Compute_Lagrange_Basis_1D_Internal#
Evaluate bases and derivatives at quadrature points for a EDGE2 or EDGE3 element.
Synopsis#
#include "petscdt.h"
#include "petscdmmoab.h"
PetscErrorCode Compute_Lagrange_Basis_1D_Internal(const PetscInt nverts, const PetscReal *coords, const PetscInt npts, const PetscReal *quad, PetscReal *phypts, PetscReal *jxw, PetscReal *phi, PetscReal *dphidx, PetscReal *jacobian, PetscReal *ijacobian, PetscReal *volume)
The routine is given the coordinates of the vertices of a linear or quadratic edge element.
The routine evaluates the basis functions associated with each quadrature point provided, and their derivatives with respect to X.
Notes#
Example Physical Element
1-------2 1----3----2
EDGE2 EDGE3
Input Parameters#
PetscInt nverts - the number of element vertices
PetscReal coords[3nverts] -* the physical coordinates of the vertices (in canonical numbering)
PetscInt npts - the number of evaluation points (quadrature points)
PetscReal quad[3npts] -* the evaluation points (quadrature points) in the reference space
Output Parameters#
PetscReal phypts[3npts] -* 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
jacobian - jacobian
ijacobian - ijacobian
volume - volume
Level#
advanced
Location#
Index of all DMMOAB routines
Table of Contents for all manual pages
Index of all manual pages