Actual source code: petscdualspace.h
1: /*
2: Objects which encapsulate finite element spaces
3: */
4: #ifndef PETSCDUALSPACE_H
5: #define PETSCDUALSPACE_H
6: #include <petscdm.h>
7: #include <petscdt.h>
8: #include <petscfetypes.h>
9: #include <petscdstypes.h>
10: #include <petscspace.h>
12: /* SUBMANSEC = DUALSPACE */
14: /*S
15: PetscDualSpace - PETSc object that manages the dual space to a linear space, e.g. the space of evaluation functionals at the vertices of a triangle
17: Level: beginner
19: .seealso: `PetscDualSpaceCreate()`, `PetscSpace`, `PetscSpaceCreate()`, `PetscDualSpaceSetType()`, `PetscDualSpaceType`
20: S*/
21: typedef struct _p_PetscDualSpace *PetscDualSpace;
23: /*MC
24: PetscDualSpaceReferenceCell - The type of reference cell
26: Level: beginner
28: Note:
29: This is used only for automatic creation of reference cells. A `PetscDualSpace` can accept an arbitrary `DM` for a reference cell.
31: .seealso: `PetscSpace`, `PetscDualSpaceCreate()`, `PetscDualSpaceType`
32: M*/
33: typedef enum {
34: PETSCDUALSPACE_REFCELL_SIMPLEX,
35: PETSCDUALSPACE_REFCELL_TENSOR
36: } PetscDualSpaceReferenceCell;
37: PETSC_EXTERN const char *const PetscDualSpaceReferenceCells[];
39: /*MC
40: PetscDualSpaceTransformType - The type of function transform
42: Level: intermediate
44: Values:
45: + `IDENTITY_TRANSFORM` - make no changes in the function
46: . `COVARIANT_PIOLA_TRANSFORM` - Covariant Piola: $\sigma^*(F) = J^{-T} F \circ \phi^{-1)$
47: - `CONTRAVARIANT_PIOLA_TRANSFORM` - Contravariant Piola: $\sigma^*(F) = 1/|J| J F \circ \phi^{-1)$
49: Notes:
50: These transforms, and their inverses, are used to move functions and functionals between the reference element and real space.
51: Suppose that we have a mapping $\phi$ which maps the reference cell to real space, and its Jacobian $J$. If we want to transform function $F$ on the reference element,
52: so that it acts on real space, we use the pushforward transform $\sigma^*$. The pullback $\sigma_*$ is the inverse transform.
54: References:
55: . Rognes, Kirby, and Logg, Efficient Assembly of Hdiv and Hrot Conforming Finite Elements, SISC, 31(6), 4130-4151, arXiv 1205.3085, 2010
57: .seealso: `PetscDualSpaceGetDeRahm()`
58: M*/
59: typedef enum {
60: IDENTITY_TRANSFORM,
61: COVARIANT_PIOLA_TRANSFORM,
62: CONTRAVARIANT_PIOLA_TRANSFORM
63: } PetscDualSpaceTransformType;
65: PETSC_EXTERN PetscClassId PETSCDUALSPACE_CLASSID;
67: /*J
68: PetscDualSpaceType - String with the name of a PETSc dual space
70: Values:
71: + PETSCDUALSPACELAGRANGE - a dual space of pointwise evaluation functionals
72: . PETSCDUALSPACESIMPLE - a dual space defined by functionals provided with `PetscDualSpaceSimpleSetFunctional()`
73: . PETSCDUALSPACEREFINED - the joint dual space defined by a group of cells, usually refined from one larger cell
74: - PETSCDUALSPACEBDM - a dual space for Brezzi-Douglas-Marini elements
76: Level: beginner
78: .seealso: `PetscDualSpaceSetType()`, `PetscDualSpace`, `PetscSpace`
79: J*/
80: typedef const char *PetscDualSpaceType;
81: #define PETSCDUALSPACELAGRANGE "lagrange"
82: #define PETSCDUALSPACESIMPLE "simple"
83: #define PETSCDUALSPACEREFINED "refined"
84: #define PETSCDUALSPACEBDM "bdm"
86: /*MC
87: PETSCDUALSPACEBDM = "bdm" - A `PetscDualSpace` object that encapsulates a dual space for Brezzi-Douglas-Marini elements
89: Level: intermediate
91: Note:
92: This type is a constructor alias of `PETSCDUALSPACELAGRANGE`. During
93: `PetscDualSpaceSetUp()`, the correct value of `PetscDualSpaceSetFormDegree()` is
94: set for H-div conforming spaces. The type of the dual space is then changed to
95: to `PETSCDUALSPACELAGRANGE`.
97: .seealso: `PetscDualSpaceType`, `PetscDualSpaceCreate()`, `PetscDualSpaceSetType()`, `PETSCDUALSPACELAGRANGE`, `PetscDualSpaceSetFormDegree()`
98: M*/
100: PETSC_EXTERN PetscFunctionList PetscDualSpaceList;
101: PETSC_EXTERN PetscErrorCode PetscDualSpaceCreate(MPI_Comm, PetscDualSpace *);
102: PETSC_EXTERN PetscErrorCode PetscDualSpaceDestroy(PetscDualSpace *);
103: PETSC_EXTERN PetscErrorCode PetscDualSpaceDuplicate(PetscDualSpace, PetscDualSpace *);
104: PETSC_EXTERN PetscErrorCode PetscDualSpaceSetType(PetscDualSpace, PetscDualSpaceType);
105: PETSC_EXTERN PetscErrorCode PetscDualSpaceGetType(PetscDualSpace, PetscDualSpaceType *);
106: PETSC_EXTERN PetscErrorCode PetscDualSpaceGetUniform(PetscDualSpace, PetscBool *);
107: PETSC_EXTERN PetscErrorCode PetscDualSpaceGetNumDof(PetscDualSpace, const PetscInt **);
108: PETSC_EXTERN PetscErrorCode PetscDualSpaceGetSection(PetscDualSpace, PetscSection *);
109: PETSC_EXTERN PetscErrorCode PetscDualSpaceSetUp(PetscDualSpace);
110: PETSC_EXTERN PetscErrorCode PetscDualSpaceSetFromOptions(PetscDualSpace);
111: PETSC_EXTERN PetscErrorCode PetscDualSpaceViewFromOptions(PetscDualSpace, PetscObject, const char[]);
113: PETSC_EXTERN PetscErrorCode PetscDualSpaceView(PetscDualSpace, PetscViewer);
114: PETSC_EXTERN PetscErrorCode PetscDualSpaceRegister(const char[], PetscErrorCode (*)(PetscDualSpace));
115: PETSC_EXTERN PetscErrorCode PetscDualSpaceRegisterDestroy(void);
117: PETSC_EXTERN PetscErrorCode PetscDualSpaceGetDimension(PetscDualSpace, PetscInt *);
118: PETSC_EXTERN PetscErrorCode PetscDualSpaceGetInteriorDimension(PetscDualSpace, PetscInt *);
119: PETSC_EXTERN PetscErrorCode PetscDualSpaceSetNumComponents(PetscDualSpace, PetscInt);
120: PETSC_EXTERN PetscErrorCode PetscDualSpaceGetNumComponents(PetscDualSpace, PetscInt *);
121: PETSC_EXTERN PetscErrorCode PetscDualSpaceSetOrder(PetscDualSpace, PetscInt);
122: PETSC_EXTERN PetscErrorCode PetscDualSpaceGetOrder(PetscDualSpace, PetscInt *);
123: PETSC_EXTERN PetscErrorCode PetscDualSpaceSetDM(PetscDualSpace, DM);
124: PETSC_EXTERN PetscErrorCode PetscDualSpaceGetDM(PetscDualSpace, DM *);
125: PETSC_EXTERN PetscErrorCode PetscDualSpaceGetFunctional(PetscDualSpace, PetscInt, PetscQuadrature *);
126: PETSC_EXTERN PetscErrorCode PetscDualSpaceGetSymmetries(PetscDualSpace, const PetscInt ****, const PetscScalar ****);
128: PETSC_EXTERN PetscErrorCode PetscDualSpaceGetAllData(PetscDualSpace, PetscQuadrature *, Mat *);
129: PETSC_EXTERN PetscErrorCode PetscDualSpaceCreateAllDataDefault(PetscDualSpace, PetscQuadrature *, Mat *);
130: PETSC_EXTERN PetscErrorCode PetscDualSpaceGetInteriorData(PetscDualSpace, PetscQuadrature *, Mat *);
131: PETSC_EXTERN PetscErrorCode PetscDualSpaceCreateInteriorDataDefault(PetscDualSpace, PetscQuadrature *, Mat *);
132: PETSC_EXTERN PetscErrorCode PetscDualSpaceEqual(PetscDualSpace, PetscDualSpace, PetscBool *);
134: PETSC_EXTERN PetscErrorCode PetscDualSpaceApplyAll(PetscDualSpace, const PetscScalar *, PetscScalar *);
135: PETSC_EXTERN PetscErrorCode PetscDualSpaceApplyAllDefault(PetscDualSpace, const PetscScalar *, PetscScalar *);
136: PETSC_EXTERN PetscErrorCode PetscDualSpaceApplyInterior(PetscDualSpace, const PetscScalar *, PetscScalar *);
137: PETSC_EXTERN PetscErrorCode PetscDualSpaceApplyInteriorDefault(PetscDualSpace, const PetscScalar *, PetscScalar *);
139: PETSC_EXTERN PetscErrorCode PetscDualSpaceGetFormDegree(PetscDualSpace, PetscInt *);
140: PETSC_EXTERN PetscErrorCode PetscDualSpaceSetFormDegree(PetscDualSpace, PetscInt);
141: PETSC_EXTERN PetscErrorCode PetscDualSpaceGetDeRahm(PetscDualSpace, PetscInt *);
143: PETSC_EXTERN PetscErrorCode PetscDualSpaceLagrangeGetContinuity(PetscDualSpace, PetscBool *);
144: PETSC_EXTERN PetscErrorCode PetscDualSpaceLagrangeSetContinuity(PetscDualSpace, PetscBool);
145: PETSC_EXTERN PetscErrorCode PetscDualSpaceLagrangeGetTensor(PetscDualSpace, PetscBool *);
146: PETSC_EXTERN PetscErrorCode PetscDualSpaceLagrangeSetTensor(PetscDualSpace, PetscBool);
147: PETSC_EXTERN PetscErrorCode PetscDualSpaceLagrangeGetTrimmed(PetscDualSpace, PetscBool *);
148: PETSC_EXTERN PetscErrorCode PetscDualSpaceLagrangeSetTrimmed(PetscDualSpace, PetscBool);
149: PETSC_EXTERN PetscErrorCode PetscDualSpaceLagrangeGetNodeType(PetscDualSpace, PetscDTNodeType *, PetscBool *, PetscReal *);
150: PETSC_EXTERN PetscErrorCode PetscDualSpaceLagrangeSetNodeType(PetscDualSpace, PetscDTNodeType, PetscBool, PetscReal);
151: PETSC_EXTERN PetscErrorCode PetscDualSpaceLagrangeGetUseMoments(PetscDualSpace, PetscBool *);
152: PETSC_EXTERN PetscErrorCode PetscDualSpaceLagrangeSetUseMoments(PetscDualSpace, PetscBool);
153: PETSC_EXTERN PetscErrorCode PetscDualSpaceLagrangeGetMomentOrder(PetscDualSpace, PetscInt *);
154: PETSC_EXTERN PetscErrorCode PetscDualSpaceLagrangeSetMomentOrder(PetscDualSpace, PetscInt);
156: PETSC_EXTERN PetscErrorCode PetscDualSpaceGetHeightSubspace(PetscDualSpace, PetscInt, PetscDualSpace *);
157: PETSC_EXTERN PetscErrorCode PetscDualSpaceGetPointSubspace(PetscDualSpace, PetscInt, PetscDualSpace *);
158: PETSC_EXTERN PetscErrorCode PetscDualSpaceSimpleSetDimension(PetscDualSpace, PetscInt);
159: PETSC_EXTERN PetscErrorCode PetscDualSpaceSimpleSetFunctional(PetscDualSpace, PetscInt, PetscQuadrature);
161: PETSC_EXTERN PetscErrorCode PetscDualSpaceRefinedSetCellSpaces(PetscDualSpace, const PetscDualSpace[]);
162: PETSC_EXTERN PetscErrorCode PetscSpaceCreateSubspace(PetscSpace, PetscDualSpace, PetscReal *, PetscReal *, PetscReal *, PetscReal *, PetscCopyMode, PetscSpace *);
164: #endif