petsc-3.14.5 2021-03-03
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# 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 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

### 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