Actual source code: petscfe.h

  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>

 12: /* SUBMANSEC = FE */

 14: /*MC
 15:     PetscFEGeom - Structure for geometric information for `PetscFE`

 17:     Level: intermediate

 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;

 41: PETSC_EXTERN PetscErrorCode PetscFEInitializePackage(void);

 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 **);

 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 *);

 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[]);

 62: PETSC_EXTERN PetscClassId PETSCFE_CLASSID;

 64: /*J
 65:   PetscFEType - String with the name of a PETSc finite element space

 67:   Level: beginner

 69:   Note:
 70:   Currently, the classes are concerned with the implementation of element integration

 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"

 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 *);

 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 *);

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 **);

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 *);

125: PETSC_EXTERN PetscErrorCode PetscFERefine(PetscFE, PetscFE *);
126: PETSC_EXTERN PetscErrorCode PetscFEGetHeightSubspace(PetscFE, PetscInt, PetscFE *);

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[]);

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[]);

143: PETSC_EXTERN PetscErrorCode PetscFECompositeGetMapping(PetscFE, PetscInt *, const PetscReal *[], const PetscReal *[], const PetscReal *[]);

145: PETSC_EXTERN PetscErrorCode PetscFECreateHeightTrace(PetscFE, PetscInt, PetscFE *);
146: PETSC_EXTERN PetscErrorCode PetscFECreatePointTrace(PetscFE, PetscInt, PetscFE *);

148: PETSC_EXTERN PetscErrorCode PetscFEOpenCLSetRealType(PetscFE, PetscDataType);
149: PETSC_EXTERN PetscErrorCode PetscFEOpenCLGetRealType(PetscFE, PetscDataType *);

151: #ifdef PETSC_HAVE_LIBCEED

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

188: #else

190:   #ifndef PLEXFE_QFUNCTION
191:     #define PLEXFE_QFUNCTION(fname, f0_name, f1_name)
192:   #endif

194: #endif