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 /* MANSEC = DM */ 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 { 27 // We can represent several different types of geometry, which we call modes: 28 // basic: dim == dE, only bulk data 29 // These are normal dim-cells 30 // embedded: dim < dE, only bulk data 31 // These are dim-cells embedded in a higher dimension, as an embedded manifold 32 // boundary: dim < dE, bulk and face data 33 // These are dim-cells on the boundary of a dE-mesh 34 // cohesive: dim < dE, bulk and face data 35 // These are dim-cells in the interior of a dE-mesh 36 // affine: 37 // For all modes, the transforms between real and reference are affine 38 PetscFEGeomMode mode; // The type of geometric data stored 39 PetscBool isAffine; // Flag for affine transforms 40 // Sizes 41 PetscInt dim; // dim: topological dimension and reference coordinate dimension 42 PetscInt dimEmbed; // dE: real coordinate dimension 43 PetscInt numCells; // Nc: Number of mesh points represented in the arrays (points are assumed to be the same DMPolytopeType) 44 PetscInt numPoints; // Np: Number of evaluation points represented in the arrays 45 // Bulk data 46 const PetscReal *xi; // xi[dim] The first point in each cell in reference coordinates 47 PetscReal *v; // v[Nc*Np*dE]: The first point in each cell in real coordinates 48 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) 49 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) 50 PetscReal *detJ; // detJ[Nc*Np]: The determinant of J, and if J is non-square it is the volume change 51 // Face data 52 PetscReal *n; // n[Nc*Np*dE]: For faces, the normal to the face in real coordinates, outward for the first supporting cell 53 PetscInt (*face)[4]; // face[Nc][s*2]: For faces, the local face number (cone index) and orientation for this face in each supporting cell 54 PetscReal *suppJ[2]; // sJ[s][Nc*Np*dE*dE]: For faces, the Jacobian for each supporting cell 55 PetscReal *suppInvJ[2]; // sInvJ[s][Nc*Np*dE*dE]: For faces, the inverse Jacobian for each supporting cell 56 PetscReal *suppDetJ[2]; // sdetJ[s][Nc*Np]: For faces, the Jacobian determinant for each supporting cell 57 } PetscFEGeom; 58 59 PETSC_EXTERN PetscErrorCode PetscFEInitializePackage(void); 60 61 PETSC_EXTERN PetscErrorCode PetscFEGeomCreate(PetscQuadrature, PetscInt, PetscInt, PetscFEGeomMode, PetscFEGeom **); 62 PETSC_EXTERN PetscErrorCode PetscFEGeomGetChunk(PetscFEGeom *, PetscInt, PetscInt, PetscFEGeom **); 63 PETSC_EXTERN PetscErrorCode PetscFEGeomRestoreChunk(PetscFEGeom *, PetscInt, PetscInt, PetscFEGeom **); 64 PETSC_EXTERN PetscErrorCode PetscFEGeomGetPoint(PetscFEGeom *, PetscInt, PetscInt, const PetscReal[], PetscFEGeom *); 65 PETSC_EXTERN PetscErrorCode PetscFEGeomGetCellPoint(PetscFEGeom *, PetscInt, PetscInt, PetscFEGeom *); 66 PETSC_EXTERN PetscErrorCode PetscFEGeomComplete(PetscFEGeom *); 67 PETSC_EXTERN PetscErrorCode PetscFEGeomDestroy(PetscFEGeom **); 68 69 PETSC_EXTERN PetscErrorCode PetscDualSpaceApply(PetscDualSpace, PetscInt, PetscReal, PetscFEGeom *, PetscInt, PetscErrorCode (*)(PetscInt, PetscReal, const PetscReal[], PetscInt, PetscScalar *, void *), void *, PetscScalar *); 70 PETSC_EXTERN PetscErrorCode PetscDualSpaceApplyDefault(PetscDualSpace, PetscInt, PetscReal, PetscFEGeom *, PetscInt, PetscErrorCode (*)(PetscInt, PetscReal, const PetscReal[], PetscInt, PetscScalar *, void *), void *, PetscScalar *); 71 72 PETSC_EXTERN PetscErrorCode PetscDualSpaceTransform(PetscDualSpace, PetscDualSpaceTransformType, PetscBool, PetscFEGeom *, PetscInt, PetscInt, PetscScalar[]); 73 PETSC_EXTERN PetscErrorCode PetscDualSpaceTransformGradient(PetscDualSpace, PetscDualSpaceTransformType, PetscBool, PetscFEGeom *, PetscInt, PetscInt, PetscScalar[]); 74 PETSC_EXTERN PetscErrorCode PetscDualSpaceTransformHessian(PetscDualSpace, PetscDualSpaceTransformType, PetscBool, PetscFEGeom *, PetscInt, PetscInt, PetscScalar[]); 75 PETSC_EXTERN PetscErrorCode PetscDualSpacePullback(PetscDualSpace, PetscFEGeom *, PetscInt, PetscInt, PetscScalar[]); 76 PETSC_EXTERN PetscErrorCode PetscDualSpacePushforward(PetscDualSpace, PetscFEGeom *, PetscInt, PetscInt, PetscScalar[]); 77 PETSC_EXTERN PetscErrorCode PetscDualSpacePushforwardGradient(PetscDualSpace, PetscFEGeom *, PetscInt, PetscInt, PetscScalar[]); 78 PETSC_EXTERN PetscErrorCode PetscDualSpacePushforwardHessian(PetscDualSpace, PetscFEGeom *, PetscInt, PetscInt, PetscScalar[]); 79 80 PETSC_EXTERN PetscClassId PETSCFE_CLASSID; 81 82 /*J 83 PetscFEType - String with the name of a PETSc finite element space 84 85 Level: beginner 86 87 Note: 88 Currently, the classes are concerned with the implementation of element integration 89 90 .seealso: `PetscFESetType()`, `PetscFE` 91 J*/ 92 typedef const char *PetscFEType; 93 #define PETSCFEBASIC "basic" 94 #define PETSCFEOPENCL "opencl" 95 #define PETSCFECOMPOSITE "composite" 96 #define PETSCFEVECTOR "vector" 97 98 PETSC_EXTERN PetscFunctionList PetscFEList; 99 PETSC_EXTERN PetscErrorCode PetscFECreate(MPI_Comm, PetscFE *); 100 PETSC_EXTERN PetscErrorCode PetscFEDestroy(PetscFE *); 101 PETSC_EXTERN PetscErrorCode PetscFESetType(PetscFE, PetscFEType); 102 PETSC_EXTERN PetscErrorCode PetscFEGetType(PetscFE, PetscFEType *); 103 PETSC_EXTERN PetscErrorCode PetscFESetUp(PetscFE); 104 PETSC_EXTERN PetscErrorCode PetscFESetFromOptions(PetscFE); 105 PETSC_EXTERN PetscErrorCode PetscFEViewFromOptions(PetscFE, PetscObject, const char[]); 106 PETSC_EXTERN PetscErrorCode PetscFESetName(PetscFE, const char[]); 107 PETSC_EXTERN PetscErrorCode PetscFECreateVector(PetscFE, PetscInt, PetscBool, PetscBool, PetscFE *); 108 109 PETSC_EXTERN PetscErrorCode PetscFEView(PetscFE, PetscViewer); 110 PETSC_EXTERN PetscErrorCode PetscFERegister(const char[], PetscErrorCode (*)(PetscFE)); 111 PETSC_EXTERN PetscErrorCode PetscFERegisterDestroy(void); 112 PETSC_EXTERN PetscErrorCode PetscFECreateDefault(MPI_Comm, PetscInt, PetscInt, PetscBool, const char[], PetscInt, PetscFE *); 113 PETSC_EXTERN PetscErrorCode PetscFECreateByCell(MPI_Comm, PetscInt, PetscInt, DMPolytopeType, const char[], PetscInt, PetscFE *); 114 PETSC_EXTERN PetscErrorCode PetscFECreateLagrange(MPI_Comm, PetscInt, PetscInt, PetscBool, PetscInt, PetscInt, PetscFE *); 115 PETSC_EXTERN PetscErrorCode PetscFECreateLagrangeByCell(MPI_Comm, PetscInt, PetscInt, DMPolytopeType, PetscInt, PetscInt, PetscFE *); 116 PETSC_EXTERN PetscErrorCode PetscFECreateFromSpaces(PetscSpace, PetscDualSpace, PetscQuadrature, PetscQuadrature, PetscFE *); 117 PETSC_EXTERN PetscErrorCode PetscFELimitDegree(PetscFE, PetscInt, PetscInt, PetscFE *); 118 119 PETSC_EXTERN PetscErrorCode PetscFEGetDimension(PetscFE, PetscInt *); 120 PETSC_EXTERN PetscErrorCode PetscFEGetSpatialDimension(PetscFE, PetscInt *); 121 PETSC_EXTERN PetscErrorCode PetscFESetNumComponents(PetscFE, PetscInt); 122 PETSC_EXTERN PetscErrorCode PetscFEGetNumComponents(PetscFE, PetscInt *); 123 PETSC_EXTERN PetscErrorCode PetscFEGetTileSizes(PetscFE, PetscInt *, PetscInt *, PetscInt *, PetscInt *); 124 PETSC_EXTERN PetscErrorCode PetscFESetTileSizes(PetscFE, PetscInt, PetscInt, PetscInt, PetscInt); 125 PETSC_EXTERN PetscErrorCode PetscFESetBasisSpace(PetscFE, PetscSpace); 126 PETSC_EXTERN PetscErrorCode PetscFEGetBasisSpace(PetscFE, PetscSpace *); 127 PETSC_EXTERN PetscErrorCode PetscFESetDualSpace(PetscFE, PetscDualSpace); 128 PETSC_EXTERN PetscErrorCode PetscFEGetDualSpace(PetscFE, PetscDualSpace *); 129 PETSC_EXTERN PetscErrorCode PetscFESetQuadrature(PetscFE, PetscQuadrature); 130 PETSC_EXTERN PetscErrorCode PetscFEGetQuadrature(PetscFE, PetscQuadrature *); 131 PETSC_EXTERN PetscErrorCode PetscFESetFaceQuadrature(PetscFE, PetscQuadrature); 132 PETSC_EXTERN PetscErrorCode PetscFEGetFaceQuadrature(PetscFE, PetscQuadrature *); 133 PETSC_EXTERN PetscErrorCode PetscFEExpandFaceQuadrature(PetscFE, PetscQuadrature, PetscQuadrature *); 134 PETSC_EXTERN PetscErrorCode PetscFECopyQuadrature(PetscFE, PetscFE); 135 PETSC_EXTERN PetscErrorCode PetscFEGetNumDof(PetscFE, const PetscInt **); 136 137 /* TODO: Need a function to reuse the memory when retabulating the same FE at different points */ 138 PETSC_EXTERN PetscErrorCode PetscFEGetCellTabulation(PetscFE, PetscInt, PetscTabulation *); 139 PETSC_EXTERN PetscErrorCode PetscFEGetFaceTabulation(PetscFE, PetscInt, PetscTabulation *); 140 PETSC_EXTERN PetscErrorCode PetscFEGetFaceCentroidTabulation(PetscFE, PetscTabulation *); 141 PETSC_EXTERN PetscErrorCode PetscFECreateTabulation(PetscFE, PetscInt, PetscInt, const PetscReal[], PetscInt, PetscTabulation *); 142 PETSC_EXTERN PetscErrorCode PetscFEComputeTabulation(PetscFE, PetscInt, const PetscReal[], PetscInt, PetscTabulation); 143 PETSC_EXTERN PetscErrorCode PetscTabulationDestroy(PetscTabulation *); 144 145 PETSC_EXTERN PetscErrorCode PetscFERefine(PetscFE, PetscFE *); 146 PETSC_EXTERN PetscErrorCode PetscFEGetHeightSubspace(PetscFE, PetscInt, PetscFE *); 147 148 PETSC_EXTERN PetscErrorCode PetscFECreateCellGeometry(PetscFE, PetscQuadrature, PetscFEGeom *); 149 PETSC_EXTERN PetscErrorCode PetscFEDestroyCellGeometry(PetscFE, PetscFEGeom *); 150 PETSC_EXTERN PetscErrorCode PetscFEPushforward(PetscFE, PetscFEGeom *, PetscInt, PetscScalar[]); 151 PETSC_EXTERN PetscErrorCode PetscFEPushforwardGradient(PetscFE, PetscFEGeom *, PetscInt, PetscScalar[]); 152 PETSC_EXTERN PetscErrorCode PetscFEPushforwardHessian(PetscFE, PetscFEGeom *, PetscInt, PetscScalar[]); 153 154 PETSC_EXTERN PetscErrorCode PetscFEIntegrate(PetscDS, PetscInt, PetscInt, PetscFEGeom *, const PetscScalar[], PetscDS, const PetscScalar[], PetscScalar[]); 155 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[]); 156 PETSC_EXTERN PetscErrorCode PetscFEIntegrateResidual(PetscDS, PetscFormKey, PetscInt, PetscFEGeom *, const PetscScalar[], const PetscScalar[], PetscDS, const PetscScalar[], PetscReal, PetscScalar[]); 157 PETSC_EXTERN PetscErrorCode PetscFEIntegrateBdResidual(PetscDS, PetscWeakForm, PetscFormKey, PetscInt, PetscFEGeom *, const PetscScalar[], const PetscScalar[], PetscDS, const PetscScalar[], PetscReal, PetscScalar[]); 158 PETSC_EXTERN PetscErrorCode PetscFEIntegrateHybridResidual(PetscDS, PetscDS, PetscFormKey, PetscInt, PetscInt, PetscFEGeom *, PetscFEGeom *, const PetscScalar[], const PetscScalar[], PetscDS, const PetscScalar[], PetscReal, PetscScalar[]); 159 PETSC_EXTERN PetscErrorCode PetscFEIntegrateJacobian(PetscDS, PetscFEJacobianType, PetscFormKey, PetscInt, PetscFEGeom *, const PetscScalar[], const PetscScalar[], PetscDS, const PetscScalar[], PetscReal, PetscReal, PetscScalar[]); 160 PETSC_EXTERN PetscErrorCode PetscFEIntegrateBdJacobian(PetscDS, PetscWeakForm, PetscFEJacobianType, PetscFormKey, PetscInt, PetscFEGeom *, const PetscScalar[], const PetscScalar[], PetscDS, const PetscScalar[], PetscReal, PetscReal, PetscScalar[]); 161 PETSC_EXTERN PetscErrorCode PetscFEIntegrateHybridJacobian(PetscDS, PetscDS, PetscFEJacobianType, PetscFormKey, PetscInt, PetscInt, PetscFEGeom *, PetscFEGeom *, const PetscScalar[], const PetscScalar[], PetscDS, const PetscScalar[], PetscReal, PetscReal, PetscScalar[]); 162 163 PETSC_EXTERN PetscErrorCode PetscFECompositeGetMapping(PetscFE, PetscInt *, const PetscReal *[], const PetscReal *[], const PetscReal *[]); 164 165 PETSC_EXTERN PetscErrorCode PetscFECreateHeightTrace(PetscFE, PetscInt, PetscFE *); 166 PETSC_EXTERN PetscErrorCode PetscFECreatePointTrace(PetscFE, PetscInt, PetscFE *); 167 168 PETSC_EXTERN PetscErrorCode PetscFEOpenCLSetRealType(PetscFE, PetscDataType); 169 PETSC_EXTERN PetscErrorCode PetscFEOpenCLGetRealType(PetscFE, PetscDataType *); 170 171 #ifdef PETSC_HAVE_LIBCEED 172 173 #ifndef PLEXFE_QFUNCTION 174 #define PLEXFE_QFUNCTION(fname, f0_name, f1_name) \ 175 CEED_QFUNCTION(PlexQFunction##fname)(void *ctx, const CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) \ 176 { \ 177 const CeedScalar *u = in[0], *du = in[1], *qdata = in[2]; \ 178 CeedScalar *v = out[0], *dv = out[1]; \ 179 const PetscInt Nc = 1; \ 180 const PetscInt cdim = 2; \ 181 \ 182 CeedPragmaSIMD for (CeedInt i = 0; i < Q; ++i) \ 183 { \ 184 const PetscInt uOff[2] = {0, Nc}; \ 185 const PetscInt uOff_x[2] = {0, Nc * cdim}; \ 186 const CeedScalar x[2] = {qdata[i + Q * 1], qdata[i + Q * 2]}; \ 187 const CeedScalar invJ[2][2] = { \ 188 {qdata[i + Q * 3], qdata[i + Q * 5]}, \ 189 {qdata[i + Q * 4], qdata[i + Q * 6]} \ 190 }; \ 191 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]}; \ 192 PetscScalar f0[Nc]; \ 193 PetscScalar f1[Nc * cdim]; \ 194 \ 195 for (PetscInt k = 0; k < Nc; ++k) f0[k] = 0; \ 196 for (PetscInt k = 0; k < Nc * cdim; ++k) f1[k] = 0; \ 197 f0_name(2, 1, 0, uOff, uOff_x, u, NULL, u_x, NULL, NULL, NULL, NULL, NULL, 0.0, x, 0, NULL, f0); \ 198 f1_name(2, 1, 0, uOff, uOff_x, u, NULL, u_x, NULL, NULL, NULL, NULL, NULL, 0.0, x, 0, NULL, f1); \ 199 \ 200 dv[i + Q * 0] = qdata[i + Q * 0] * (invJ[0][0] * f1[0] + invJ[0][1] * f1[1]); \ 201 dv[i + Q * 1] = qdata[i + Q * 0] * (invJ[1][0] * f1[0] + invJ[1][1] * f1[1]); \ 202 v[i] = qdata[i + Q * 0] * f0[0]; \ 203 } \ 204 return CEED_ERROR_SUCCESS; \ 205 } 206 #endif 207 208 #else 209 210 #ifndef PLEXFE_QFUNCTION 211 #define PLEXFE_QFUNCTION(fname, f0_name, f1_name) 212 #endif 213 214 #endif 215