# PetscFE Manual Pages

There are many <A HREF="../../../src/snes/tutorials/index.html">SNES Examples</A> using PetscFE, such ex12, ex17, and ex62.

The PetscFE class encapsulates a finite element discretization. Each PetscFE object contains a PetscSpace, PetscDualSpace, and DMPlex in the classic Ciarlet triple representation.

<ul>
  <li><a href="http://arxiv.org/abs/1309.1204">Achieving High Performance with Unified Residual Evaluation</a>, Matthew G. Knepley, Jed Brown, Karl Rupp, Barry F. Smith, 2013.</li>
  <li><a href="http://arxiv.org/abs/1607.04245">Finite Element Integration with Quadrature on the GPU</a>, Matthew G. Knepley, Karl Rupp, Andy R. Terrel, 2016.</li>
</ul>

[Manual Pages Table of Contents](/docs/manualpages/index.md)

## Manual Pages by Level

### Beginner - Basic usage
```{hlist}
---
columns: 3
---
- [](PetscDualSpace.md)
- [](PetscDualSpaceReferenceCell.md)
- [](PetscDualSpaceTransformType.md)
- [](PetscDualSpaceType.md)
- [](PetscFE.md)
- [](PetscFECreate.md)
- [](PetscFECreateByCell.md)
- [](PetscFECreateDefault.md)
- [](PetscFECreateFromSpaces.md)
- [](PetscFECreateLagrange.md)
- [](PetscFECreateLagrangeByCell.md)
- [](PetscFEDestroy.md)
- [](PetscFEGeomCreate.md)
- [](PetscFEGeomDestroy.md)
- [](PetscFEJacobianType.md)
- [](PetscFEType.md)
- [](PetscFEView.md)
- [](PetscSpace.md)
- [](PetscSpaceType.md)
```



### Intermediate - Setting options for algorithms and data structures
```{hlist}
---
columns: 3
---
- [](PETSCDUALSPACEBDM.md)
- [](PETSCFEBASIC.md)
- [](PETSCFECOMPOSITE.md)
- [](PETSCFEOPENCL.md)
- [](PetscFECompositeGetMapping.md)
- [](PetscFECopyQuadrature.md)
- [](PetscFECreateTabulation.md)
- [](PetscFEGeom.md)
- [](PetscFEGeomComplete.md)
- [](PetscFEGeomGetCellPoint.md)
- [](PetscFEGeomGetChunk.md)
- [](PetscFEGeomGetPoint.md)
- [](PetscFEGeomRestoreChunk.md)
- [](PetscFEGetBasisSpace.md)
- [](PetscFEGetCeedBasis.md)
- [](PetscFEGetCellTabulation.md)
- [](PetscFEGetDimension.md)
- [](PetscFEGetDualSpace.md)
- [](PetscFEGetFaceCentroidTabulation.md)
- [](PetscFEGetFaceQuadrature.md)
- [](PetscFEGetFaceTabulation.md)
- [](PetscFEGetNumComponents.md)
- [](PetscFEGetNumDof.md)
- [](PetscFEGetQuadrature.md)
- [](PetscFEGetSpatialDimension.md)
- [](PetscFEGetTileSizes.md)
- [](PetscFEGetType.md)
- [](PetscFEIntegrate.md)
- [](PetscFEIntegrateBd.md)
- [](PetscFEIntegrateBdJacobian.md)
- [](PetscFEIntegrateBdResidual.md)
- [](PetscFEIntegrateJacobian.md)
- [](PetscFEIntegrateResidual.md)
- [](PetscFESetBasisSpace.md)
- [](PetscFESetCeed.md)
- [](PetscFESetDualSpace.md)
- [](PetscFESetFaceQuadrature.md)
- [](PetscFESetFromOptions.md)
- [](PetscFESetName.md)
- [](PetscFESetNumComponents.md)
- [](PetscFESetQuadrature.md)
- [](PetscFESetTileSizes.md)
- [](PetscFESetType.md)
- [](PetscFESetUp.md)
- [](PetscFEViewFromOptions.md)
- [](PetscTabulationDestroy.md)
```



### Advanced - Setting more advanced options and customization
```{hlist}
---
columns: 3
---
- [](PetscFEGetHeightSubspace.md)
- [](PetscFEPushforward.md)
- [](PetscFEPushforwardGradient.md)
- [](PetscFEPushforwardHessian.md)
- [](PetscFERefine.md)
- [](PetscFERegister.md)
```



### Developer - Interfaces intended primarily for library developers, not for typical applications programmers
```{hlist}
---
columns: 3
---
- [](PetscFEIntegrateHybridJacobian.md)
- [](PetscFEIntegrateHybridResidual.md)
- [](PetscFEOpenCLGetRealType.md)
- [](PetscFEOpenCLSetRealType.md)
```



### No deprecated routines

## Single list of manual pages
```{toctree}
---
maxdepth: 1
---
PETSCDUALSPACEBDM.md
PETSCFEBASIC.md
PETSCFECOMPOSITE.md
PETSCFEOPENCL.md
PetscDualSpace.md
PetscDualSpaceReferenceCell.md
PetscDualSpaceTransformType.md
PetscDualSpaceType.md
PetscFE.md
PetscFECompositeGetMapping.md
PetscFECopyQuadrature.md
PetscFECreate.md
PetscFECreateByCell.md
PetscFECreateDefault.md
PetscFECreateFromSpaces.md
PetscFECreateLagrange.md
PetscFECreateLagrangeByCell.md
PetscFECreateTabulation.md
PetscFEDestroy.md
PetscFEGeom.md
PetscFEGeomComplete.md
PetscFEGeomCreate.md
PetscFEGeomDestroy.md
PetscFEGeomGetCellPoint.md
PetscFEGeomGetChunk.md
PetscFEGeomGetPoint.md
PetscFEGeomRestoreChunk.md
PetscFEGetBasisSpace.md
PetscFEGetCeedBasis.md
PetscFEGetCellTabulation.md
PetscFEGetDimension.md
PetscFEGetDualSpace.md
PetscFEGetFaceCentroidTabulation.md
PetscFEGetFaceQuadrature.md
PetscFEGetFaceTabulation.md
PetscFEGetHeightSubspace.md
PetscFEGetNumComponents.md
PetscFEGetNumDof.md
PetscFEGetQuadrature.md
PetscFEGetSpatialDimension.md
PetscFEGetTileSizes.md
PetscFEGetType.md
PetscFEIntegrate.md
PetscFEIntegrateBd.md
PetscFEIntegrateBdJacobian.md
PetscFEIntegrateBdResidual.md
PetscFEIntegrateHybridJacobian.md
PetscFEIntegrateHybridResidual.md
PetscFEIntegrateJacobian.md
PetscFEIntegrateResidual.md
PetscFEJacobianType.md
PetscFEOpenCLGetRealType.md
PetscFEOpenCLSetRealType.md
PetscFEPushforward.md
PetscFEPushforwardGradient.md
PetscFEPushforwardHessian.md
PetscFERefine.md
PetscFERegister.md
PetscFESetBasisSpace.md
PetscFESetCeed.md
PetscFESetDualSpace.md
PetscFESetFaceQuadrature.md
PetscFESetFromOptions.md
PetscFESetName.md
PetscFESetNumComponents.md
PetscFESetQuadrature.md
PetscFESetTileSizes.md
PetscFESetType.md
PetscFESetUp.md
PetscFEType.md
PetscFEView.md
PetscFEViewFromOptions.md
PetscSpace.md
PetscSpaceType.md
PetscTabulationDestroy.md
```