Date: 2024-07-30T17:31:09+00:00

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