:orphan:
# DMFieldEvaluateFE
Evaluate the field and its derivatives on a set of points mapped from quadrature points on a reference point. The derivatives are taken with respect to the reference coordinates.
## Synopsis
```
#include "petscdmfield.h"
#include "petscdmfield.h"
PetscErrorCode DMFieldEvaluateFE(DMField field, IS cellIS, PetscQuadrature points, PetscDataType datatype, void *B, void *D, void *H)
```
Not Collective
## Input Parameters
- ***field -*** The `DMField` object
- ***cellIS -*** Index set for cells on which to evaluate the field
- ***points -*** The quadature containing the points in the reference cell at which to evaluate the field.
- ***datatype -*** The PetscDataType of the output arrays: either `PETSC_REAL` or `PETSC_SCALAR`.
If the field is complex and datatype is `PETSC_REAL`, the real part of the
field is returned.
## Output Parameters
- ***B -*** pointer to data of size c * n * sizeof(datatype), where c is the number of components in the field.
If B is not `NULL`, the values of the field are written in this array, varying first by component,
then by point.
- ***D -*** pointer to data of size d * c * n * sizeof(datatype).
If D is not `NULL`, the values of the field's spatial derivatives are written in this array,
varying first by the partial derivative component, then by field component, then by point.
- ***H -*** pointer to data of size d * d * c * n * sizeof(datatype).
If H is not `NULL`, the values of the field's second spatial derivatives are written in this array,
varying first by the second partial derivative component, then by field component, then by point.
## See Also
`DMField`, `DM`, `DMFieldGetNumComponents()`, `DMFieldEvaluate()`, `DMFieldEvaluateFV()`
## Level
intermediate
## Location
src/dm/field/interface/dmfield.c
## Examples
src/dm/field/tutorials/ex1.c
## Implementations
DMFieldEvaluateFE_DA in src/dm/field/impls/da/dmfieldda.c
DMFieldEvaluateFE_DS in src/dm/field/impls/ds/dmfieldds.c
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[Edit on GitLab](https://gitlab.com/petsc/petsc/-/edit/release/src/dm/field/interface/dmfield.c)
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