1 #ifndef PETSCFETYPES_H 2 #define PETSCFETYPES_H 3 4 /* SUBMANSEC = FE */ 5 6 /*S 7 PetscSpace - PETSc object that manages a linear space, e.g. the space of d-dimensional polynomials of given degree 8 9 Level: beginner 10 11 .seealso: `PetscSpaceCreate()`, `PetscDualSpaceCreate()`, `PetscSpaceSetType()`, `PetscSpaceType` 12 S*/ 13 typedef struct _p_PetscSpace *PetscSpace; 14 15 /*S 16 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 18 Level: beginner 19 20 .seealso: `PetscDualSpaceCreate()`, `PetscSpaceCreate()`, `PetscDualSpaceSetType()`, `PetscDualSpaceType` 21 S*/ 22 typedef struct _p_PetscDualSpace *PetscDualSpace; 23 24 /*MC 25 PetscDualSpaceReferenceCell - The type of reference cell 26 27 Notes: This is used only for automatic creation of reference cells. A `PetscDualSpace` can accept an arbitrary `DM` for a reference cell. 28 29 Level: beginner 30 31 .seealso: `PetscSpace` 32 M*/ 33 typedef enum { 34 PETSCDUALSPACE_REFCELL_SIMPLEX, 35 PETSCDUALSPACE_REFCELL_TENSOR 36 } PetscDualSpaceReferenceCell; 37 PETSC_EXTERN const char *const PetscDualSpaceReferenceCells[]; 38 39 /*MC 40 PetscDualSpaceTransformType - The type of function transform 41 42 Notes: 43 These transforms, and their inverses, are used to move functions and functionals between the reference element and real space. 44 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, 45 so that it acts on real space, we use the pushforward transform $\sigma^*$. The pullback $\sigma_*$ is the inverse transform. 46 47 $ Covariant Piola: $\sigma^*(F) = J^{-T} F \circ \phi^{-1)$ 48 $ Contravariant Piola: $\sigma^*(F) = 1/|J| J F \circ \phi^{-1)$ 49 50 References: 51 . Rognes, Kirby, and Logg, Efficient Assembly of Hdiv and Hrot Conforming Finite Elements, SISC, 31(6), 4130-4151, arXiv 1205.3085, 2010 52 53 Level: beginner 54 55 .seealso: `PetscDualSpaceGetDeRahm()` 56 M*/ 57 typedef enum { 58 IDENTITY_TRANSFORM, 59 COVARIANT_PIOLA_TRANSFORM, 60 CONTRAVARIANT_PIOLA_TRANSFORM 61 } PetscDualSpaceTransformType; 62 63 /*S 64 PetscFE - PETSc object that manages a finite element space, e.g. the P_1 Lagrange element 65 66 Level: beginner 67 68 .seealso: `PetscFECreate()`, `PetscSpaceCreate()`, `PetscDualSpaceCreate()`, `PetscFESetType()`, `PetscFEType` 69 S*/ 70 typedef struct _p_PetscFE *PetscFE; 71 72 /*MC 73 PetscFEJacobianType - indicates which pointwise functions should be used to fill the Jacobian matrix 74 75 Level: beginner 76 77 .seealso: `PetscFEIntegrateJacobian()` 78 M*/ 79 typedef enum { 80 PETSCFE_JACOBIAN, 81 PETSCFE_JACOBIAN_PRE, 82 PETSCFE_JACOBIAN_DYN 83 } PetscFEJacobianType; 84 85 #endif 86