1 /* 2 Objects which encapsulate finite element spaces and operations 3 */ 4 #pragma once 5 #include <petscdm.h> 6 #include <petscdt.h> 7 #include <petscfetypes.h> 8 #include <petscdstypes.h> 9 #include <petscspace.h> 10 #include <petscdualspace.h> 11 12 /* SUBMANSEC = FE */ 13 14 /*MC 15 PetscFEGeom - Structure for geometric information for `PetscFE` 16 17 Level: intermediate 18 19 .seealso: `PetscFE`, `PetscFEGeomCreate()`, `PetscFEGeomDestroy()`, `PetscFEGeomGetChunk()`, `PetscFEGeomRestoreChunk()`, `PetscFEGeomGetPoint()`, `PetscFEGeomGetCellPoint()`, 20 `PetscFEGeomComplete()`, `PetscSpace`, `PetscDualSpace` 21 M*/ 22 typedef struct _n_PetscFEGeom { 23 const PetscReal *xi; 24 PetscReal *v; /* v[Nc*Np*dE]: The first point in each each in real coordinates */ 25 PetscReal *J; /* J[Nc*Np*dE*dE]: The Jacobian of the map from reference to real coordinates (if nonsquare it is completed with orthogonal columns) */ 26 PetscReal *invJ; /* invJ[Nc*Np*dE*dE]: The inverse of the Jacobian of the map from reference to real coordinates (if nonsquare it is completed with orthogonal columns) */ 27 PetscReal *detJ; /* detJ[Nc*Np]: The determinant of J, and if it is non-square its the volume change */ 28 PetscReal *n; /* n[Nc*Np*dE]: For faces, the normal to the face in real coordinates, outward for the first supporting cell */ 29 PetscInt (*face)[4]; /* face[Nc][s*2]: For faces, the local face number (cone index) and orientation for this face in each supporting cell s */ 30 PetscReal *suppJ[2]; /* sJ[s][Nc*Np*dE*dE]: For faces, the Jacobian for each supporting cell s */ 31 PetscReal *suppInvJ[2]; /* sInvJ[s][Nc*Np*dE*dE]: For faces, the inverse Jacobian for each supporting cell s */ 32 PetscReal *suppDetJ[2]; /* sInvJ[s][Nc*Np*dE*dE]: For faces, the Jacobian determinant for each supporting cell s */ 33 PetscInt dim; /* dim: Topological dimension */ 34 PetscInt dimEmbed; /* dE: coordinate dimension */ 35 PetscInt numCells; /* Nc: Number of mesh points represented in the arrays */ 36 PetscInt numPoints; /* Np: Number of evaluation points represented in the arrays */ 37 PetscBool isAffine; /* Flag for affine transforms */ 38 PetscBool isCohesive; /* Flag for a cohesive cell */ 39 } PetscFEGeom; 40 41 PETSC_EXTERN PetscErrorCode PetscFEInitializePackage(void); 42 43 PETSC_EXTERN PetscErrorCode PetscFEGeomCreate(PetscQuadrature, PetscInt, PetscInt, PetscBool, PetscFEGeom **); 44 PETSC_EXTERN PetscErrorCode PetscFEGeomGetChunk(PetscFEGeom *, PetscInt, PetscInt, PetscFEGeom **); 45 PETSC_EXTERN PetscErrorCode PetscFEGeomRestoreChunk(PetscFEGeom *, PetscInt, PetscInt, PetscFEGeom **); 46 PETSC_EXTERN PetscErrorCode PetscFEGeomGetPoint(PetscFEGeom *, PetscInt, PetscInt, const PetscReal[], PetscFEGeom *); 47 PETSC_EXTERN PetscErrorCode PetscFEGeomGetCellPoint(PetscFEGeom *, PetscInt, PetscInt, PetscFEGeom *); 48 PETSC_EXTERN PetscErrorCode PetscFEGeomComplete(PetscFEGeom *); 49 PETSC_EXTERN PetscErrorCode PetscFEGeomDestroy(PetscFEGeom **); 50 51 PETSC_EXTERN PetscErrorCode PetscDualSpaceApply(PetscDualSpace, PetscInt, PetscReal, PetscFEGeom *, PetscInt, PetscErrorCode (*)(PetscInt, PetscReal, const PetscReal[], PetscInt, PetscScalar *, void *), void *, PetscScalar *); 52 PETSC_EXTERN PetscErrorCode PetscDualSpaceApplyDefault(PetscDualSpace, PetscInt, PetscReal, PetscFEGeom *, PetscInt, PetscErrorCode (*)(PetscInt, PetscReal, const PetscReal[], PetscInt, PetscScalar *, void *), void *, PetscScalar *); 53 54 PETSC_EXTERN PetscErrorCode PetscDualSpaceTransform(PetscDualSpace, PetscDualSpaceTransformType, PetscBool, PetscFEGeom *, PetscInt, PetscInt, PetscScalar[]); 55 PETSC_EXTERN PetscErrorCode PetscDualSpaceTransformGradient(PetscDualSpace, PetscDualSpaceTransformType, PetscBool, PetscFEGeom *, PetscInt, PetscInt, PetscScalar[]); 56 PETSC_EXTERN PetscErrorCode PetscDualSpaceTransformHessian(PetscDualSpace, PetscDualSpaceTransformType, PetscBool, PetscFEGeom *, PetscInt, PetscInt, PetscScalar[]); 57 PETSC_EXTERN PetscErrorCode PetscDualSpacePullback(PetscDualSpace, PetscFEGeom *, PetscInt, PetscInt, PetscScalar[]); 58 PETSC_EXTERN PetscErrorCode PetscDualSpacePushforward(PetscDualSpace, PetscFEGeom *, PetscInt, PetscInt, PetscScalar[]); 59 PETSC_EXTERN PetscErrorCode PetscDualSpacePushforwardGradient(PetscDualSpace, PetscFEGeom *, PetscInt, PetscInt, PetscScalar[]); 60 PETSC_EXTERN PetscErrorCode PetscDualSpacePushforwardHessian(PetscDualSpace, PetscFEGeom *, PetscInt, PetscInt, PetscScalar[]); 61 62 PETSC_EXTERN PetscClassId PETSCFE_CLASSID; 63 64 /*J 65 PetscFEType - String with the name of a PETSc finite element space 66 67 Level: beginner 68 69 Note: 70 Currently, the classes are concerned with the implementation of element integration 71 72 .seealso: `PetscFESetType()`, `PetscFE` 73 J*/ 74 typedef const char *PetscFEType; 75 #define PETSCFEBASIC "basic" 76 #define PETSCFEOPENCL "opencl" 77 #define PETSCFECOMPOSITE "composite" 78 #define PETSCFEVECTOR "vector" 79 80 PETSC_EXTERN PetscFunctionList PetscFEList; 81 PETSC_EXTERN PetscErrorCode PetscFECreate(MPI_Comm, PetscFE *); 82 PETSC_EXTERN PetscErrorCode PetscFEDestroy(PetscFE *); 83 PETSC_EXTERN PetscErrorCode PetscFESetType(PetscFE, PetscFEType); 84 PETSC_EXTERN PetscErrorCode PetscFEGetType(PetscFE, PetscFEType *); 85 PETSC_EXTERN PetscErrorCode PetscFESetUp(PetscFE); 86 PETSC_EXTERN PetscErrorCode PetscFESetFromOptions(PetscFE); 87 PETSC_EXTERN PetscErrorCode PetscFEViewFromOptions(PetscFE, PetscObject, const char[]); 88 PETSC_EXTERN PetscErrorCode PetscFESetName(PetscFE, const char[]); 89 PETSC_EXTERN PetscErrorCode PetscFECreateVector(PetscFE, PetscInt, PetscBool, PetscBool, PetscFE *); 90 91 PETSC_EXTERN PetscErrorCode PetscFEView(PetscFE, PetscViewer); 92 PETSC_EXTERN PetscErrorCode PetscFERegister(const char[], PetscErrorCode (*)(PetscFE)); 93 PETSC_EXTERN PetscErrorCode PetscFERegisterDestroy(void); 94 PETSC_EXTERN PetscErrorCode PetscFECreateDefault(MPI_Comm, PetscInt, PetscInt, PetscBool, const char[], PetscInt, PetscFE *); 95 PETSC_EXTERN PetscErrorCode PetscFECreateByCell(MPI_Comm, PetscInt, PetscInt, DMPolytopeType, const char[], PetscInt, PetscFE *); 96 PETSC_EXTERN PetscErrorCode PetscFECreateLagrange(MPI_Comm, PetscInt, PetscInt, PetscBool, PetscInt, PetscInt, PetscFE *); 97 PETSC_EXTERN PetscErrorCode PetscFECreateLagrangeByCell(MPI_Comm, PetscInt, PetscInt, DMPolytopeType, PetscInt, PetscInt, PetscFE *); 98 PETSC_EXTERN PetscErrorCode PetscFECreateFromSpaces(PetscSpace, PetscDualSpace, PetscQuadrature, PetscQuadrature, PetscFE *); 99 100 PETSC_EXTERN PetscErrorCode PetscFEGetDimension(PetscFE, PetscInt *); 101 PETSC_EXTERN PetscErrorCode PetscFEGetSpatialDimension(PetscFE, PetscInt *); 102 PETSC_EXTERN PetscErrorCode PetscFESetNumComponents(PetscFE, PetscInt); 103 PETSC_EXTERN PetscErrorCode PetscFEGetNumComponents(PetscFE, PetscInt *); 104 PETSC_EXTERN PetscErrorCode PetscFEGetTileSizes(PetscFE, PetscInt *, PetscInt *, PetscInt *, PetscInt *); 105 PETSC_EXTERN PetscErrorCode PetscFESetTileSizes(PetscFE, PetscInt, PetscInt, PetscInt, PetscInt); 106 PETSC_EXTERN PetscErrorCode PetscFESetBasisSpace(PetscFE, PetscSpace); 107 PETSC_EXTERN PetscErrorCode PetscFEGetBasisSpace(PetscFE, PetscSpace *); 108 PETSC_EXTERN PetscErrorCode PetscFESetDualSpace(PetscFE, PetscDualSpace); 109 PETSC_EXTERN PetscErrorCode PetscFEGetDualSpace(PetscFE, PetscDualSpace *); 110 PETSC_EXTERN PetscErrorCode PetscFESetQuadrature(PetscFE, PetscQuadrature); 111 PETSC_EXTERN PetscErrorCode PetscFEGetQuadrature(PetscFE, PetscQuadrature *); 112 PETSC_EXTERN PetscErrorCode PetscFESetFaceQuadrature(PetscFE, PetscQuadrature); 113 PETSC_EXTERN PetscErrorCode PetscFEGetFaceQuadrature(PetscFE, PetscQuadrature *); 114 PETSC_EXTERN PetscErrorCode PetscFECopyQuadrature(PetscFE, PetscFE); 115 PETSC_EXTERN PetscErrorCode PetscFEGetNumDof(PetscFE, const PetscInt **); 116 117 /* TODO: Need a function to reuse the memory when retabulating the same FE at different points */ 118 PETSC_EXTERN PetscErrorCode PetscFEGetCellTabulation(PetscFE, PetscInt, PetscTabulation *); 119 PETSC_EXTERN PetscErrorCode PetscFEGetFaceTabulation(PetscFE, PetscInt, PetscTabulation *); 120 PETSC_EXTERN PetscErrorCode PetscFEGetFaceCentroidTabulation(PetscFE, PetscTabulation *); 121 PETSC_EXTERN PetscErrorCode PetscFECreateTabulation(PetscFE, PetscInt, PetscInt, const PetscReal[], PetscInt, PetscTabulation *); 122 PETSC_EXTERN PetscErrorCode PetscFEComputeTabulation(PetscFE, PetscInt, const PetscReal[], PetscInt, PetscTabulation); 123 PETSC_EXTERN PetscErrorCode PetscTabulationDestroy(PetscTabulation *); 124 125 PETSC_EXTERN PetscErrorCode PetscFERefine(PetscFE, PetscFE *); 126 PETSC_EXTERN PetscErrorCode PetscFEGetHeightSubspace(PetscFE, PetscInt, PetscFE *); 127 128 PETSC_EXTERN PetscErrorCode PetscFECreateCellGeometry(PetscFE, PetscQuadrature, PetscFEGeom *); 129 PETSC_EXTERN PetscErrorCode PetscFEDestroyCellGeometry(PetscFE, PetscFEGeom *); 130 PETSC_EXTERN PetscErrorCode PetscFEPushforward(PetscFE, PetscFEGeom *, PetscInt, PetscScalar[]); 131 PETSC_EXTERN PetscErrorCode PetscFEPushforwardGradient(PetscFE, PetscFEGeom *, PetscInt, PetscScalar[]); 132 PETSC_EXTERN PetscErrorCode PetscFEPushforwardHessian(PetscFE, PetscFEGeom *, PetscInt, PetscScalar[]); 133 134 PETSC_EXTERN PetscErrorCode PetscFEIntegrate(PetscDS, PetscInt, PetscInt, PetscFEGeom *, const PetscScalar[], PetscDS, const PetscScalar[], PetscScalar[]); 135 PETSC_EXTERN PetscErrorCode PetscFEIntegrateBd(PetscDS, PetscInt, void (*)(PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[], const PetscScalar[], const PetscScalar[], const PetscInt[], const PetscInt[], const PetscScalar[], const PetscScalar[], const PetscScalar[], PetscReal, const PetscReal[], const PetscReal[], PetscInt, const PetscScalar[], PetscScalar[]), PetscInt, PetscFEGeom *, const PetscScalar[], PetscDS, const PetscScalar[], PetscScalar[]); 136 PETSC_EXTERN PetscErrorCode PetscFEIntegrateResidual(PetscDS, PetscFormKey, PetscInt, PetscFEGeom *, const PetscScalar[], const PetscScalar[], PetscDS, const PetscScalar[], PetscReal, PetscScalar[]); 137 PETSC_EXTERN PetscErrorCode PetscFEIntegrateBdResidual(PetscDS, PetscWeakForm, PetscFormKey, PetscInt, PetscFEGeom *, const PetscScalar[], const PetscScalar[], PetscDS, const PetscScalar[], PetscReal, PetscScalar[]); 138 PETSC_EXTERN PetscErrorCode PetscFEIntegrateHybridResidual(PetscDS, PetscDS, PetscFormKey, PetscInt, PetscInt, PetscFEGeom *, const PetscScalar[], const PetscScalar[], PetscDS, const PetscScalar[], PetscReal, PetscScalar[]); 139 PETSC_EXTERN PetscErrorCode PetscFEIntegrateJacobian(PetscDS, PetscFEJacobianType, PetscFormKey, PetscInt, PetscFEGeom *, const PetscScalar[], const PetscScalar[], PetscDS, const PetscScalar[], PetscReal, PetscReal, PetscScalar[]); 140 PETSC_EXTERN PetscErrorCode PetscFEIntegrateBdJacobian(PetscDS, PetscWeakForm, PetscFEJacobianType, PetscFormKey, PetscInt, PetscFEGeom *, const PetscScalar[], const PetscScalar[], PetscDS, const PetscScalar[], PetscReal, PetscReal, PetscScalar[]); 141 PETSC_EXTERN PetscErrorCode PetscFEIntegrateHybridJacobian(PetscDS, PetscDS, PetscFEJacobianType, PetscFormKey, PetscInt, PetscInt, PetscFEGeom *, const PetscScalar[], const PetscScalar[], PetscDS, const PetscScalar[], PetscReal, PetscReal, PetscScalar[]); 142 143 PETSC_EXTERN PetscErrorCode PetscFECompositeGetMapping(PetscFE, PetscInt *, const PetscReal *[], const PetscReal *[], const PetscReal *[]); 144 145 PETSC_EXTERN PetscErrorCode PetscFECreateHeightTrace(PetscFE, PetscInt, PetscFE *); 146 PETSC_EXTERN PetscErrorCode PetscFECreatePointTrace(PetscFE, PetscInt, PetscFE *); 147 148 PETSC_EXTERN PetscErrorCode PetscFEOpenCLSetRealType(PetscFE, PetscDataType); 149 PETSC_EXTERN PetscErrorCode PetscFEOpenCLGetRealType(PetscFE, PetscDataType *); 150 151 #ifdef PETSC_HAVE_LIBCEED 152 153 #ifndef PLEXFE_QFUNCTION 154 #define PLEXFE_QFUNCTION(fname, f0_name, f1_name) \ 155 CEED_QFUNCTION(PlexQFunction##fname)(void *ctx, const CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) \ 156 { \ 157 const CeedScalar *u = in[0], *du = in[1], *qdata = in[2]; \ 158 CeedScalar *v = out[0], *dv = out[1]; \ 159 const PetscInt Nc = 1; \ 160 const PetscInt cdim = 2; \ 161 \ 162 CeedPragmaSIMD for (CeedInt i = 0; i < Q; ++i) \ 163 { \ 164 const PetscInt uOff[2] = {0, Nc}; \ 165 const PetscInt uOff_x[2] = {0, Nc * cdim}; \ 166 const CeedScalar x[2] = {qdata[i + Q * 1], qdata[i + Q * 2]}; \ 167 const CeedScalar invJ[2][2] = { \ 168 {qdata[i + Q * 3], qdata[i + Q * 5]}, \ 169 {qdata[i + Q * 4], qdata[i + Q * 6]} \ 170 }; \ 171 const CeedScalar u_x[2] = {invJ[0][0] * du[i + Q * 0] + invJ[1][0] * du[i + Q * 1], invJ[0][1] * du[i + Q * 0] + invJ[1][1] * du[i + Q * 1]}; \ 172 PetscScalar f0[Nc]; \ 173 PetscScalar f1[Nc * cdim]; \ 174 \ 175 for (PetscInt k = 0; k < Nc; ++k) f0[k] = 0; \ 176 for (PetscInt k = 0; k < Nc * cdim; ++k) f1[k] = 0; \ 177 f0_name(2, 1, 0, uOff, uOff_x, u, NULL, u_x, NULL, NULL, NULL, NULL, NULL, 0.0, x, 0, NULL, f0); \ 178 f1_name(2, 1, 0, uOff, uOff_x, u, NULL, u_x, NULL, NULL, NULL, NULL, NULL, 0.0, x, 0, NULL, f1); \ 179 \ 180 dv[i + Q * 0] = qdata[i + Q * 0] * (invJ[0][0] * f1[0] + invJ[0][1] * f1[1]); \ 181 dv[i + Q * 1] = qdata[i + Q * 0] * (invJ[1][0] * f1[0] + invJ[1][1] * f1[1]); \ 182 v[i] = qdata[i + Q * 0] * f0[0]; \ 183 } \ 184 return CEED_ERROR_SUCCESS; \ 185 } 186 #endif 187 188 #else 189 190 #ifndef PLEXFE_QFUNCTION 191 #define PLEXFE_QFUNCTION(fname, f0_name, f1_name) 192 #endif 193 194 #endif 195