1 /* 2 Objects which encapsulate finite element spaces and operations 3 */ 4 #pragma once 5 #include "petscmacros.h" 6 #include <petscdm.h> 7 #include <petscdt.h> 8 #include <petscfetypes.h> 9 #include <petscdstypes.h> 10 #include <petscspace.h> 11 #include <petscdualspace.h> 12 13 /* SUBMANSEC = FE */ 14 15 /*MC 16 PetscFEGeom - Structure for geometric information for `PetscFE` 17 18 Level: intermediate 19 20 Note: 21 This is a struct, not a `PetscObject` 22 23 .seealso: `PetscFE`, `PetscFEGeomCreate()`, `PetscFEGeomDestroy()`, `PetscFEGeomGetChunk()`, `PetscFEGeomRestoreChunk()`, `PetscFEGeomGetPoint()`, `PetscFEGeomGetCellPoint()`, 24 `PetscFEGeomComplete()`, `PetscSpace`, `PetscDualSpace` 25 M*/ 26 typedef struct _n_PetscFEGeom { 27 const PetscReal *xi; 28 PetscReal *v; /* v[Nc*Np*dE]: The first point in each each in real coordinates */ 29 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) */ 30 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) */ 31 PetscReal *detJ; /* detJ[Nc*Np]: The determinant of J, and if it is non-square its the volume change */ 32 PetscReal *n; /* n[Nc*Np*dE]: For faces, the normal to the face in real coordinates, outward for the first supporting cell */ 33 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 */ 34 PetscReal *suppJ[2]; /* sJ[s][Nc*Np*dE*dE]: For faces, the Jacobian for each supporting cell s */ 35 PetscReal *suppInvJ[2]; /* sInvJ[s][Nc*Np*dE*dE]: For faces, the inverse Jacobian for each supporting cell s */ 36 PetscReal *suppDetJ[2]; /* sInvJ[s][Nc*Np*dE*dE]: For faces, the Jacobian determinant for each supporting cell s */ 37 PetscInt dim; /* dim: Topological dimension */ 38 PetscInt dimEmbed; /* dE: coordinate dimension */ 39 PetscInt numCells; /* Nc: Number of mesh points represented in the arrays */ 40 PetscInt numPoints; /* Np: Number of evaluation points represented in the arrays */ 41 PetscBool isAffine; /* Flag for affine transforms */ 42 PetscBool isCohesive; /* Flag for a cohesive cell */ 43 } PetscFEGeom; 44 45 PETSC_EXTERN PetscErrorCode PetscFEInitializePackage(void); 46 47 PETSC_EXTERN PetscErrorCode PetscFEGeomCreate(PetscQuadrature, PetscInt, PetscInt, PetscBool, PetscFEGeom **); 48 PETSC_EXTERN PetscErrorCode PetscFEGeomGetChunk(PetscFEGeom *, PetscInt, PetscInt, PetscFEGeom **); 49 PETSC_EXTERN PetscErrorCode PetscFEGeomRestoreChunk(PetscFEGeom *, PetscInt, PetscInt, PetscFEGeom **); 50 PETSC_EXTERN PetscErrorCode PetscFEGeomGetPoint(PetscFEGeom *, PetscInt, PetscInt, const PetscReal[], PetscFEGeom *); 51 PETSC_EXTERN PetscErrorCode PetscFEGeomGetCellPoint(PetscFEGeom *, PetscInt, PetscInt, PetscFEGeom *); 52 PETSC_EXTERN PetscErrorCode PetscFEGeomComplete(PetscFEGeom *); 53 PETSC_EXTERN PetscErrorCode PetscFEGeomDestroy(PetscFEGeom **); 54 55 PETSC_EXTERN PetscErrorCode PetscDualSpaceApply(PetscDualSpace, PetscInt, PetscReal, PetscFEGeom *, PetscInt, PetscErrorCode (*)(PetscInt, PetscReal, const PetscReal[], PetscInt, PetscScalar *, void *), void *, PetscScalar *); 56 PETSC_EXTERN PetscErrorCode PetscDualSpaceApplyDefault(PetscDualSpace, PetscInt, PetscReal, PetscFEGeom *, PetscInt, PetscErrorCode (*)(PetscInt, PetscReal, const PetscReal[], PetscInt, PetscScalar *, void *), void *, PetscScalar *); 57 58 PETSC_EXTERN PetscErrorCode PetscDualSpaceTransform(PetscDualSpace, PetscDualSpaceTransformType, PetscBool, PetscFEGeom *, PetscInt, PetscInt, PetscScalar[]); 59 PETSC_EXTERN PetscErrorCode PetscDualSpaceTransformGradient(PetscDualSpace, PetscDualSpaceTransformType, PetscBool, PetscFEGeom *, PetscInt, PetscInt, PetscScalar[]); 60 PETSC_EXTERN PetscErrorCode PetscDualSpaceTransformHessian(PetscDualSpace, PetscDualSpaceTransformType, PetscBool, PetscFEGeom *, PetscInt, PetscInt, PetscScalar[]); 61 PETSC_EXTERN PetscErrorCode PetscDualSpacePullback(PetscDualSpace, PetscFEGeom *, PetscInt, PetscInt, PetscScalar[]); 62 PETSC_EXTERN PetscErrorCode PetscDualSpacePushforward(PetscDualSpace, PetscFEGeom *, PetscInt, PetscInt, PetscScalar[]); 63 PETSC_EXTERN PetscErrorCode PetscDualSpacePushforwardGradient(PetscDualSpace, PetscFEGeom *, PetscInt, PetscInt, PetscScalar[]); 64 PETSC_EXTERN PetscErrorCode PetscDualSpacePushforwardHessian(PetscDualSpace, PetscFEGeom *, PetscInt, PetscInt, PetscScalar[]); 65 66 PETSC_EXTERN PetscClassId PETSCFE_CLASSID; 67 68 /*J 69 PetscFEType - String with the name of a PETSc finite element space 70 71 Level: beginner 72 73 Note: 74 Currently, the classes are concerned with the implementation of element integration 75 76 .seealso: `PetscFESetType()`, `PetscFE` 77 J*/ 78 typedef const char *PetscFEType; 79 #define PETSCFEBASIC "basic" 80 #define PETSCFEOPENCL "opencl" 81 #define PETSCFECOMPOSITE "composite" 82 #define PETSCFEVECTOR "vector" 83 84 PETSC_EXTERN PetscFunctionList PetscFEList; 85 PETSC_EXTERN PetscErrorCode PetscFECreate(MPI_Comm, PetscFE *); 86 PETSC_EXTERN PetscErrorCode PetscFEDestroy(PetscFE *); 87 PETSC_EXTERN PetscErrorCode PetscFESetType(PetscFE, PetscFEType); 88 PETSC_EXTERN PetscErrorCode PetscFEGetType(PetscFE, PetscFEType *); 89 PETSC_EXTERN PetscErrorCode PetscFESetUp(PetscFE); 90 PETSC_EXTERN PetscErrorCode PetscFESetFromOptions(PetscFE); 91 PETSC_EXTERN PetscErrorCode PetscFEViewFromOptions(PetscFE, PetscObject, const char[]); 92 PETSC_EXTERN PetscErrorCode PetscFESetName(PetscFE, const char[]); 93 PETSC_EXTERN PetscErrorCode PetscFECreateVector(PetscFE, PetscInt, PetscBool, PetscBool, PetscFE *); 94 95 PETSC_EXTERN PetscErrorCode PetscFEView(PetscFE, PetscViewer); 96 PETSC_EXTERN PetscErrorCode PetscFERegister(const char[], PetscErrorCode (*)(PetscFE)); 97 PETSC_EXTERN PetscErrorCode PetscFERegisterDestroy(void); 98 PETSC_EXTERN PetscErrorCode PetscFECreateDefault(MPI_Comm, PetscInt, PetscInt, PetscBool, const char[], PetscInt, PetscFE *); 99 PETSC_EXTERN PetscErrorCode PetscFECreateByCell(MPI_Comm, PetscInt, PetscInt, DMPolytopeType, const char[], PetscInt, PetscFE *); 100 PETSC_EXTERN PetscErrorCode PetscFECreateLagrange(MPI_Comm, PetscInt, PetscInt, PetscBool, PetscInt, PetscInt, PetscFE *); 101 PETSC_EXTERN PetscErrorCode PetscFECreateLagrangeByCell(MPI_Comm, PetscInt, PetscInt, DMPolytopeType, PetscInt, PetscInt, PetscFE *); 102 PETSC_EXTERN PetscErrorCode PetscFECreateFromSpaces(PetscSpace, PetscDualSpace, PetscQuadrature, PetscQuadrature, PetscFE *); 103 PETSC_EXTERN PetscErrorCode PetscFELimitDegree(PetscFE, PetscInt, PetscInt, PetscFE *); 104 105 PETSC_EXTERN PetscErrorCode PetscFEGetDimension(PetscFE, PetscInt *); 106 PETSC_EXTERN PetscErrorCode PetscFEGetSpatialDimension(PetscFE, PetscInt *); 107 PETSC_EXTERN PetscErrorCode PetscFESetNumComponents(PetscFE, PetscInt); 108 PETSC_EXTERN PetscErrorCode PetscFEGetNumComponents(PetscFE, PetscInt *); 109 PETSC_EXTERN PetscErrorCode PetscFEGetTileSizes(PetscFE, PetscInt *, PetscInt *, PetscInt *, PetscInt *); 110 PETSC_EXTERN PetscErrorCode PetscFESetTileSizes(PetscFE, PetscInt, PetscInt, PetscInt, PetscInt); 111 PETSC_EXTERN PetscErrorCode PetscFESetBasisSpace(PetscFE, PetscSpace); 112 PETSC_EXTERN PetscErrorCode PetscFEGetBasisSpace(PetscFE, PetscSpace *); 113 PETSC_EXTERN PetscErrorCode PetscFESetDualSpace(PetscFE, PetscDualSpace); 114 PETSC_EXTERN PetscErrorCode PetscFEGetDualSpace(PetscFE, PetscDualSpace *); 115 PETSC_EXTERN PetscErrorCode PetscFESetQuadrature(PetscFE, PetscQuadrature); 116 PETSC_EXTERN PetscErrorCode PetscFEGetQuadrature(PetscFE, PetscQuadrature *); 117 PETSC_EXTERN PetscErrorCode PetscFESetFaceQuadrature(PetscFE, PetscQuadrature); 118 PETSC_EXTERN PetscErrorCode PetscFEGetFaceQuadrature(PetscFE, PetscQuadrature *); 119 PETSC_EXTERN PetscErrorCode PetscFECopyQuadrature(PetscFE, PetscFE); 120 PETSC_EXTERN PetscErrorCode PetscFEGetNumDof(PetscFE, const PetscInt **); 121 122 /* TODO: Need a function to reuse the memory when retabulating the same FE at different points */ 123 PETSC_EXTERN PetscErrorCode PetscFEGetCellTabulation(PetscFE, PetscInt, PetscTabulation *); 124 PETSC_EXTERN PetscErrorCode PetscFEGetFaceTabulation(PetscFE, PetscInt, PetscTabulation *); 125 PETSC_EXTERN PetscErrorCode PetscFEGetFaceCentroidTabulation(PetscFE, PetscTabulation *); 126 PETSC_EXTERN PetscErrorCode PetscFECreateTabulation(PetscFE, PetscInt, PetscInt, const PetscReal[], PetscInt, PetscTabulation *); 127 PETSC_EXTERN PetscErrorCode PetscFEComputeTabulation(PetscFE, PetscInt, const PetscReal[], PetscInt, PetscTabulation); 128 PETSC_EXTERN PetscErrorCode PetscTabulationDestroy(PetscTabulation *); 129 130 PETSC_EXTERN PetscErrorCode PetscFERefine(PetscFE, PetscFE *); 131 PETSC_EXTERN PetscErrorCode PetscFEGetHeightSubspace(PetscFE, PetscInt, PetscFE *); 132 133 PETSC_EXTERN PetscErrorCode PetscFECreateCellGeometry(PetscFE, PetscQuadrature, PetscFEGeom *); 134 PETSC_EXTERN PetscErrorCode PetscFEDestroyCellGeometry(PetscFE, PetscFEGeom *); 135 PETSC_EXTERN PetscErrorCode PetscFEPushforward(PetscFE, PetscFEGeom *, PetscInt, PetscScalar[]); 136 PETSC_EXTERN PetscErrorCode PetscFEPushforwardGradient(PetscFE, PetscFEGeom *, PetscInt, PetscScalar[]); 137 PETSC_EXTERN PetscErrorCode PetscFEPushforwardHessian(PetscFE, PetscFEGeom *, PetscInt, PetscScalar[]); 138 139 PETSC_EXTERN PetscErrorCode PetscFEIntegrate(PetscDS, PetscInt, PetscInt, PetscFEGeom *, const PetscScalar[], PetscDS, const PetscScalar[], PetscScalar[]); 140 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[]); 141 PETSC_EXTERN PetscErrorCode PetscFEIntegrateResidual(PetscDS, PetscFormKey, PetscInt, PetscFEGeom *, const PetscScalar[], const PetscScalar[], PetscDS, const PetscScalar[], PetscReal, PetscScalar[]); 142 PETSC_EXTERN PetscErrorCode PetscFEIntegrateBdResidual(PetscDS, PetscWeakForm, PetscFormKey, PetscInt, PetscFEGeom *, const PetscScalar[], const PetscScalar[], PetscDS, const PetscScalar[], PetscReal, PetscScalar[]); 143 PETSC_EXTERN PetscErrorCode PetscFEIntegrateHybridResidual(PetscDS, PetscDS, PetscFormKey, PetscInt, PetscInt, PetscFEGeom *, const PetscScalar[], const PetscScalar[], PetscDS, const PetscScalar[], PetscReal, PetscScalar[]); 144 PETSC_EXTERN PetscErrorCode PetscFEIntegrateJacobian(PetscDS, PetscFEJacobianType, PetscFormKey, PetscInt, PetscFEGeom *, const PetscScalar[], const PetscScalar[], PetscDS, const PetscScalar[], PetscReal, PetscReal, PetscScalar[]); 145 PETSC_EXTERN PetscErrorCode PetscFEIntegrateBdJacobian(PetscDS, PetscWeakForm, PetscFEJacobianType, PetscFormKey, PetscInt, PetscFEGeom *, const PetscScalar[], const PetscScalar[], PetscDS, const PetscScalar[], PetscReal, PetscReal, PetscScalar[]); 146 PETSC_EXTERN PetscErrorCode PetscFEIntegrateHybridJacobian(PetscDS, PetscDS, PetscFEJacobianType, PetscFormKey, PetscInt, PetscInt, PetscFEGeom *, const PetscScalar[], const PetscScalar[], PetscDS, const PetscScalar[], PetscReal, PetscReal, PetscScalar[]); 147 148 PETSC_EXTERN PetscErrorCode PetscFECompositeGetMapping(PetscFE, PetscInt *, const PetscReal *[], const PetscReal *[], const PetscReal *[]); 149 150 PETSC_EXTERN PetscErrorCode PetscFECreateHeightTrace(PetscFE, PetscInt, PetscFE *); 151 PETSC_EXTERN PetscErrorCode PetscFECreatePointTrace(PetscFE, PetscInt, PetscFE *); 152 153 PETSC_EXTERN PetscErrorCode PetscFEOpenCLSetRealType(PetscFE, PetscDataType); 154 PETSC_EXTERN PetscErrorCode PetscFEOpenCLGetRealType(PetscFE, PetscDataType *); 155 156 #ifdef PETSC_HAVE_LIBCEED 157 158 #ifndef PLEXFE_QFUNCTION 159 #define PLEXFE_QFUNCTION(fname, f0_name, f1_name) \ 160 CEED_QFUNCTION(PlexQFunction##fname)(void *ctx, const CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) \ 161 { \ 162 const CeedScalar *u = in[0], *du = in[1], *qdata = in[2]; \ 163 CeedScalar *v = out[0], *dv = out[1]; \ 164 const PetscInt Nc = 1; \ 165 const PetscInt cdim = 2; \ 166 \ 167 CeedPragmaSIMD for (CeedInt i = 0; i < Q; ++i) \ 168 { \ 169 const PetscInt uOff[2] = {0, Nc}; \ 170 const PetscInt uOff_x[2] = {0, Nc * cdim}; \ 171 const CeedScalar x[2] = {qdata[i + Q * 1], qdata[i + Q * 2]}; \ 172 const CeedScalar invJ[2][2] = { \ 173 {qdata[i + Q * 3], qdata[i + Q * 5]}, \ 174 {qdata[i + Q * 4], qdata[i + Q * 6]} \ 175 }; \ 176 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]}; \ 177 PetscScalar f0[Nc]; \ 178 PetscScalar f1[Nc * cdim]; \ 179 \ 180 for (PetscInt k = 0; k < Nc; ++k) f0[k] = 0; \ 181 for (PetscInt k = 0; k < Nc * cdim; ++k) f1[k] = 0; \ 182 f0_name(2, 1, 0, uOff, uOff_x, u, NULL, u_x, NULL, NULL, NULL, NULL, NULL, 0.0, x, 0, NULL, f0); \ 183 f1_name(2, 1, 0, uOff, uOff_x, u, NULL, u_x, NULL, NULL, NULL, NULL, NULL, 0.0, x, 0, NULL, f1); \ 184 \ 185 dv[i + Q * 0] = qdata[i + Q * 0] * (invJ[0][0] * f1[0] + invJ[0][1] * f1[1]); \ 186 dv[i + Q * 1] = qdata[i + Q * 0] * (invJ[1][0] * f1[0] + invJ[1][1] * f1[1]); \ 187 v[i] = qdata[i + Q * 0] * f0[0]; \ 188 } \ 189 return CEED_ERROR_SUCCESS; \ 190 } 191 #endif 192 193 #else 194 195 #ifndef PLEXFE_QFUNCTION 196 #define PLEXFE_QFUNCTION(fname, f0_name, f1_name) 197 #endif 198 199 #endif 200