1 #if !defined(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 arbitary `DM` for a reference cell. 28 29 Level: beginner 30 31 .seealso: `PetscSpace` 32 M*/ 33 typedef enum { PETSCDUALSPACE_REFCELL_SIMPLEX, PETSCDUALSPACE_REFCELL_TENSOR } PetscDualSpaceReferenceCell; 34 PETSC_EXTERN const char * const PetscDualSpaceReferenceCells[]; 35 36 /*MC 37 PetscDualSpaceTransformType - The type of function transform 38 39 Notes: 40 These transforms, and their inverses, are used to move functions and functionals between the reference element and real space. 41 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, 42 so that it acts on real space, we use the pushforward transform $\sigma^*$. The pullback $\sigma_*$ is the inverse transform. 43 44 $ Covariant Piola: $\sigma^*(F) = J^{-T} F \circ \phi^{-1)$ 45 $ Contravariant Piola: $\sigma^*(F) = 1/|J| J F \circ \phi^{-1)$ 46 47 References: 48 . Rognes, Kirby, and Logg, Efficient Assembly of Hdiv and Hrot Conforming Finite Elements, SISC, 31(6), 4130-4151, arXiv 1205.3085, 2010 49 50 Level: beginner 51 52 .seealso: `PetscDualSpaceGetDeRahm()` 53 M*/ 54 typedef enum {IDENTITY_TRANSFORM, COVARIANT_PIOLA_TRANSFORM, CONTRAVARIANT_PIOLA_TRANSFORM} PetscDualSpaceTransformType; 55 56 /*S 57 PetscFE - PETSc object that manages a finite element space, e.g. the P_1 Lagrange element 58 59 Level: beginner 60 61 .seealso: `PetscFECreate()`, `PetscSpaceCreate()`, `PetscDualSpaceCreate()`, `PetscFESetType()`, `PetscFEType` 62 S*/ 63 typedef struct _p_PetscFE *PetscFE; 64 65 /*MC 66 PetscFEJacobianType - indicates which pointwise functions should be used to fill the Jacobian matrix 67 68 Level: beginner 69 70 .seealso: `PetscFEIntegrateJacobian()` 71 M*/ 72 typedef enum { PETSCFE_JACOBIAN, PETSCFE_JACOBIAN_PRE, PETSCFE_JACOBIAN_DYN } PetscFEJacobianType; 73 74 #endif 75