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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
## Input Parameters
- ***dm -*** the `DMPLEX`
- ***cell -*** the cell
- ***quad -*** the quadrature containing the points in the reference element where the geometry will be evaluated. If `quad` is `NULL`, geometry will be
evaluated at the first vertex of the reference element
## Output Parameters
- ***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
## See Also
`DMPLEX`, `DMGetCoordinateSection()`, `DMGetCoordinates()`
## Level
advanced
## Location
src/dm/impls/plex/plexgeometry.c
## Examples
src/tao/tutorials/ex3.c
## Implementations
DMPlexComputeCellGeometryFEM_Implicit in src/dm/impls/plex/plexgeometry.c
DMPlexComputeCellGeometryFEM_FE in src/dm/impls/plex/plexgeometry.c
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[Edit on GitLab](https://gitlab.com/petsc/petsc/-/edit/release/src/dm/impls/plex/plexgeometry.c)
[Index of all DMPlex routines](index.md)
[Table of Contents for all manual pages](/manualpages/index.md)
[Index of all manual pages](/manualpages/singleindex.md)