petsc-3.11.4 2019-09-28
Compute_Lagrange_Basis_3D_Internal
Evaluate bases and derivatives at quadrature points for a HEX8 or TET4 element.
Synopsis
#include "petscdt.h"
#include "petscdmmoab.h"
PetscErrorCode Compute_Lagrange_Basis_3D_Internal ( const PetscInt nverts, const PetscReal *coords, const PetscInt npts, const PetscReal *quad, PetscReal *phypts,
PetscReal *jxw, PetscReal *phi, PetscReal *dphidx, PetscReal *dphidy, PetscReal *dphidz,
PetscReal *jacobian, PetscReal *ijacobian, PetscReal *volume)
The routine is given the coordinates of the vertices of a hexahedra or tetrahedra.
The routine evaluates the basis functions associated with each quadrature point provided,
and their derivatives with respect to X, Y and Z.
Notes
Example Physical Element (HEX8)
8------7
/| /| t s
5------6 | | /
| | | | |/
| 4----|-3 0-------r
|/ |/
1------2
Input Parameter
PetscInt nverts, the number of element vertices -. PetscReal coords[3*nverts], the physical coordinates of the vertices (in canonical numbering)
PetscInt npts, the number of evaluation points (quadrature points) -. PetscReal quad[3*npts], the evaluation points (quadrature points) in the reference space
Output Parameter
PetscReal phypts[3*npts], the evaluation points (quadrature points) transformed to the physical space -. PetscReal jxw[npts], the jacobian determinant * quadrature weight necessary for assembling discrete contributions
PetscReal phi[npts], the bases evaluated at the specified quadrature points -. PetscReal dphidx[npts], the derivative of the bases wrt X-direction evaluated at the specified quadrature points
PetscReal dphidy[npts], the derivative of the bases wrt Y -direction evaluated at the specified quadrature points
PetscReal dphidz[npts], the derivative of the bases wrt Z -direction evaluated at the specified quadrature points
Keywords
DMMoab, FEM, 3-D
Level
advanced
Location
src/dm/impls/moab/dmmbfem.cxx
Index of all DMMOAB routines
Table of Contents for all manual pages
Index of all manual pages