1 /*
2       Objects which encapsulate finite element spaces and operations
3 */
4 #if !defined(PETSCFE_H)
5 #define PETSCFE_H
6 #include <petscdm.h>
7 #include <petscdt.h>
8 #include <petscfetypes.h>
9 #include <petscdstypes.h>
10 
11 typedef struct _n_PetscFEGeom {
12   const PetscReal *xi;
13   PetscReal *v;           /* v[Nc*Np*dE]:           The first point in each each in real coordinates */
14   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) */
15   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) */
16   PetscReal *detJ;        /* detJ[Nc*Np]:           The determinant of J, and if it is non-square its the volume change */
17   PetscReal *n;           /* n[Nc*Np*dE]:           For faces, the normal to the face in real coordinates, outward for the first supporting cell */
18   PetscInt  (*face)[2];   /* face[Nc][s]:           For faces, the local face number (cone index) for this face in each supporting cell s */
19   PetscReal *suppJ[2];    /* sJ[s][Nc*Np*dE*dE]:    For faces, the Jacobian for each supporting cell s */
20   PetscReal *suppInvJ[2]; /* sInvJ[s][Nc*Np*dE*dE]: For faces, the inverse Jacobian for each supporting cell s */
21   PetscReal *suppDetJ[2]; /* sInvJ[s][Nc*Np*dE*dE]: For faces, the Jacobian determinant for each supporting cell s */
22   PetscInt  dim;          /* Topological dimension */
23   PetscInt  dimEmbed;     /* Real coordinate dimension */
24   PetscInt  numCells;     /* Number of mesh points represented in the arrays */
25   PetscInt  numPoints;    /* Number of evaluation points represented in the arrays */
26   PetscBool isAffine;     /* Flag for affine transforms */
27 } PetscFEGeom;
28 
29 PETSC_EXTERN PetscErrorCode PetscFEInitializePackage(void);
30 
31 PETSC_EXTERN PetscClassId PETSCSPACE_CLASSID;
32 
33 /*J
34   PetscSpaceType - String with the name of a PETSc linear space
35 
36   Level: beginner
37 
38 .seealso: PetscSpaceSetType(), PetscSpace
39 J*/
40 typedef const char* PetscSpaceType;
41 #define PETSCSPACEPOLYNOMIAL "poly"
42 #define PETSCSPACETENSOR     "tensor"
43 #define PETSCSPACESUM        "sum"
44 #define PETSCSPACEPOINT      "point"
45 #define PETSCSPACESUBSPACE   "subspace"
46 
47 PETSC_EXTERN PetscFunctionList PetscSpaceList;
48 PETSC_EXTERN PetscErrorCode PetscSpaceCreate(MPI_Comm, PetscSpace *);
49 PETSC_EXTERN PetscErrorCode PetscSpaceDestroy(PetscSpace *);
50 PETSC_EXTERN PetscErrorCode PetscSpaceSetType(PetscSpace, PetscSpaceType);
51 PETSC_EXTERN PetscErrorCode PetscSpaceGetType(PetscSpace, PetscSpaceType *);
52 PETSC_EXTERN PetscErrorCode PetscSpaceSetUp(PetscSpace);
53 PETSC_EXTERN PetscErrorCode PetscSpaceSetFromOptions(PetscSpace);
54 PETSC_EXTERN PetscErrorCode PetscSpaceViewFromOptions(PetscSpace,PetscObject,const char[]);
55 
56 PETSC_EXTERN PetscErrorCode PetscSpaceView(PetscSpace,PetscViewer);
57 PETSC_EXTERN PetscErrorCode PetscSpaceRegister(const char [], PetscErrorCode (*)(PetscSpace));
58 PETSC_EXTERN PetscErrorCode PetscSpaceRegisterDestroy(void);
59 
60 PETSC_EXTERN PetscErrorCode PetscSpaceGetDimension(PetscSpace, PetscInt *);
61 PETSC_EXTERN PetscErrorCode PetscSpaceSetNumComponents(PetscSpace, PetscInt);
62 PETSC_EXTERN PetscErrorCode PetscSpaceGetNumComponents(PetscSpace, PetscInt *);
63 PETSC_EXTERN PetscErrorCode PetscSpaceSetNumVariables(PetscSpace, PetscInt);
64 PETSC_EXTERN PetscErrorCode PetscSpaceGetNumVariables(PetscSpace, PetscInt *);
65 PETSC_EXTERN PetscErrorCode PetscSpaceSetDegree(PetscSpace, PetscInt, PetscInt);
66 PETSC_EXTERN PetscErrorCode PetscSpaceGetDegree(PetscSpace, PetscInt *, PetscInt *);
67 PETSC_EXTERN PetscErrorCode PetscSpaceEvaluate(PetscSpace, PetscInt, const PetscReal[], PetscReal[], PetscReal[], PetscReal[]);
68 PETSC_EXTERN PetscErrorCode PetscSpaceGetHeightSubspace(PetscSpace, PetscInt, PetscSpace *);
69 
70 PETSC_EXTERN PetscErrorCode PetscSpacePolynomialSetSymmetric(PetscSpace, PetscBool);
71 PETSC_EXTERN PetscErrorCode PetscSpacePolynomialGetSymmetric(PetscSpace, PetscBool *);
72 PETSC_EXTERN PetscErrorCode PetscSpacePolynomialSetTensor(PetscSpace, PetscBool);
73 PETSC_EXTERN PetscErrorCode PetscSpacePolynomialGetTensor(PetscSpace, PetscBool *);
74 
75 PETSC_EXTERN PetscErrorCode PetscSpaceTensorSetNumSubspaces(PetscSpace, PetscInt);
76 PETSC_EXTERN PetscErrorCode PetscSpaceTensorGetNumSubspaces(PetscSpace, PetscInt *);
77 PETSC_EXTERN PetscErrorCode PetscSpaceTensorSetSubspace(PetscSpace, PetscInt, PetscSpace);
78 PETSC_EXTERN PetscErrorCode PetscSpaceTensorGetSubspace(PetscSpace, PetscInt, PetscSpace *);
79 
80 PETSC_EXTERN PetscErrorCode PetscSpaceSumSetNumSubspaces(PetscSpace, PetscInt);
81 PETSC_EXTERN PetscErrorCode PetscSpaceSumGetNumSubspaces(PetscSpace, PetscInt *);
82 PETSC_EXTERN PetscErrorCode PetscSpaceSumSetSubspace(PetscSpace, PetscInt, PetscSpace);
83 PETSC_EXTERN PetscErrorCode PetscSpaceSumGetSubspace(PetscSpace, PetscInt, PetscSpace *);
84 PETSC_EXTERN PetscErrorCode PetscSpaceSumSetConcatenate(PetscSpace, PetscBool);
85 PETSC_EXTERN PetscErrorCode PetscSpaceSumGetConcatenate(PetscSpace, PetscBool *);
86 PETSC_EXTERN PetscErrorCode PetscSpaceCreateSum(PetscInt numSubspaces,const PetscSpace subspaces[],PetscBool concatenate,PetscSpace *sumSpace);
87 
88 PETSC_EXTERN PetscErrorCode PetscSpacePointGetPoints(PetscSpace, PetscQuadrature *);
89 PETSC_EXTERN PetscErrorCode PetscSpacePointSetPoints(PetscSpace, PetscQuadrature);
90 
91 PETSC_EXTERN PetscErrorCode PetscSpaceCreateSubspace(PetscSpace, PetscDualSpace, PetscReal *, PetscReal *, PetscReal *, PetscReal *, PetscCopyMode, PetscSpace *);
92 
93 PETSC_EXTERN PetscClassId PETSCDUALSPACE_CLASSID;
94 
95 /*J
96   PetscDualSpaceType - String with the name of a PETSc dual space
97 
98   Level: beginner
99 
100 .seealso: PetscDualSpaceSetType(), PetscDualSpace
101 J*/
102 typedef const char *PetscDualSpaceType;
103 #define PETSCDUALSPACELAGRANGE "lagrange"
104 #define PETSCDUALSPACESIMPLE   "simple"
105 #define PETSCDUALSPACEREFINED  "refined"
106 #define PETSCDUALSPACEBDM      "bdm"
107 
108 /*MC
109   PETSCDUALSPACEBDM = "bdm" - A PetscDualSpace object that encapsulates a dual space for Brezzi-Douglas-Marini elements
110 
111   Level: intermediate
112 
113   Note: This type is a constructor alias of PETSCDUALSPACELAGRANGE.  During
114   PetscDualSpaceSetUp(), the correct value of PetscDualSpaceSetFormDegree() is
115   set for H-div conforming spaces. The type of the dual space is then changed to
116   to PETSCDUALSPACELAGRANGE.
117 
118 .seealso: PetscDualSpaceType, PetscDualSpaceCreate(), PetscDualSpaceSetType(), PETSCDUALSPACELAGRANGE, PetscDualSpaceSetFormDegree()
119 M*/
120 
121 PETSC_EXTERN PetscFunctionList PetscDualSpaceList;
122 PETSC_EXTERN PetscErrorCode PetscDualSpaceCreate(MPI_Comm, PetscDualSpace *);
123 PETSC_EXTERN PetscErrorCode PetscDualSpaceDestroy(PetscDualSpace *);
124 PETSC_EXTERN PetscErrorCode PetscDualSpaceDuplicate(PetscDualSpace, PetscDualSpace *);
125 PETSC_EXTERN PetscErrorCode PetscDualSpaceSetType(PetscDualSpace, PetscDualSpaceType);
126 PETSC_EXTERN PetscErrorCode PetscDualSpaceGetType(PetscDualSpace, PetscDualSpaceType *);
127 PETSC_EXTERN PetscErrorCode PetscDualSpaceGetUniform(PetscDualSpace, PetscBool *);
128 PETSC_EXTERN PetscErrorCode PetscDualSpaceGetNumDof(PetscDualSpace, const PetscInt **);
129 PETSC_EXTERN PetscErrorCode PetscDualSpaceGetSection(PetscDualSpace, PetscSection *);
130 PETSC_EXTERN PetscErrorCode PetscDualSpaceSetUp(PetscDualSpace);
131 PETSC_EXTERN PetscErrorCode PetscDualSpaceSetFromOptions(PetscDualSpace);
132 PETSC_EXTERN PetscErrorCode PetscDualSpaceViewFromOptions(PetscDualSpace,PetscObject,const char[]);
133 
134 PETSC_EXTERN PetscErrorCode PetscDualSpaceView(PetscDualSpace,PetscViewer);
135 PETSC_EXTERN PetscErrorCode PetscDualSpaceRegister(const char [], PetscErrorCode (*)(PetscDualSpace));
136 PETSC_EXTERN PetscErrorCode PetscDualSpaceRegisterDestroy(void);
137 
138 PETSC_EXTERN PetscErrorCode PetscDualSpaceGetDimension(PetscDualSpace, PetscInt *);
139 PETSC_EXTERN PetscErrorCode PetscDualSpaceGetInteriorDimension(PetscDualSpace, PetscInt *);
140 PETSC_EXTERN PetscErrorCode PetscDualSpaceSetNumComponents(PetscDualSpace, PetscInt);
141 PETSC_EXTERN PetscErrorCode PetscDualSpaceGetNumComponents(PetscDualSpace, PetscInt *);
142 PETSC_EXTERN PetscErrorCode PetscDualSpaceSetOrder(PetscDualSpace, PetscInt);
143 PETSC_EXTERN PetscErrorCode PetscDualSpaceGetOrder(PetscDualSpace, PetscInt *);
144 PETSC_EXTERN PetscErrorCode PetscDualSpaceSetDM(PetscDualSpace, DM);
145 PETSC_EXTERN PetscErrorCode PetscDualSpaceGetDM(PetscDualSpace, DM *);
146 PETSC_EXTERN PetscErrorCode PetscDualSpaceGetFunctional(PetscDualSpace, PetscInt, PetscQuadrature *);
147 PETSC_EXTERN PetscErrorCode PetscDualSpaceCreateReferenceCell(PetscDualSpace, PetscInt, PetscBool, DM *);
148 PETSC_EXTERN PetscErrorCode PetscDualSpaceGetSymmetries(PetscDualSpace, const PetscInt ****, const PetscScalar ****);
149 
150 PETSC_EXTERN PetscErrorCode PetscFEGeomCreate(PetscQuadrature,PetscInt,PetscInt,PetscBool,PetscFEGeom**);
151 PETSC_EXTERN PetscErrorCode PetscFEGeomGetChunk(PetscFEGeom*,PetscInt,PetscInt,PetscFEGeom**);
152 PETSC_EXTERN PetscErrorCode PetscFEGeomRestoreChunk(PetscFEGeom*,PetscInt,PetscInt,PetscFEGeom**);
153 PETSC_EXTERN PetscErrorCode PetscFEGeomComplete(PetscFEGeom*);
154 PETSC_EXTERN PetscErrorCode PetscFEGeomDestroy(PetscFEGeom**);
155 
156 PETSC_EXTERN PetscErrorCode PetscDualSpaceApply(PetscDualSpace, PetscInt, PetscReal, PetscFEGeom *, PetscInt, PetscErrorCode (*)(PetscInt, PetscReal, const PetscReal [], PetscInt, PetscScalar *, void *), void *, PetscScalar *);
157 PETSC_EXTERN PetscErrorCode PetscDualSpaceApplyDefault(PetscDualSpace, PetscInt, PetscReal, PetscFEGeom *, PetscInt, PetscErrorCode (*)(PetscInt, PetscReal, const PetscReal [], PetscInt, PetscScalar *, void *), void *, PetscScalar *);
158 
159 PETSC_EXTERN PetscErrorCode PetscDualSpaceGetAllData(PetscDualSpace, PetscQuadrature *, Mat *);
160 PETSC_EXTERN PetscErrorCode PetscDualSpaceCreateAllDataDefault(PetscDualSpace, PetscQuadrature *, Mat *);
161 PETSC_EXTERN PetscErrorCode PetscDualSpaceGetInteriorData(PetscDualSpace, PetscQuadrature *, Mat *);
162 PETSC_EXTERN PetscErrorCode PetscDualSpaceCreateInteriorDataDefault(PetscDualSpace, PetscQuadrature *, Mat *);
163 
164 PETSC_EXTERN PetscErrorCode PetscDualSpaceApplyAll(PetscDualSpace, const PetscScalar *, PetscScalar *);
165 PETSC_EXTERN PetscErrorCode PetscDualSpaceApplyAllDefault(PetscDualSpace, const PetscScalar *, PetscScalar *);
166 PETSC_EXTERN PetscErrorCode PetscDualSpaceApplyInterior(PetscDualSpace, const PetscScalar *, PetscScalar *);
167 PETSC_EXTERN PetscErrorCode PetscDualSpaceApplyInteriorDefault(PetscDualSpace, const PetscScalar *, PetscScalar *);
168 
169 
170 PETSC_EXTERN PetscErrorCode PetscDualSpaceGetFormDegree(PetscDualSpace, PetscInt *);
171 PETSC_EXTERN PetscErrorCode PetscDualSpaceSetFormDegree(PetscDualSpace, PetscInt);
172 PETSC_EXTERN PetscErrorCode PetscDualSpaceGetDeRahm(PetscDualSpace, PetscInt *);
173 PETSC_EXTERN PetscErrorCode PetscDualSpaceTransform(PetscDualSpace, PetscDualSpaceTransformType, PetscBool, PetscFEGeom *, PetscInt, PetscInt, PetscScalar[]);
174 PETSC_EXTERN PetscErrorCode PetscDualSpacePullback(PetscDualSpace, PetscFEGeom *, PetscInt, PetscInt, PetscScalar[]);
175 PETSC_EXTERN PetscErrorCode PetscDualSpacePushforward(PetscDualSpace, PetscFEGeom *, PetscInt, PetscInt, PetscScalar[]);
176 PETSC_EXTERN PetscErrorCode PetscDualSpacePushforwardGradient(PetscDualSpace, PetscFEGeom *, PetscInt, PetscInt, PetscScalar[]);
177 
178 PETSC_EXTERN PetscErrorCode PetscDualSpaceLagrangeGetContinuity(PetscDualSpace, PetscBool *);
179 PETSC_EXTERN PetscErrorCode PetscDualSpaceLagrangeSetContinuity(PetscDualSpace, PetscBool);
180 PETSC_EXTERN PetscErrorCode PetscDualSpaceLagrangeGetTensor(PetscDualSpace, PetscBool *);
181 PETSC_EXTERN PetscErrorCode PetscDualSpaceLagrangeSetTensor(PetscDualSpace, PetscBool);
182 PETSC_EXTERN PetscErrorCode PetscDualSpaceLagrangeGetTrimmed(PetscDualSpace, PetscBool *);
183 PETSC_EXTERN PetscErrorCode PetscDualSpaceLagrangeSetTrimmed(PetscDualSpace, PetscBool);
184 PETSC_EXTERN PetscErrorCode PetscDualSpaceLagrangeGetNodeType(PetscDualSpace, PetscDTNodeType *, PetscBool *, PetscReal *);
185 PETSC_EXTERN PetscErrorCode PetscDualSpaceLagrangeSetNodeType(PetscDualSpace, PetscDTNodeType, PetscBool, PetscReal);
186 
187 PETSC_EXTERN PetscErrorCode PetscDualSpaceGetHeightSubspace(PetscDualSpace,PetscInt,PetscDualSpace *);
188 PETSC_EXTERN PetscErrorCode PetscDualSpaceGetPointSubspace(PetscDualSpace,PetscInt,PetscDualSpace *);
189 PETSC_EXTERN PetscErrorCode PetscDualSpaceSimpleSetDimension(PetscDualSpace, PetscInt);
190 PETSC_EXTERN PetscErrorCode PetscDualSpaceSimpleSetFunctional(PetscDualSpace, PetscInt, PetscQuadrature);
191 
192 PETSC_EXTERN PetscErrorCode PetscDualSpaceRefinedSetCellSpaces(PetscDualSpace, const PetscDualSpace[]);
193 
194 PETSC_EXTERN PetscClassId PETSCFE_CLASSID;
195 
196 /*J
197   PetscFEType - String with the name of a PETSc finite element space
198 
199   Level: beginner
200 
201   Note: Currently, the classes are concerned with the implementation of element integration
202 
203 .seealso: PetscFESetType(), PetscFE
204 J*/
205 typedef const char *PetscFEType;
206 #define PETSCFEBASIC     "basic"
207 #define PETSCFEOPENCL    "opencl"
208 #define PETSCFECOMPOSITE "composite"
209 
210 PETSC_EXTERN PetscFunctionList PetscFEList;
211 PETSC_EXTERN PetscErrorCode PetscFECreate(MPI_Comm, PetscFE *);
212 PETSC_EXTERN PetscErrorCode PetscFEDestroy(PetscFE *);
213 PETSC_EXTERN PetscErrorCode PetscFESetType(PetscFE, PetscFEType);
214 PETSC_EXTERN PetscErrorCode PetscFEGetType(PetscFE, PetscFEType *);
215 PETSC_EXTERN PetscErrorCode PetscFESetUp(PetscFE);
216 PETSC_EXTERN PetscErrorCode PetscFESetFromOptions(PetscFE);
217 PETSC_EXTERN PetscErrorCode PetscFEViewFromOptions(PetscFE,PetscObject,const char[]);
218 PETSC_EXTERN PetscErrorCode PetscFESetName(PetscFE, const char []);
219 
220 PETSC_EXTERN PetscErrorCode PetscFEView(PetscFE,PetscViewer);
221 PETSC_EXTERN PetscErrorCode PetscFERegister(const char [], PetscErrorCode (*)(PetscFE));
222 PETSC_EXTERN PetscErrorCode PetscFERegisterDestroy(void);
223 PETSC_EXTERN PetscErrorCode PetscFECreateDefault(MPI_Comm, PetscInt, PetscInt, PetscBool, const char [], PetscInt, PetscFE *);
224 PETSC_EXTERN PetscErrorCode PetscFECreateLagrange(MPI_Comm, PetscInt, PetscInt, PetscBool, PetscInt, PetscInt, PetscFE *);
225 
226 PETSC_EXTERN PetscErrorCode PetscFEGetDimension(PetscFE, PetscInt *);
227 PETSC_EXTERN PetscErrorCode PetscFEGetSpatialDimension(PetscFE, PetscInt *);
228 PETSC_EXTERN PetscErrorCode PetscFESetNumComponents(PetscFE, PetscInt);
229 PETSC_EXTERN PetscErrorCode PetscFEGetNumComponents(PetscFE, PetscInt *);
230 PETSC_EXTERN PetscErrorCode PetscFEGetTileSizes(PetscFE, PetscInt *, PetscInt *, PetscInt *, PetscInt *);
231 PETSC_EXTERN PetscErrorCode PetscFESetTileSizes(PetscFE, PetscInt, PetscInt, PetscInt, PetscInt);
232 PETSC_EXTERN PetscErrorCode PetscFESetBasisSpace(PetscFE, PetscSpace);
233 PETSC_EXTERN PetscErrorCode PetscFEGetBasisSpace(PetscFE, PetscSpace *);
234 PETSC_EXTERN PetscErrorCode PetscFESetDualSpace(PetscFE, PetscDualSpace);
235 PETSC_EXTERN PetscErrorCode PetscFEGetDualSpace(PetscFE, PetscDualSpace *);
236 PETSC_EXTERN PetscErrorCode PetscFESetQuadrature(PetscFE, PetscQuadrature);
237 PETSC_EXTERN PetscErrorCode PetscFEGetQuadrature(PetscFE, PetscQuadrature *);
238 PETSC_EXTERN PetscErrorCode PetscFESetFaceQuadrature(PetscFE, PetscQuadrature);
239 PETSC_EXTERN PetscErrorCode PetscFEGetFaceQuadrature(PetscFE, PetscQuadrature *);
240 PETSC_EXTERN PetscErrorCode PetscFECopyQuadrature(PetscFE, PetscFE);
241 PETSC_EXTERN PetscErrorCode PetscFEGetNumDof(PetscFE, const PetscInt **);
242 
243 /* TODO: Need a function to reuse the memory when retabulating the same FE at different points */
244 PETSC_EXTERN PetscErrorCode PetscFEGetCellTabulation(PetscFE, PetscTabulation *);
245 PETSC_EXTERN PetscErrorCode PetscFEGetFaceTabulation(PetscFE, PetscTabulation *);
246 PETSC_EXTERN PetscErrorCode PetscFEGetFaceCentroidTabulation(PetscFE, PetscTabulation *);
247 PETSC_EXTERN PetscErrorCode PetscFECreateTabulation(PetscFE, PetscInt, PetscInt, const PetscReal[], PetscInt, PetscTabulation *);
248 PETSC_EXTERN PetscErrorCode PetscFEComputeTabulation(PetscFE, PetscInt, const PetscReal[], PetscInt, PetscTabulation);
249 PETSC_EXTERN PetscErrorCode PetscTabulationDestroy(PetscTabulation *);
250 
251 PETSC_EXTERN PetscErrorCode PetscFERefine(PetscFE, PetscFE *);
252 PETSC_EXTERN PetscErrorCode PetscFEGetHeightSubspace(PetscFE, PetscInt, PetscFE *);
253 
254 PETSC_EXTERN PetscErrorCode PetscFECreateCellGeometry(PetscFE, PetscQuadrature, PetscFEGeom *);
255 PETSC_EXTERN PetscErrorCode PetscFEDestroyCellGeometry(PetscFE, PetscFEGeom *);
256 PETSC_EXTERN PetscErrorCode PetscFEPushforward(PetscFE, PetscFEGeom *, PetscInt, PetscScalar[]);
257 PETSC_EXTERN PetscErrorCode PetscFEPushforwardGradient(PetscFE, PetscFEGeom *, PetscInt, PetscScalar[]);
258 
259 PETSC_EXTERN PetscErrorCode PetscFEIntegrate(PetscDS, PetscInt, PetscInt, PetscFEGeom *, const PetscScalar[], PetscDS, const PetscScalar[], PetscScalar[]);
260 PETSC_EXTERN PetscErrorCode PetscFEIntegrateBd(PetscDS, PetscInt,
261                                                void (*)(PetscInt, PetscInt, PetscInt,
262                                                         const PetscInt[], const PetscInt[], const PetscScalar[], const PetscScalar[], const PetscScalar[],
263                                                         const PetscInt[], const PetscInt[], const PetscScalar[], const PetscScalar[], const PetscScalar[],
264                                                         PetscReal, const PetscReal[], const PetscReal[], PetscInt, const
265                                                         PetscScalar[], PetscScalar[]),
266                                                PetscInt, PetscFEGeom *, const PetscScalar[], PetscDS, const PetscScalar[], PetscScalar[]);
267 PETSC_EXTERN PetscErrorCode PetscFEIntegrateResidual(PetscDS, PetscInt, PetscInt, PetscFEGeom *, const PetscScalar[], const PetscScalar[], PetscDS, const PetscScalar[], PetscReal, PetscScalar[]);
268 PETSC_EXTERN PetscErrorCode PetscFEIntegrateBdResidual(PetscDS, PetscInt, PetscInt, PetscFEGeom *, const PetscScalar[], const PetscScalar[], PetscDS, const PetscScalar[], PetscReal, PetscScalar[]);
269 PETSC_EXTERN PetscErrorCode PetscFEIntegrateHybridResidual(PetscDS, PetscInt, PetscInt, PetscFEGeom *, const PetscScalar[], const PetscScalar[], PetscDS, const PetscScalar[], PetscReal, PetscScalar[]);
270 PETSC_EXTERN PetscErrorCode PetscFEIntegrateJacobian(PetscDS, PetscFEJacobianType, PetscInt, PetscInt, PetscInt, PetscFEGeom *, const PetscScalar[], const PetscScalar[], PetscDS, const PetscScalar[], PetscReal, PetscReal, PetscScalar[]);
271 PETSC_EXTERN PetscErrorCode PetscFEIntegrateBdJacobian(PetscDS, PetscInt, PetscInt, PetscInt, PetscFEGeom *, const PetscScalar[], const PetscScalar[], PetscDS, const PetscScalar[], PetscReal, PetscReal, PetscScalar[]);
272 PETSC_EXTERN PetscErrorCode PetscFEIntegrateHybridJacobian(PetscDS, PetscFEJacobianType, PetscInt, PetscInt, PetscInt, PetscFEGeom *, const PetscScalar[], const PetscScalar[], PetscDS, const PetscScalar[], PetscReal, PetscReal, PetscScalar[]);
273 
274 PETSC_EXTERN PetscErrorCode PetscFECompositeGetMapping(PetscFE, PetscInt *, const PetscReal *[], const PetscReal *[], const PetscReal *[]);
275 
276 PETSC_EXTERN PetscErrorCode PetscFECreateHeightTrace(PetscFE, PetscInt, PetscFE *);
277 PETSC_EXTERN PetscErrorCode PetscFECreatePointTrace(PetscFE, PetscInt, PetscFE *);
278 
279 PETSC_EXTERN PetscErrorCode PetscFEOpenCLSetRealType(PetscFE, PetscDataType);
280 PETSC_EXTERN PetscErrorCode PetscFEOpenCLGetRealType(PetscFE, PetscDataType *);
281 
282 #endif
283