petsc-3.14.5 2021-03-03
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# DMPlexComputeCellGeometryFEM

Compute the Jacobian, inverse Jacobian, and Jacobian determinant at each quadrature point in the given cell

### Synopsis

    #include "petscdmplex.h"
    #include "petscfe.h"
    PetscErrorCode DMPlexComputeCellGeometryFEM(DM dm, PetscInt cell, PetscQuadrature quad, PetscReal *v, PetscReal *J, PetscReal *invJ, PetscReal *detJ)

Collective on dm

### Input Arguments

| dm | - the DM
| cell | - the cell
| quad | - the quadrature containing the points in the reference element where the geometry will be evaluated. If quad == NULL, geometry will be evaluated at the first vertex of the reference element

### Output Arguments

| v | - the image of the transformed quadrature points, otherwise the image of the first vertex in the closure of the reference element
| J | - the Jacobian of the transform from the reference element at each quadrature point
| invJ | - the inverse of the Jacobian at each quadrature point
| detJ | - the Jacobian determinant at each quadrature point

### Fortran Notes

Since it returns arrays, this routine is only available in Fortran 90, and you must include petsc.h90 in your code.

### See Also

DMGetCoordinateSection(), DMGetCoordinates()

### Level

advanced

### Location

src/dm/impls/plex/plexgeometry.c

### Examples

src/tao/tutorials/ex3.c.html

### Implementations

DMPlexComputeCellGeometryFEM_Implicit in src/dm/impls/plex/plexgeometry.c
DMPlexComputeCellGeometryFEM_FE in src/dm/impls/plex/plexgeometry.c
Index of all DMPLEX routines
Table of Contents for all manual pages
Index of all manual pages