1b45d2f2cSJed Brown #include <petsc-private/snesimpl.h> /*I "petscsnes.h" I*/ 237e1895aSJed Brown 319fd82e9SBarry Smith static 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 1181c84c290SBarry Smith .seealso: TSRosWRegister(), TSRosWRegisterAll(), TSRosWRegister() 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; 1291aa26658SKarl Rupp 13037e1895aSJed Brown ierr = PetscFree3(t->gamma,t->delta,t->betasub);CHKERRQ(ierr); 13137e1895aSJed Brown ierr = PetscFree(t->name);CHKERRQ(ierr); 13237e1895aSJed Brown ierr = PetscFree(link);CHKERRQ(ierr); 13337e1895aSJed Brown } 13437e1895aSJed Brown SNESMSRegisterAllCalled = PETSC_FALSE; 13537e1895aSJed Brown PetscFunctionReturn(0); 13637e1895aSJed Brown } 13737e1895aSJed Brown 13837e1895aSJed Brown #undef __FUNCT__ 13937e1895aSJed Brown #define __FUNCT__ "SNESMSInitializePackage" 14037e1895aSJed Brown /*@C 14137e1895aSJed Brown SNESMSInitializePackage - This function initializes everything in the SNESMS package. It is called 14237e1895aSJed Brown from PetscDLLibraryRegister() when using dynamic libraries, and on the first call to SNESCreate_MS() 14337e1895aSJed Brown when using static libraries. 14437e1895aSJed Brown 14537e1895aSJed Brown Level: developer 14637e1895aSJed Brown 14737e1895aSJed Brown .keywords: SNES, SNESMS, initialize, package 14837e1895aSJed Brown .seealso: PetscInitialize() 14937e1895aSJed Brown @*/ 150607a6623SBarry Smith PetscErrorCode SNESMSInitializePackage(void) 15137e1895aSJed Brown { 15237e1895aSJed Brown PetscErrorCode ierr; 15337e1895aSJed Brown 15437e1895aSJed Brown PetscFunctionBegin; 15537e1895aSJed Brown if (SNESMSPackageInitialized) PetscFunctionReturn(0); 15637e1895aSJed Brown SNESMSPackageInitialized = PETSC_TRUE; 1571aa26658SKarl Rupp 15837e1895aSJed Brown ierr = SNESMSRegisterAll();CHKERRQ(ierr); 15937e1895aSJed Brown ierr = PetscRegisterFinalize(SNESMSFinalizePackage);CHKERRQ(ierr); 16037e1895aSJed Brown PetscFunctionReturn(0); 16137e1895aSJed Brown } 16237e1895aSJed Brown 16337e1895aSJed Brown #undef __FUNCT__ 16437e1895aSJed Brown #define __FUNCT__ "SNESMSFinalizePackage" 16537e1895aSJed Brown /*@C 16637e1895aSJed Brown SNESMSFinalizePackage - This function destroys everything in the SNESMS package. It is 16737e1895aSJed Brown called from PetscFinalize(). 16837e1895aSJed Brown 16937e1895aSJed Brown Level: developer 17037e1895aSJed Brown 17137e1895aSJed Brown .keywords: Petsc, destroy, package 17237e1895aSJed Brown .seealso: PetscFinalize() 17337e1895aSJed Brown @*/ 17437e1895aSJed Brown PetscErrorCode SNESMSFinalizePackage(void) 17537e1895aSJed Brown { 17637e1895aSJed Brown PetscErrorCode ierr; 17737e1895aSJed Brown 17837e1895aSJed Brown PetscFunctionBegin; 17937e1895aSJed Brown SNESMSPackageInitialized = PETSC_FALSE; 1801aa26658SKarl Rupp 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 @*/ 20919fd82e9SBarry Smith PetscErrorCode SNESMSRegister(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; 2301aa26658SKarl Rupp 231dcca6d9dSJed Brown ierr = PetscMalloc3(nstages*nregisters,&t->gamma,nstages,&t->delta,nstages,&t->betasub);CHKERRQ(ierr); 23237e1895aSJed Brown ierr = PetscMemcpy(t->gamma,gamma,nstages*nregisters*sizeof(PetscReal));CHKERRQ(ierr); 23337e1895aSJed Brown ierr = PetscMemcpy(t->delta,delta,nstages*sizeof(PetscReal));CHKERRQ(ierr); 23437e1895aSJed Brown ierr = PetscMemcpy(t->betasub,betasub,nstages*sizeof(PetscReal));CHKERRQ(ierr); 23537e1895aSJed Brown 23637e1895aSJed Brown link->next = SNESMSTableauList; 23737e1895aSJed Brown SNESMSTableauList = link; 23837e1895aSJed Brown PetscFunctionReturn(0); 23937e1895aSJed Brown } 24037e1895aSJed Brown 24137e1895aSJed Brown #undef __FUNCT__ 24237e1895aSJed Brown #define __FUNCT__ "SNESMSStep_3Sstar" 24337e1895aSJed Brown /* 24437e1895aSJed Brown X - initial state, updated in-place. 24537e1895aSJed Brown F - residual, computed at the initial X on input 24637e1895aSJed Brown */ 24737e1895aSJed Brown static PetscErrorCode SNESMSStep_3Sstar(SNES snes,Vec X,Vec F) 24837e1895aSJed Brown { 24937e1895aSJed Brown PetscErrorCode ierr; 25037e1895aSJed Brown SNES_MS *ms = (SNES_MS*)snes->data; 25137e1895aSJed Brown SNESMSTableau t = ms->tableau; 25237e1895aSJed Brown const PetscReal *gamma = t->gamma,*delta = t->delta,*betasub = t->betasub; 25337e1895aSJed Brown Vec S1,S2,S3,Y; 25437e1895aSJed Brown PetscInt i,nstages = t->nstages;; 25537e1895aSJed Brown 25637e1895aSJed Brown 25737e1895aSJed Brown PetscFunctionBegin; 25837e1895aSJed Brown Y = snes->work[0]; 25937e1895aSJed Brown S1 = X; 26037e1895aSJed Brown S2 = snes->work[1]; 26137e1895aSJed Brown S3 = snes->work[2]; 26237e1895aSJed Brown ierr = VecZeroEntries(S2);CHKERRQ(ierr); 26337e1895aSJed Brown ierr = VecCopy(X,S3);CHKERRQ(ierr); 26437e1895aSJed Brown for (i=0; i<nstages; i++) { 265da80777bSKarl Rupp Vec Ss[4]; 266da80777bSKarl Rupp PetscScalar scoeff[4]; 267da80777bSKarl Rupp 268da80777bSKarl Rupp Ss[0] = S1; Ss[1] = S2; Ss[2] = S3; Ss[3] = Y; 2691aa26658SKarl Rupp 270da80777bSKarl Rupp scoeff[0] = gamma[0*nstages+i]-(PetscReal)1.0; 271da80777bSKarl Rupp scoeff[1] = gamma[1*nstages+i]; 272da80777bSKarl Rupp scoeff[2] = gamma[2*nstages+i]; 273da80777bSKarl Rupp scoeff[3] = -betasub[i]*ms->damping; 2741aa26658SKarl Rupp 27537e1895aSJed Brown ierr = VecAXPY(S2,delta[i],S1);CHKERRQ(ierr); 27637e1895aSJed Brown if (i>0) { 27737e1895aSJed Brown ierr = SNESComputeFunction(snes,S1,F);CHKERRQ(ierr); 27837e1895aSJed Brown if (snes->domainerror) { 27937e1895aSJed Brown snes->reason = SNES_DIVERGED_FUNCTION_DOMAIN; 28037e1895aSJed Brown PetscFunctionReturn(0); 28137e1895aSJed Brown } 28237e1895aSJed Brown } 283d4211eb9SBarry Smith ierr = KSPSolve(snes->ksp,F,Y);CHKERRQ(ierr); 28437e1895aSJed Brown ierr = VecMAXPY(S1,4,scoeff,Ss);CHKERRQ(ierr); 28537e1895aSJed Brown } 28637e1895aSJed Brown PetscFunctionReturn(0); 28737e1895aSJed Brown } 28837e1895aSJed Brown 28937e1895aSJed Brown #undef __FUNCT__ 29037e1895aSJed Brown #define __FUNCT__ "SNESSolve_MS" 29137e1895aSJed Brown static PetscErrorCode SNESSolve_MS(SNES snes) 29237e1895aSJed Brown { 29337e1895aSJed Brown SNES_MS *ms = (SNES_MS*)snes->data; 29437e1895aSJed Brown Vec X = snes->vec_sol,F = snes->vec_func; 29537e1895aSJed Brown PetscReal fnorm; 29637e1895aSJed Brown PetscInt i; 29737e1895aSJed Brown PetscErrorCode ierr; 29837e1895aSJed Brown 29937e1895aSJed Brown PetscFunctionBegin; 300fffbeea8SBarry Smith ierr = PetscCitationsRegister(SNESCitation,&SNEScite);CHKERRQ(ierr); 30137e1895aSJed Brown snes->reason = SNES_CONVERGED_ITERATING; 302e04113cfSBarry Smith ierr = PetscObjectSAWsTakeAccess((PetscObject)snes);CHKERRQ(ierr); 30337e1895aSJed Brown snes->iter = 0; 30437e1895aSJed Brown snes->norm = 0.; 305e04113cfSBarry Smith ierr = PetscObjectSAWsGrantAccess((PetscObject)snes);CHKERRQ(ierr); 306e4ed7901SPeter Brune if (!snes->vec_func_init_set) { 30737e1895aSJed Brown ierr = SNESComputeFunction(snes,X,F);CHKERRQ(ierr); 30837e1895aSJed Brown if (snes->domainerror) { 30937e1895aSJed Brown snes->reason = SNES_DIVERGED_FUNCTION_DOMAIN; 31037e1895aSJed Brown PetscFunctionReturn(0); 31137e1895aSJed Brown } 3121aa26658SKarl Rupp } else snes->vec_func_init_set = PETSC_FALSE; 3131aa26658SKarl Rupp 31437e1895aSJed Brown if (snes->jacobian) { /* This method does not require a Jacobian, but it is usually preconditioned by PBJacobi */ 315*d1e9a80fSBarry Smith ierr = SNESComputeJacobian(snes,snes->vec_sol,snes->jacobian,snes->jacobian_pre);CHKERRQ(ierr); 31637e1895aSJed Brown } 31737e1895aSJed Brown if (ms->norms) { 31837e1895aSJed Brown ierr = VecNorm(F,NORM_2,&fnorm);CHKERRQ(ierr); /* fnorm <- ||F|| */ 319189a9710SBarry Smith if (PetscIsInfOrNanReal(fnorm)) { 320189a9710SBarry Smith snes->reason = SNES_DIVERGED_FNORM_NAN; 321189a9710SBarry Smith PetscFunctionReturn(0); 322189a9710SBarry Smith } 32337e1895aSJed Brown /* Monitor convergence */ 324e04113cfSBarry Smith ierr = PetscObjectSAWsTakeAccess((PetscObject)snes);CHKERRQ(ierr); 32537e1895aSJed Brown snes->iter = 0; 32637e1895aSJed Brown snes->norm = fnorm; 327e04113cfSBarry Smith ierr = PetscObjectSAWsGrantAccess((PetscObject)snes);CHKERRQ(ierr); 328a71f0d7dSBarry Smith ierr = SNESLogConvergenceHistory(snes,snes->norm,0);CHKERRQ(ierr); 32937e1895aSJed Brown ierr = SNESMonitor(snes,snes->iter,snes->norm);CHKERRQ(ierr); 33037e1895aSJed Brown 33137e1895aSJed Brown /* Test for convergence */ 33237e1895aSJed Brown ierr = (*snes->ops->converged)(snes,snes->iter,0.0,0.0,fnorm,&snes->reason,snes->cnvP);CHKERRQ(ierr); 33337e1895aSJed Brown if (snes->reason) PetscFunctionReturn(0); 33437e1895aSJed Brown } 33537e1895aSJed Brown 33637e1895aSJed Brown /* Call general purpose update function */ 33737e1895aSJed Brown if (snes->ops->update) { 33837e1895aSJed Brown ierr = (*snes->ops->update)(snes,snes->iter);CHKERRQ(ierr); 33937e1895aSJed Brown } 34037e1895aSJed Brown for (i = 0; i < snes->max_its; i++) { 34137e1895aSJed Brown ierr = SNESMSStep_3Sstar(snes,X,F);CHKERRQ(ierr); 34237e1895aSJed Brown 34337e1895aSJed Brown if (i+1 < snes->max_its || ms->norms) { 34437e1895aSJed Brown ierr = SNESComputeFunction(snes,X,F);CHKERRQ(ierr); 34537e1895aSJed Brown if (snes->domainerror) { 34637e1895aSJed Brown snes->reason = SNES_DIVERGED_FUNCTION_DOMAIN; 34737e1895aSJed Brown PetscFunctionReturn(0); 34837e1895aSJed Brown } 34937e1895aSJed Brown } 35037e1895aSJed Brown 35137e1895aSJed Brown if (ms->norms) { 35237e1895aSJed Brown ierr = VecNorm(F,NORM_2,&fnorm);CHKERRQ(ierr); /* fnorm <- ||F|| */ 353189a9710SBarry Smith if (PetscIsInfOrNanReal(fnorm)) { 354189a9710SBarry Smith snes->reason = SNES_DIVERGED_FNORM_NAN; 355189a9710SBarry Smith PetscFunctionReturn(0); 356189a9710SBarry Smith } 357189a9710SBarry Smith 35837e1895aSJed Brown /* Monitor convergence */ 359e04113cfSBarry Smith ierr = PetscObjectSAWsTakeAccess((PetscObject)snes);CHKERRQ(ierr); 36037e1895aSJed Brown snes->iter = i+1; 36137e1895aSJed Brown snes->norm = fnorm; 362e04113cfSBarry Smith ierr = PetscObjectSAWsGrantAccess((PetscObject)snes);CHKERRQ(ierr); 363a71f0d7dSBarry Smith ierr = SNESLogConvergenceHistory(snes,snes->norm,0);CHKERRQ(ierr); 36437e1895aSJed Brown ierr = SNESMonitor(snes,snes->iter,snes->norm);CHKERRQ(ierr); 36537e1895aSJed Brown 36637e1895aSJed Brown /* Test for convergence */ 36737e1895aSJed Brown ierr = (*snes->ops->converged)(snes,snes->iter,0.0,0.0,fnorm,&snes->reason,snes->cnvP);CHKERRQ(ierr); 36837e1895aSJed Brown if (snes->reason) PetscFunctionReturn(0); 36937e1895aSJed Brown } 37037e1895aSJed Brown 37137e1895aSJed Brown /* Call general purpose update function */ 37237e1895aSJed Brown if (snes->ops->update) { 37337e1895aSJed Brown ierr = (*snes->ops->update)(snes, snes->iter);CHKERRQ(ierr); 37437e1895aSJed Brown } 37537e1895aSJed Brown } 37637e1895aSJed Brown if (!snes->reason) snes->reason = SNES_CONVERGED_ITS; 37737e1895aSJed Brown PetscFunctionReturn(0); 37837e1895aSJed Brown } 37937e1895aSJed Brown 38037e1895aSJed Brown #undef __FUNCT__ 38137e1895aSJed Brown #define __FUNCT__ "SNESSetUp_MS" 38237e1895aSJed Brown static PetscErrorCode SNESSetUp_MS(SNES snes) 38337e1895aSJed Brown { 38437e1895aSJed Brown SNES_MS *ms = (SNES_MS*)snes->data; 38537e1895aSJed Brown PetscErrorCode ierr; 38637e1895aSJed Brown 38737e1895aSJed Brown PetscFunctionBegin; 38837e1895aSJed Brown if (!ms->tableau) {ierr = SNESMSSetType(snes,SNESMSDefault);CHKERRQ(ierr);} 389fa0ddf94SBarry Smith ierr = SNESSetWorkVecs(snes,3);CHKERRQ(ierr); 3906cab3a1bSJed Brown ierr = SNESSetUpMatrices(snes);CHKERRQ(ierr); 39137e1895aSJed Brown PetscFunctionReturn(0); 39237e1895aSJed Brown } 39337e1895aSJed Brown 39437e1895aSJed Brown #undef __FUNCT__ 39537e1895aSJed Brown #define __FUNCT__ "SNESReset_MS" 39637e1895aSJed Brown static PetscErrorCode SNESReset_MS(SNES snes) 39737e1895aSJed Brown { 39837e1895aSJed Brown 39937e1895aSJed Brown PetscFunctionBegin; 40037e1895aSJed Brown PetscFunctionReturn(0); 40137e1895aSJed Brown } 40237e1895aSJed Brown 40337e1895aSJed Brown #undef __FUNCT__ 40437e1895aSJed Brown #define __FUNCT__ "SNESDestroy_MS" 40537e1895aSJed Brown static PetscErrorCode SNESDestroy_MS(SNES snes) 40637e1895aSJed Brown { 40737e1895aSJed Brown PetscErrorCode ierr; 40837e1895aSJed Brown 40937e1895aSJed Brown PetscFunctionBegin; 41037e1895aSJed Brown ierr = PetscFree(snes->data);CHKERRQ(ierr); 411bdf89e91SBarry Smith ierr = PetscObjectComposeFunction((PetscObject)snes,"",NULL);CHKERRQ(ierr); 41237e1895aSJed Brown PetscFunctionReturn(0); 41337e1895aSJed Brown } 41437e1895aSJed Brown 41537e1895aSJed Brown #undef __FUNCT__ 41637e1895aSJed Brown #define __FUNCT__ "SNESView_MS" 41737e1895aSJed Brown static PetscErrorCode SNESView_MS(SNES snes,PetscViewer viewer) 41837e1895aSJed Brown { 41937e1895aSJed Brown PetscBool iascii; 42037e1895aSJed Brown PetscErrorCode ierr; 42137e1895aSJed Brown SNES_MS *ms = (SNES_MS*)snes->data; 42237e1895aSJed Brown 42337e1895aSJed Brown PetscFunctionBegin; 424251f4c67SDmitry Karpeev ierr = PetscObjectTypeCompare((PetscObject) viewer, PETSCVIEWERASCII, &iascii);CHKERRQ(ierr); 42537e1895aSJed Brown if (iascii) { 42637e1895aSJed Brown SNESMSTableau tab = ms->tableau; 42737e1895aSJed Brown ierr = PetscViewerASCIIPrintf(viewer," multi-stage method type: %s\n",tab ? tab->name : "not yet set");CHKERRQ(ierr); 42837e1895aSJed Brown } 42937e1895aSJed Brown PetscFunctionReturn(0); 43037e1895aSJed Brown } 43137e1895aSJed Brown 43237e1895aSJed Brown #undef __FUNCT__ 43337e1895aSJed Brown #define __FUNCT__ "SNESSetFromOptions_MS" 43437e1895aSJed Brown static PetscErrorCode SNESSetFromOptions_MS(SNES snes) 43537e1895aSJed Brown { 436725b86d8SJed Brown SNES_MS *ms = (SNES_MS*)snes->data; 43737e1895aSJed Brown PetscErrorCode ierr; 43837e1895aSJed Brown 43937e1895aSJed Brown PetscFunctionBegin; 44037e1895aSJed Brown ierr = PetscOptionsHead("SNES MS options");CHKERRQ(ierr); 44137e1895aSJed Brown { 44237e1895aSJed Brown SNESMSTableauLink link; 44337e1895aSJed Brown PetscInt count,choice; 44437e1895aSJed Brown PetscBool flg; 44537e1895aSJed Brown const char **namelist; 44637e1895aSJed Brown char mstype[256]; 44737e1895aSJed Brown 4488caf3d72SBarry Smith ierr = PetscStrncpy(mstype,SNESMSDefault,sizeof(mstype));CHKERRQ(ierr); 44937e1895aSJed Brown for (link=SNESMSTableauList,count=0; link; link=link->next,count++) ; 450785e854fSJed Brown ierr = PetscMalloc1(count,&namelist);CHKERRQ(ierr); 45137e1895aSJed Brown for (link=SNESMSTableauList,count=0; link; link=link->next,count++) namelist[count] = link->tab.name; 45237e1895aSJed Brown ierr = PetscOptionsEList("-snes_ms_type","Multistage smoother type","SNESMSSetType",(const char*const*)namelist,count,mstype,&choice,&flg);CHKERRQ(ierr); 45337e1895aSJed Brown ierr = SNESMSSetType(snes,flg ? namelist[choice] : mstype);CHKERRQ(ierr); 45437e1895aSJed Brown ierr = PetscFree(namelist);CHKERRQ(ierr); 4550298fd71SBarry Smith ierr = PetscOptionsReal("-snes_ms_damping","Damping for multistage method","SNESMSSetDamping",ms->damping,&ms->damping,NULL);CHKERRQ(ierr); 4560298fd71SBarry Smith ierr = PetscOptionsBool("-snes_ms_norms","Compute norms for monitoring","none",ms->norms,&ms->norms,NULL);CHKERRQ(ierr); 45737e1895aSJed Brown } 45837e1895aSJed Brown ierr = PetscOptionsTail();CHKERRQ(ierr); 45937e1895aSJed Brown PetscFunctionReturn(0); 46037e1895aSJed Brown } 46137e1895aSJed Brown 46237e1895aSJed Brown #undef __FUNCT__ 46337e1895aSJed Brown #define __FUNCT__ "SNESMSSetType_MS" 46437e1895aSJed Brown PetscErrorCode SNESMSSetType_MS(SNES snes,SNESMSType mstype) 46537e1895aSJed Brown { 46637e1895aSJed Brown PetscErrorCode ierr; 46737e1895aSJed Brown SNES_MS *ms = (SNES_MS*)snes->data; 46837e1895aSJed Brown SNESMSTableauLink link; 46937e1895aSJed Brown PetscBool match; 47037e1895aSJed Brown 47137e1895aSJed Brown PetscFunctionBegin; 47237e1895aSJed Brown if (ms->tableau) { 47337e1895aSJed Brown ierr = PetscStrcmp(ms->tableau->name,mstype,&match);CHKERRQ(ierr); 47437e1895aSJed Brown if (match) PetscFunctionReturn(0); 47537e1895aSJed Brown } 47637e1895aSJed Brown for (link = SNESMSTableauList; link; link=link->next) { 47737e1895aSJed Brown ierr = PetscStrcmp(link->tab.name,mstype,&match);CHKERRQ(ierr); 47837e1895aSJed Brown if (match) { 47937e1895aSJed Brown ierr = SNESReset_MS(snes);CHKERRQ(ierr); 48037e1895aSJed Brown ms->tableau = &link->tab; 48137e1895aSJed Brown PetscFunctionReturn(0); 48237e1895aSJed Brown } 48337e1895aSJed Brown } 484ce94432eSBarry Smith SETERRQ1(PetscObjectComm((PetscObject)snes),PETSC_ERR_ARG_UNKNOWN_TYPE,"Could not find '%s'",mstype); 48537e1895aSJed Brown PetscFunctionReturn(0); 48637e1895aSJed Brown } 48737e1895aSJed Brown 48837e1895aSJed Brown #undef __FUNCT__ 48937e1895aSJed Brown #define __FUNCT__ "SNESMSSetType" 49037e1895aSJed Brown /*@C 49137e1895aSJed Brown SNESMSSetType - Set the type of multistage smoother 49237e1895aSJed Brown 49337e1895aSJed Brown Logically collective 49437e1895aSJed Brown 49537e1895aSJed Brown Input Parameter: 49637e1895aSJed Brown + snes - nonlinear solver context 49737e1895aSJed Brown - mstype - type of multistage method 49837e1895aSJed Brown 49937e1895aSJed Brown Level: beginner 50037e1895aSJed Brown 50137e1895aSJed Brown .seealso: SNESMSGetType(), SNESMS 50237e1895aSJed Brown @*/ 50319fd82e9SBarry Smith PetscErrorCode SNESMSSetType(SNES snes,SNESMSType rostype) 50437e1895aSJed Brown { 50537e1895aSJed Brown PetscErrorCode ierr; 50637e1895aSJed Brown 50737e1895aSJed Brown PetscFunctionBegin; 50837e1895aSJed Brown PetscValidHeaderSpecific(snes,SNES_CLASSID,1); 50919fd82e9SBarry Smith ierr = PetscTryMethod(snes,"SNESMSSetType_C",(SNES,SNESMSType),(snes,rostype));CHKERRQ(ierr); 51037e1895aSJed Brown PetscFunctionReturn(0); 51137e1895aSJed Brown } 51237e1895aSJed Brown 51337e1895aSJed Brown /* -------------------------------------------------------------------------- */ 51437e1895aSJed Brown /*MC 51537e1895aSJed Brown SNESMS - multi-stage smoothers 51637e1895aSJed Brown 51737e1895aSJed Brown Options Database: 51837e1895aSJed Brown 51937e1895aSJed Brown + -snes_ms_type - type of multi-stage smoother 52037e1895aSJed Brown - -snes_ms_damping - damping for multi-stage method 52137e1895aSJed Brown 52237e1895aSJed Brown Notes: 52337e1895aSJed Brown These multistage methods are explicit Runge-Kutta methods that are often used as smoothers for 5246c9de887SHong Zhang FAS multigrid for transport problems. In the linear case, these are equivalent to polynomial smoothers (such as Chebyshev). 52537e1895aSJed Brown 52637e1895aSJed Brown Multi-stage smoothers should usually be preconditioned by point-block Jacobi to ensure proper scaling and to normalize the wave speeds. 52737e1895aSJed Brown 52837e1895aSJed Brown The methods are specified in low storage form (Ketcheson 2010). New methods can be registered with SNESMSRegister(). 52937e1895aSJed Brown 53037e1895aSJed Brown References: 53137e1895aSJed Brown 53237e1895aSJed Brown Ketcheson (2010) Runge-Kutta methods with minimum storage implementations. 53337e1895aSJed Brown 53437e1895aSJed Brown Jameson (1983) Solution of the Euler equations for two dimensional transonic flow by a multigrid method. 53537e1895aSJed Brown 53637e1895aSJed Brown Pierce and Giles (1997) Preconditioned multigrid methods for compressible flow calculations on stretched meshes. 53737e1895aSJed Brown 53837e1895aSJed Brown Level: beginner 53937e1895aSJed Brown 5406c9de887SHong Zhang .seealso: SNESCreate(), SNES, SNESSetType(), SNESMS, SNESFAS, KSPCHEBYSHEV 54137e1895aSJed Brown 54237e1895aSJed Brown M*/ 54337e1895aSJed Brown #undef __FUNCT__ 54437e1895aSJed Brown #define __FUNCT__ "SNESCreate_MS" 5458cc058d9SJed Brown PETSC_EXTERN PetscErrorCode SNESCreate_MS(SNES snes) 54637e1895aSJed Brown { 54737e1895aSJed Brown PetscErrorCode ierr; 54837e1895aSJed Brown SNES_MS *ms; 54937e1895aSJed Brown 55037e1895aSJed Brown PetscFunctionBegin; 551607a6623SBarry Smith ierr = SNESMSInitializePackage();CHKERRQ(ierr); 55237e1895aSJed Brown 55337e1895aSJed Brown snes->ops->setup = SNESSetUp_MS; 55437e1895aSJed Brown snes->ops->solve = SNESSolve_MS; 55537e1895aSJed Brown snes->ops->destroy = SNESDestroy_MS; 55637e1895aSJed Brown snes->ops->setfromoptions = SNESSetFromOptions_MS; 55737e1895aSJed Brown snes->ops->view = SNESView_MS; 55837e1895aSJed Brown snes->ops->reset = SNESReset_MS; 55937e1895aSJed Brown 56037e1895aSJed Brown snes->usespc = PETSC_FALSE; 56137e1895aSJed Brown snes->usesksp = PETSC_TRUE; 56237e1895aSJed Brown 563b00a9115SJed Brown ierr = PetscNewLog(snes,&ms);CHKERRQ(ierr); 56437e1895aSJed Brown snes->data = (void*)ms; 56537e1895aSJed Brown ms->damping = 0.9; 56637e1895aSJed Brown ms->norms = PETSC_FALSE; 56737e1895aSJed Brown 568bdf89e91SBarry Smith ierr = PetscObjectComposeFunction((PetscObject)snes,"SNESMSSetType_C",SNESMSSetType_MS);CHKERRQ(ierr); 56937e1895aSJed Brown PetscFunctionReturn(0); 57037e1895aSJed Brown } 57199e0435eSBarry Smith 572