brown         snes->reason = SNES_DIVERGED_FUNCTION_DOMAIN;
33637e1895aSJed Brown         PetscFunctionReturn(0);
33737e1895aSJed Brown       }
33837e1895aSJed Brown     }
33937e1895aSJed Brown 
34037e1895aSJed Brown     if (ms->norms) {
34137e1895aSJed Brown       ierr = VecNorm(F,NORM_2,&fnorm);CHKERRQ(ierr); /* fnorm <- ||F||  */
34237e1895aSJed Brown       if (PetscIsInfOrNanReal(fnorm)) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_FP,"Infinite or not-a-number generated in norm");
34337e1895aSJed Brown       /* Monitor convergence */
34437e1895aSJed Brown       ierr = PetscObjectTakeAccess(snes);CHKERRQ(ierr);
34537e1895aSJed Brown       snes->iter = i+1;
34637e1895aSJed Brown       snes->norm = fnorm;
34737e1895aSJed Brown       ierr = PetscObjectGrantAccess(snes);CHKERRQ(ierr);
34837e1895aSJed Brown       SNESLogConvHistory(snes,snes->norm,0);
34937e1895aSJed Brown       ierr = SNESMonitor(snes,snes->iter,snes->norm);CHKERRQ(ierr);
35037e1895aSJed Brown 
35137e1895aSJed Brown       /* Test for convergence */
35237e1895aSJed Brown       ierr = (*snes->ops->converged)(snes,snes->iter,0.0,0.0,fnorm,&snes->reason,snes->cnvP);CHKERRQ(ierr);
35337e1895aSJed Brown       if (snes->reason) PetscFunctionReturn(0);
35437e1895aSJed Brown     }
35537e1895aSJed Brown 
35637e1895aSJed Brown     /* Call general purpose update function */
35737e1895aSJed Brown     if (snes->ops->update) {
35837e1895aSJed Brown       ierr = (*snes->ops->update)(snes, snes->iter);CHKERRQ(ierr);
35937e1895aSJed Brown     }
36037e1895aSJed Brown   }
36137e1895aSJed Brown   if (!snes->reason) snes->reason = SNES_CONVERGED_ITS;
36237e1895aSJed Brown   PetscFunctionReturn(0);
36337e1895aSJed Brown }
36437e1895aSJed Brown 
36537e1895aSJed Brown #undef __FUNCT__
36637e1895aSJed Brown #define __FUNCT__ "SNESSetUp_MS"
36737e1895aSJed Brown static PetscErrorCode SNESSetUp_MS(SNES snes)
36837e1895aSJed Brown {
36937e1895aSJed Brown   SNES_MS * ms = (SNES_MS *)snes->data;
37037e1895aSJed Brown   PetscErrorCode ierr;
37137e1895aSJed Brown 
37237e1895aSJed Brown   PetscFunctionBegin;
37337e1895aSJed Brown   if (!ms->tableau) {ierr = SNESMSSetType(snes,SNESMSDefault);CHKERRQ(ierr);}
37437e1895aSJed Brown   ierr = SNESDefaultGetWork(snes,3);CHKERRQ(ierr);
3756cab3a1bSJed Brown   ierr = SNESSetUpMatrices(snes);CHKERRQ(ierr);
37637e1895aSJed Brown   PetscFunctionReturn(0);
37737e1895aSJed Brown }
37837e1895aSJed Brown 
37937e1895aSJed Brown #undef __FUNCT__
38037e1895aSJed Brown #define __FUNCT__ "SNESReset_MS"
38137e1895aSJed Brown static PetscErrorCode SNESReset_MS(SNES snes)
38237e1895aSJed Brown {
38337e1895aSJed Brown 
38437e1895aSJed Brown   PetscFunctionBegin;
38537e1895aSJed Brown   PetscFunctionReturn(0);
38637e1895aSJed Brown }
38737e1895aSJed Brown 
38837e1895aSJed Brown #undef __FUNCT__
38937e1895aSJed Brown #define __FUNCT__ "SNESDestroy_MS"
39037e1895aSJed Brown static PetscErrorCode SNESDestroy_MS(SNES snes)
39137e1895aSJed Brown {
39237e1895aSJed Brown   PetscErrorCode ierr;
39337e1895aSJed Brown 
39437e1895aSJed Brown   PetscFunctionBegin;
39537e1895aSJed Brown   ierr = PetscFree(snes->data);CHKERRQ(ierr);
39637e1895aSJed Brown   ierr = PetscObjectComposeFunctionDynamic((PetscObject)snes,"","",PETSC_NULL);CHKERRQ(ierr);
39737e1895aSJed Brown   PetscFunctionReturn(0);
39837e1895aSJed Brown }
39937e1895aSJed Brown 
40037e1895aSJed Brown #undef __FUNCT__
40137e1895aSJed Brown #define __FUNCT__ "SNESView_MS"
40237e1895aSJed Brown static PetscErrorCode SNESView_MS(SNES snes,PetscViewer viewer)
40337e1895aSJed Brown {
40437e1895aSJed Brown   PetscBool        iascii;
40537e1895aSJed Brown   PetscErrorCode   ierr;
40637e1895aSJed Brown   SNES_MS          *ms = (SNES_MS*)snes->data;
40737e1895aSJed Brown 
40837e1895aSJed Brown   PetscFunctionBegin;
40937e1895aSJed Brown   ierr = PetscTypeCompare((PetscObject) viewer, PETSCVIEWERASCII, &iascii);CHKERRQ(ierr);
41037e1895aSJed Brown   if (iascii) {
41137e1895aSJed Brown     SNESMSTableau tab = ms->tableau;
41237e1895aSJed Brown     ierr = PetscViewerASCIIPrintf(viewer,"  multi-stage method type: %s\n",tab?tab->name:"not yet set");CHKERRQ(ierr);
41337e1895aSJed Brown   }
41437e1895aSJed Brown   PetscFunctionReturn(0);
41537e1895aSJed Brown }
41637e1895aSJed Brown 
41737e1895aSJed Brown #undef __FUNCT__
41837e1895aSJed Brown #define __FUNCT__ "SNESSetFromOptions_MS"
41937e1895aSJed Brown static PetscErrorCode SNESSetFromOptions_MS(SNES snes)
42037e1895aSJed Brown {
421725b86d8SJed Brown   SNES_MS        *ms = (SNES_MS*)snes->data;
42237e1895aSJed Brown   PetscErrorCode ierr;
42337e1895aSJed Brown 
42437e1895aSJed Brown   PetscFunctionBegin;
42537e1895aSJed Brown   ierr = PetscOptionsHead("SNES MS options");CHKERRQ(ierr);
42637e1895aSJed Brown   {
42737e1895aSJed Brown     SNESMSTableauLink link;
42837e1895aSJed Brown     PetscInt count,choice;
42937e1895aSJed Brown     PetscBool flg;
43037e1895aSJed Brown     const char **namelist;
43137e1895aSJed Brown     char mstype[256];
43237e1895aSJed Brown 
43337e1895aSJed Brown     ierr = PetscStrncpy(mstype,SNESMSDefault,sizeof mstype);CHKERRQ(ierr);
43437e1895aSJed Brown     for (link=SNESMSTableauList,count=0; link; link=link->next,count++) ;
43537e1895aSJed Brown     ierr = PetscMalloc(count*sizeof(char*),&namelist);CHKERRQ(ierr);
43637e1895aSJed Brown     for (link=SNESMSTableauList,count=0; link; link=link->next,count++) namelist[count] = link->tab.name;
43737e1895aSJed Brown     ierr = PetscOptionsEList("-snes_ms_type","Multistage smoother type","SNESMSSetType",(const char*const*)namelist,count,mstype,&choice,&flg);CHKERRQ(ierr);
43837e1895aSJed Brown     ierr = SNESMSSetType(snes,flg ? namelist[choice] : mstype);CHKERRQ(ierr);
43937e1895aSJed Brown     ierr = PetscFree(namelist);CHKERRQ(ierr);
44037e1895aSJed Brown     ierr = PetscOptionsReal("-snes_ms_damping","Damping for multistage method","SNESMSSetDamping",ms->damping,&ms->damping,PETSC_NULL);CHKERRQ(ierr);
44137e1895aSJed Brown     ierr = PetscOptionsBool("-snes_ms_norms","Compute norms for monitoring","none",ms->norms,&ms->norms,PETSC_NULL);CHKERRQ(ierr);
44237e1895aSJed Brown   }
44337e1895aSJed Brown   ierr = PetscOptionsTail();CHKERRQ(ierr);
44437e1895aSJed Brown   PetscFunctionReturn(0);
44537e1895aSJed Brown }
44637e1895aSJed Brown 
44737e1895aSJed Brown EXTERN_C_BEGIN
44837e1895aSJed Brown #undef __FUNCT__
44937e1895aSJed Brown #define __FUNCT__ "SNESMSSetType_MS"
45037e1895aSJed Brown PetscErrorCode  SNESMSSetType_MS(SNES snes,SNESMSType mstype)
45137e1895aSJed Brown {
45237e1895aSJed Brown   PetscErrorCode    ierr;
45337e1895aSJed Brown   SNES_MS           *ms = (SNES_MS*)snes->data;
45437e1895aSJed Brown   SNESMSTableauLink link;
45537e1895aSJed Brown   PetscBool         match;
45637e1895aSJed Brown 
45737e1895aSJed Brown   PetscFunctionBegin;
45837e1895aSJed Brown   if (ms->tableau) {
45937e1895aSJed Brown     ierr = PetscStrcmp(ms->tableau->name,mstype,&match);CHKERRQ(ierr);
46037e1895aSJed Brown     if (match) PetscFunctionReturn(0);
46137e1895aSJed Brown   }
46237e1895aSJed Brown   for (link = SNESMSTableauList; link; link=link->next) {
46337e1895aSJed Brown     ierr = PetscStrcmp(link->tab.name,mstype,&match);CHKERRQ(ierr);
46437e1895aSJed Brown     if (match) {
46537e1895aSJed Brown       ierr = SNESReset_MS(snes);CHKERRQ(ierr);
46637e1895aSJed Brown       ms->tableau = &link->tab;
46737e1895aSJed Brown       PetscFunctionReturn(0);
46837e1895aSJed Brown     }
46937e1895aSJed Brown   }
47037e1895aSJed Brown   SETERRQ1(((PetscObject)snes)->comm,PETSC_ERR_ARG_UNKNOWN_TYPE,"Could not find '%s'",mstype);
47137e1895aSJed Brown   PetscFunctionReturn(0);
47237e1895aSJed Brown }
47337e1895aSJed Brown EXTERN_C_END
47437e1895aSJed Brown 
47537e1895aSJed Brown 
47637e1895aSJed Brown #undef __FUNCT__
47737e1895aSJed Brown #define __FUNCT__ "SNESMSSetType"
47837e1895aSJed Brown /*@C
47937e1895aSJed Brown   SNESMSSetType - Set the type of multistage smoother
48037e1895aSJed Brown 
48137e1895aSJed Brown   Logically collective
48237e1895aSJed Brown 
48337e1895aSJed Brown   Input Parameter:
48437e1895aSJed Brown +  snes - nonlinear solver context
48537e1895aSJed Brown -  mstype - type of multistage method
48637e1895aSJed Brown 
48737e1895aSJed Brown   Level: beginner
48837e1895aSJed Brown 
48937e1895aSJed Brown .seealso: SNESMSGetType(), SNESMS
49037e1895aSJed Brown @*/
49137e1895aSJed Brown PetscErrorCode SNESMSSetType(SNES snes,const SNESMSType rostype)
49237e1895aSJed Brown {
49337e1895aSJed Brown   PetscErrorCode ierr;
49437e1895aSJed Brown 
49537e1895aSJed Brown   PetscFunctionBegin;
49637e1895aSJed Brown   PetscValidHeaderSpecific(snes,SNES_CLASSID,1);
49737e1895aSJed Brown   ierr = PetscTryMethod(snes,"SNESMSSetType_C",(SNES,const SNESMSType),(snes,rostype));CHKERRQ(ierr);
49837e1895aSJed Brown   PetscFunctionReturn(0);
49937e1895aSJed Brown }
50037e1895aSJed Brown 
50137e1895aSJed Brown /* -------------------------------------------------------------------------- */
50237e1895aSJed Brown /*MC
50337e1895aSJed Brown       SNESMS - multi-stage smoothers
50437e1895aSJed Brown 
50537e1895aSJed Brown       Options Database:
50637e1895aSJed Brown 
50737e1895aSJed Brown +     -snes_ms_type - type of multi-stage smoother
50837e1895aSJed Brown -     -snes_ms_damping - damping for multi-stage method
50937e1895aSJed Brown 
51037e1895aSJed Brown       Notes:
51137e1895aSJed Brown       These multistage methods are explicit Runge-Kutta methods that are often used as smoothers for
51237e1895aSJed Brown       FAS multigrid for transport problems. In the linear case, these are equivalent to polynomial smoothers (such as Chebychev).
51337e1895aSJed Brown 
51437e1895aSJed Brown       Multi-stage smoothers should usually be preconditioned by point-block Jacobi to ensure proper scaling and to normalize the wave speeds.
51537e1895aSJed Brown 
51637e1895aSJed Brown       The methods are specified in low storage form (Ketcheson 2010). New methods can be registered with SNESMSRegister().
51737e1895aSJed Brown 
51837e1895aSJed Brown       References:
51937e1895aSJed Brown 
52037e1895aSJed Brown       Ketcheson (2010) Runge-Kutta methods with minimum storage implementations.
52137e1895aSJed Brown 
52237e1895aSJed Brown       Jameson (1983) Solution of the Euler equations for two dimensional transonic flow by a multigrid method.
52337e1895aSJed Brown 
52437e1895aSJed Brown       Pierce and Giles (1997) Preconditioned multigrid methods for compressible flow calculations on stretched meshes.
52537e1895aSJed Brown 
52637e1895aSJed Brown       Level: beginner
52737e1895aSJed Brown 
52837e1895aSJed Brown .seealso:  SNESCreate(), SNES, SNESSetType(), SNESMS, SNESFAS, KSPCHEBYCHEV
52937e1895aSJed Brown 
53037e1895aSJed Brown M*/
53137e1895aSJed Brown EXTERN_C_BEGIN
53237e1895aSJed Brown #undef __FUNCT__
53337e1895aSJed Brown #define __FUNCT__ "SNESCreate_MS"
53437e1895aSJed Brown PetscErrorCode  SNESCreate_MS(SNES snes)
53537e1895aSJed Brown {
53637e1895aSJed Brown   PetscErrorCode ierr;
53737e1895aSJed Brown   SNES_MS        *ms;
53837e1895aSJed Brown 
53937e1895aSJed Brown   PetscFunctionBegin;
54037e1895aSJed Brown #if !defined(PETSC_USE_DYNAMIC_LIBRARIES)
54137e1895aSJed Brown   ierr = SNESMSInitializePackage(PETSC_NULL);CHKERRQ(ierr);
54237e1895aSJed Brown #endif
54337e1895aSJed Brown 
54437e1895aSJed Brown   snes->ops->setup          = SNESSetUp_MS;
54537e1895aSJed Brown   snes->ops->solve          = SNESSolve_MS;
54637e1895aSJed Brown   snes->ops->destroy        = SNESDestroy_MS;
54737e1895aSJed Brown   snes->ops->setfromoptions = SNESSetFromOptions_MS;
54837e1895aSJed Brown   snes->ops->view           = SNESView_MS;
54937e1895aSJed Brown   snes->ops->reset          = SNESReset_MS;
55037e1895aSJed Brown 
55137e1895aSJed Brown   snes->usespc  = PETSC_FALSE;
55237e1895aSJed Brown   snes->usesksp = PETSC_TRUE;
55337e1895aSJed Brown 
55437e1895aSJed Brown   ierr = PetscNewLog(snes,SNES_MS,&ms);CHKERRQ(ierr);
55537e1895aSJed Brown   snes->data = (void*)ms;
55637e1895aSJed Brown   ms->damping = 0.9;
55737e1895aSJed Brown   ms->norms   = PETSC_FALSE;
55837e1895aSJed Brown 
55937e1895aSJed Brown   ierr = PetscObjectComposeFunctionDynamic((PetscObject)snes,"SNESMSSetType_C","SNESMSSetType_MS",SNESMSSetType_MS);CHKERRQ(ierr);
56037e1895aSJed Brown   PetscFunctionReturn(0);
56137e1895aSJed Brown }
56237e1895aSJed Brown EXTERN_C_END
563