1b45d2f2cSJed 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); 297*e4ed7901SPeter Brune if (!snes->vec_func_init_set) { 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 } 303*e4ed7901SPeter Brune } else { 304*e4ed7901SPeter Brune snes->vec_func_init_set = PETSC_FALSE; 305*e4ed7901SPeter Brune } 30637e1895aSJed Brown if (snes->jacobian) { /* This method does not require a Jacobian, but it is usually preconditioned by PBJacobi */ 30737e1895aSJed Brown ierr = SNESComputeJacobian(snes,snes->vec_sol,&snes->jacobian,&snes->jacobian_pre,&mstruct);CHKERRQ(ierr); 30837e1895aSJed Brown ierr = KSPSetOperators(snes->ksp,snes->jacobian,snes->jacobian_pre,mstruct);CHKERRQ(ierr); 30937e1895aSJed Brown } 31037e1895aSJed Brown if (ms->norms) { 311*e4ed7901SPeter Brune if (!snes->norm_init_set) { 31237e1895aSJed Brown ierr = VecNorm(F,NORM_2,&fnorm);CHKERRQ(ierr); /* fnorm <- ||F|| */ 31337e1895aSJed Brown if (PetscIsInfOrNanReal(fnorm)) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_FP,"Infinite or not-a-number generated in norm"); 314*e4ed7901SPeter Brune } else { 315*e4ed7901SPeter Brune fnorm = snes->norm_init; 316*e4ed7901SPeter Brune snes->norm_init_set = PETSC_FALSE; 317*e4ed7901SPeter Brune } 31837e1895aSJed Brown /* Monitor convergence */ 31937e1895aSJed Brown ierr = PetscObjectTakeAccess(snes);CHKERRQ(ierr); 32037e1895aSJed Brown snes->iter = 0; 32137e1895aSJed Brown snes->norm = fnorm; 32237e1895aSJed Brown ierr = PetscObjectGrantAccess(snes);CHKERRQ(ierr); 32337e1895aSJed Brown SNESLogConvHistory(snes,snes->norm,0); 32437e1895aSJed Brown ierr = SNESMonitor(snes,snes->iter,snes->norm);CHKERRQ(ierr); 32537e1895aSJed Brown 32637e1895aSJed Brown /* set parameter for default relative tolerance convergence test */ 32737e1895aSJed Brown snes->ttol = fnorm*snes->rtol; 32837e1895aSJed Brown /* Test for convergence */ 32937e1895aSJed Brown ierr = (*snes->ops->converged)(snes,snes->iter,0.0,0.0,fnorm,&snes->reason,snes->cnvP);CHKERRQ(ierr); 33037e1895aSJed Brown if (snes->reason) PetscFunctionReturn(0); 33137e1895aSJed Brown } 33237e1895aSJed Brown 33337e1895aSJed Brown /* Call general purpose update function */ 33437e1895aSJed Brown if (snes->ops->update) { 33537e1895aSJed Brown ierr = (*snes->ops->update)(snes,snes->iter);CHKERRQ(ierr); 33637e1895aSJed Brown } 33737e1895aSJed Brown for (i = 0; i < snes->max_its; i++) { 33837e1895aSJed Brown ierr = SNESMSStep_3Sstar(snes,X,F);CHKERRQ(ierr); 33937e1895aSJed Brown 34037e1895aSJed Brown if (i+1 < snes->max_its || ms->norms) { 34137e1895aSJed Brown ierr = SNESComputeFunction(snes,X,F);CHKERRQ(ierr); 34237e1895aSJed Brown if (snes->domainerror) { 34337e1895aSJed Brown snes->reason = SNES_DIVERGED_FUNCTION_DOMAIN; 34437e1895aSJed Brown PetscFunctionReturn(0); 34537e1895aSJed Brown } 34637e1895aSJed Brown } 34737e1895aSJed Brown 34837e1895aSJed Brown if (ms->norms) { 34937e1895aSJed Brown ierr = VecNorm(F,NORM_2,&fnorm);CHKERRQ(ierr); /* fnorm <- ||F|| */ 35037e1895aSJed Brown if (PetscIsInfOrNanReal(fnorm)) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_FP,"Infinite or not-a-number generated in norm"); 35137e1895aSJed Brown /* Monitor convergence */ 35237e1895aSJed Brown ierr = PetscObjectTakeAccess(snes);CHKERRQ(ierr); 35337e1895aSJed Brown snes->iter = i+1; 35437e1895aSJed Brown snes->norm = fnorm; 35537e1895aSJed Brown ierr = PetscObjectGrantAccess(snes);CHKERRQ(ierr); 35637e1895aSJed Brown SNESLogConvHistory(snes,snes->norm,0); 35737e1895aSJed Brown ierr = SNESMonitor(snes,snes->iter,snes->norm);CHKERRQ(ierr); 35837e1895aSJed Brown 35937e1895aSJed Brown /* Test for convergence */ 36037e1895aSJed Brown ierr = (*snes->ops->converged)(snes,snes->iter,0.0,0.0,fnorm,&snes->reason,snes->cnvP);CHKERRQ(ierr); 36137e1895aSJed Brown if (snes->reason) PetscFunctionReturn(0); 36237e1895aSJed Brown } 36337e1895aSJed Brown 36437e1895aSJed Brown /* Call general purpose update function */ 36537e1895aSJed Brown if (snes->ops->update) { 36637e1895aSJed Brown ierr = (*snes->ops->update)(snes, snes->iter);CHKERRQ(ierr); 36737e1895aSJed Brown } 36837e1895aSJed Brown } 36937e1895aSJed Brown if (!snes->reason) snes->reason = SNES_CONVERGED_ITS; 37037e1895aSJed Brown PetscFunctionReturn(0); 37137e1895aSJed Brown } 37237e1895aSJed Brown 37337e1895aSJed Brown #undef __FUNCT__ 37437e1895aSJed Brown #define __FUNCT__ "SNESSetUp_MS" 37537e1895aSJed Brown static PetscErrorCode SNESSetUp_MS(SNES snes) 37637e1895aSJed Brown { 37737e1895aSJed Brown SNES_MS * ms = (SNES_MS *)snes->data; 37837e1895aSJed Brown PetscErrorCode ierr; 37937e1895aSJed Brown 38037e1895aSJed Brown PetscFunctionBegin; 38137e1895aSJed Brown if (!ms->tableau) {ierr = SNESMSSetType(snes,SNESMSDefault);CHKERRQ(ierr);} 38237e1895aSJed Brown ierr = SNESDefaultGetWork(snes,3);CHKERRQ(ierr); 3836cab3a1bSJed Brown ierr = SNESSetUpMatrices(snes);CHKERRQ(ierr); 38437e1895aSJed Brown PetscFunctionReturn(0); 38537e1895aSJed Brown } 38637e1895aSJed Brown 38737e1895aSJed Brown #undef __FUNCT__ 38837e1895aSJed Brown #define __FUNCT__ "SNESReset_MS" 38937e1895aSJed Brown static PetscErrorCode SNESReset_MS(SNES snes) 39037e1895aSJed Brown { 39137e1895aSJed Brown 39237e1895aSJed Brown PetscFunctionBegin; 39337e1895aSJed Brown PetscFunctionReturn(0); 39437e1895aSJed Brown } 39537e1895aSJed Brown 39637e1895aSJed Brown #undef __FUNCT__ 39737e1895aSJed Brown #define __FUNCT__ "SNESDestroy_MS" 39837e1895aSJed Brown static PetscErrorCode SNESDestroy_MS(SNES snes) 39937e1895aSJed Brown { 40037e1895aSJed Brown PetscErrorCode ierr; 40137e1895aSJed Brown 40237e1895aSJed Brown PetscFunctionBegin; 40337e1895aSJed Brown ierr = PetscFree(snes->data);CHKERRQ(ierr); 40437e1895aSJed Brown ierr = PetscObjectComposeFunctionDynamic((PetscObject)snes,"","",PETSC_NULL);CHKERRQ(ierr); 40537e1895aSJed Brown PetscFunctionReturn(0); 40637e1895aSJed Brown } 40737e1895aSJed Brown 40837e1895aSJed Brown #undef __FUNCT__ 40937e1895aSJed Brown #define __FUNCT__ "SNESView_MS" 41037e1895aSJed Brown static PetscErrorCode SNESView_MS(SNES snes,PetscViewer viewer) 41137e1895aSJed Brown { 41237e1895aSJed Brown PetscBool iascii; 41337e1895aSJed Brown PetscErrorCode ierr; 41437e1895aSJed Brown SNES_MS *ms = (SNES_MS*)snes->data; 41537e1895aSJed Brown 41637e1895aSJed Brown PetscFunctionBegin; 41737e1895aSJed Brown ierr = PetscTypeCompare((PetscObject) viewer, PETSCVIEWERASCII, &iascii);CHKERRQ(ierr); 41837e1895aSJed Brown if (iascii) { 41937e1895aSJed Brown SNESMSTableau tab = ms->tableau; 42037e1895aSJed Brown ierr = PetscViewerASCIIPrintf(viewer," multi-stage method type: %s\n",tab?tab->name:"not yet set");CHKERRQ(ierr); 42137e1895aSJed Brown } 42237e1895aSJed Brown PetscFunctionReturn(0); 42337e1895aSJed Brown } 42437e1895aSJed Brown 42537e1895aSJed Brown #undef __FUNCT__ 42637e1895aSJed Brown #define __FUNCT__ "SNESSetFromOptions_MS" 42737e1895aSJed Brown static PetscErrorCode SNESSetFromOptions_MS(SNES snes) 42837e1895aSJed Brown { 429725b86d8SJed Brown SNES_MS *ms = (SNES_MS*)snes->data; 43037e1895aSJed Brown PetscErrorCode ierr; 43137e1895aSJed Brown 43237e1895aSJed Brown PetscFunctionBegin; 43337e1895aSJed Brown ierr = PetscOptionsHead("SNES MS options");CHKERRQ(ierr); 43437e1895aSJed Brown { 43537e1895aSJed Brown SNESMSTableauLink link; 43637e1895aSJed Brown PetscInt count,choice; 43737e1895aSJed Brown PetscBool flg; 43837e1895aSJed Brown const char **namelist; 43937e1895aSJed Brown char mstype[256]; 44037e1895aSJed Brown 44137e1895aSJed Brown ierr = PetscStrncpy(mstype,SNESMSDefault,sizeof mstype);CHKERRQ(ierr); 44237e1895aSJed Brown for (link=SNESMSTableauList,count=0; link; link=link->next,count++) ; 44337e1895aSJed Brown ierr = PetscMalloc(count*sizeof(char*),&namelist);CHKERRQ(ierr); 44437e1895aSJed Brown for (link=SNESMSTableauList,count=0; link; link=link->next,count++) namelist[count] = link->tab.name; 44537e1895aSJed Brown ierr = PetscOptionsEList("-snes_ms_type","Multistage smoother type","SNESMSSetType",(const char*const*)namelist,count,mstype,&choice,&flg);CHKERRQ(ierr); 44637e1895aSJed Brown ierr = SNESMSSetType(snes,flg ? namelist[choice] : mstype);CHKERRQ(ierr); 44737e1895aSJed Brown ierr = PetscFree(namelist);CHKERRQ(ierr); 44837e1895aSJed Brown ierr = PetscOptionsReal("-snes_ms_damping","Damping for multistage method","SNESMSSetDamping",ms->damping,&ms->damping,PETSC_NULL);CHKERRQ(ierr); 44937e1895aSJed Brown ierr = PetscOptionsBool("-snes_ms_norms","Compute norms for monitoring","none",ms->norms,&ms->norms,PETSC_NULL);CHKERRQ(ierr); 45037e1895aSJed Brown } 45137e1895aSJed Brown ierr = PetscOptionsTail();CHKERRQ(ierr); 45237e1895aSJed Brown PetscFunctionReturn(0); 45337e1895aSJed Brown } 45437e1895aSJed Brown 45537e1895aSJed Brown EXTERN_C_BEGIN 45637e1895aSJed Brown #undef __FUNCT__ 45737e1895aSJed Brown #define __FUNCT__ "SNESMSSetType_MS" 45837e1895aSJed Brown PetscErrorCode SNESMSSetType_MS(SNES snes,SNESMSType mstype) 45937e1895aSJed Brown { 46037e1895aSJed Brown PetscErrorCode ierr; 46137e1895aSJed Brown SNES_MS *ms = (SNES_MS*)snes->data; 46237e1895aSJed Brown SNESMSTableauLink link; 46337e1895aSJed Brown PetscBool match; 46437e1895aSJed Brown 46537e1895aSJed Brown PetscFunctionBegin; 46637e1895aSJed Brown if (ms->tableau) { 46737e1895aSJed Brown ierr = PetscStrcmp(ms->tableau->name,mstype,&match);CHKERRQ(ierr); 46837e1895aSJed Brown if (match) PetscFunctionReturn(0); 46937e1895aSJed Brown } 47037e1895aSJed Brown for (link = SNESMSTableauList; link; link=link->next) { 47137e1895aSJed Brown ierr = PetscStrcmp(link->tab.name,mstype,&match);CHKERRQ(ierr); 47237e1895aSJed Brown if (match) { 47337e1895aSJed Brown ierr = SNESReset_MS(snes);CHKERRQ(ierr); 47437e1895aSJed Brown ms->tableau = &link->tab; 47537e1895aSJed Brown PetscFunctionReturn(0); 47637e1895aSJed Brown } 47737e1895aSJed Brown } 47837e1895aSJed Brown SETERRQ1(((PetscObject)snes)->comm,PETSC_ERR_ARG_UNKNOWN_TYPE,"Could not find '%s'",mstype); 47937e1895aSJed Brown PetscFunctionReturn(0); 48037e1895aSJed Brown } 48137e1895aSJed Brown EXTERN_C_END 48237e1895aSJed Brown 48337e1895aSJed Brown 48437e1895aSJed Brown #undef __FUNCT__ 48537e1895aSJed Brown #define __FUNCT__ "SNESMSSetType" 48637e1895aSJed Brown /*@C 48737e1895aSJed Brown SNESMSSetType - Set the type of multistage smoother 48837e1895aSJed Brown 48937e1895aSJed Brown Logically collective 49037e1895aSJed Brown 49137e1895aSJed Brown Input Parameter: 49237e1895aSJed Brown + snes - nonlinear solver context 49337e1895aSJed Brown - mstype - type of multistage method 49437e1895aSJed Brown 49537e1895aSJed Brown Level: beginner 49637e1895aSJed Brown 49737e1895aSJed Brown .seealso: SNESMSGetType(), SNESMS 49837e1895aSJed Brown @*/ 49937e1895aSJed Brown PetscErrorCode SNESMSSetType(SNES snes,const SNESMSType rostype) 50037e1895aSJed Brown { 50137e1895aSJed Brown PetscErrorCode ierr; 50237e1895aSJed Brown 50337e1895aSJed Brown PetscFunctionBegin; 50437e1895aSJed Brown PetscValidHeaderSpecific(snes,SNES_CLASSID,1); 50537e1895aSJed Brown ierr = PetscTryMethod(snes,"SNESMSSetType_C",(SNES,const SNESMSType),(snes,rostype));CHKERRQ(ierr); 50637e1895aSJed Brown PetscFunctionReturn(0); 50737e1895aSJed Brown } 50837e1895aSJed Brown 50937e1895aSJed Brown /* -------------------------------------------------------------------------- */ 51037e1895aSJed Brown /*MC 51137e1895aSJed Brown SNESMS - multi-stage smoothers 51237e1895aSJed Brown 51337e1895aSJed Brown Options Database: 51437e1895aSJed Brown 51537e1895aSJed Brown + -snes_ms_type - type of multi-stage smoother 51637e1895aSJed Brown - -snes_ms_damping - damping for multi-stage method 51737e1895aSJed Brown 51837e1895aSJed Brown Notes: 51937e1895aSJed Brown These multistage methods are explicit Runge-Kutta methods that are often used as smoothers for 52037e1895aSJed Brown FAS multigrid for transport problems. In the linear case, these are equivalent to polynomial smoothers (such as Chebychev). 52137e1895aSJed Brown 52237e1895aSJed Brown Multi-stage smoothers should usually be preconditioned by point-block Jacobi to ensure proper scaling and to normalize the wave speeds. 52337e1895aSJed Brown 52437e1895aSJed Brown The methods are specified in low storage form (Ketcheson 2010). New methods can be registered with SNESMSRegister(). 52537e1895aSJed Brown 52637e1895aSJed Brown References: 52737e1895aSJed Brown 52837e1895aSJed Brown Ketcheson (2010) Runge-Kutta methods with minimum storage implementations. 52937e1895aSJed Brown 53037e1895aSJed Brown Jameson (1983) Solution of the Euler equations for two dimensional transonic flow by a multigrid method. 53137e1895aSJed Brown 53237e1895aSJed Brown Pierce and Giles (1997) Preconditioned multigrid methods for compressible flow calculations on stretched meshes. 53337e1895aSJed Brown 53437e1895aSJed Brown Level: beginner 53537e1895aSJed Brown 53637e1895aSJed Brown .seealso: SNESCreate(), SNES, SNESSetType(), SNESMS, SNESFAS, KSPCHEBYCHEV 53737e1895aSJed Brown 53837e1895aSJed Brown M*/ 53937e1895aSJed Brown EXTERN_C_BEGIN 54037e1895aSJed Brown #undef __FUNCT__ 54137e1895aSJed Brown #define __FUNCT__ "SNESCreate_MS" 54237e1895aSJed Brown PetscErrorCode SNESCreate_MS(SNES snes) 54337e1895aSJed Brown { 54437e1895aSJed Brown PetscErrorCode ierr; 54537e1895aSJed Brown SNES_MS *ms; 54637e1895aSJed Brown 54737e1895aSJed Brown PetscFunctionBegin; 54837e1895aSJed Brown #if !defined(PETSC_USE_DYNAMIC_LIBRARIES) 54937e1895aSJed Brown ierr = SNESMSInitializePackage(PETSC_NULL);CHKERRQ(ierr); 55037e1895aSJed Brown #endif 55137e1895aSJed Brown 55237e1895aSJed Brown snes->ops->setup = SNESSetUp_MS; 55337e1895aSJed Brown snes->ops->solve = SNESSolve_MS; 55437e1895aSJed Brown snes->ops->destroy = SNESDestroy_MS; 55537e1895aSJed Brown snes->ops->setfromoptions = SNESSetFromOptions_MS; 55637e1895aSJed Brown snes->ops->view = SNESView_MS; 55737e1895aSJed Brown snes->ops->reset = SNESReset_MS; 55837e1895aSJed Brown 55937e1895aSJed Brown snes->usespc = PETSC_FALSE; 56037e1895aSJed Brown snes->usesksp = PETSC_TRUE; 56137e1895aSJed Brown 56237e1895aSJed Brown ierr = PetscNewLog(snes,SNES_MS,&ms);CHKERRQ(ierr); 56337e1895aSJed Brown snes->data = (void*)ms; 56437e1895aSJed Brown ms->damping = 0.9; 56537e1895aSJed Brown ms->norms = PETSC_FALSE; 56637e1895aSJed Brown 56737e1895aSJed Brown ierr = PetscObjectComposeFunctionDynamic((PetscObject)snes,"SNESMSSetType_C","SNESMSSetType_MS",SNESMSSetType_MS);CHKERRQ(ierr); 56837e1895aSJed Brown PetscFunctionReturn(0); 56937e1895aSJed Brown } 57037e1895aSJed Brown EXTERN_C_END 571