:orphan:
# PetscFEIntegrateHybridResidual
Produce the element residual vector for a chunk of hybrid element faces by quadrature integration 
## Synopsis
```
#include "petscfe.h" 
PetscErrorCode PetscFEIntegrateHybridResidual(PetscDS ds, PetscDS dsIn, PetscFormKey key, PetscInt s, PetscInt Ne, PetscFEGeom *fgeom, const PetscScalar coefficients[], const PetscScalar coefficients_t[], PetscDS probAux, const PetscScalar coefficientsAux[], PetscReal t, PetscScalar elemVec[])
```
Not Collective


## Input Parameters

- ***ds           -*** The `PetscDS` specifying the discretizations and continuum functions
- ***dsIn         -*** The `PetscDS` specifying the discretizations and continuum functions for input
- ***key          -*** The (label+value, field) being integrated
- ***s            -*** The side of the cell being integrated, 0 for negative and 1 for positive
- ***Ne           -*** The number of elements in the chunk
- ***fgeom        -*** The face geometry for each cell in the chunk
- ***coefficients -*** The array of FEM basis coefficients for the elements
- ***coefficients_t -*** The array of FEM basis time derivative coefficients for the elements
- ***probAux      -*** The `PetscDS` specifying the auxiliary discretizations
- ***coefficientsAux -*** The array of FEM auxiliary basis coefficients for the elements
- ***t            -*** The time


Output Parameter

- ***elemVec      -*** the element residual vectors from each element





## See Also
 `PetscFEIntegrateResidual()`

## Level
developer

## Location
<A HREF="PETSC_DOC_OUT_ROOT_PLACEHOLDER/src/dm/dt/fe/interface/fe.c.html#PetscFEIntegrateHybridResidual">src/dm/dt/fe/interface/fe.c</A>

## Implementations

<A HREF="PETSC_DOC_OUT_ROOT_PLACEHOLDER/src/dm/dt/fe/impls/basic/febasic.c.html#PetscFEIntegrateHybridResidual_Basic">PetscFEIntegrateHybridResidual_Basic in src/dm/dt/fe/impls/basic/febasic.c</A><BR>


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[Edit on GitLab](https://gitlab.com/petsc/petsc/-/edit/release/src/dm/dt/fe/interface/fe.c)


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