There are many SNES Examples using PetscFE, such ex12, ex17, and ex62.

• Achieving High Performance with Unified Residual Evaluation, Matthew G. Knepley, Jed Brown, Karl Rupp, Barry F. Smith, 2013.
• Finite Element Integration with Quadrature on the GPU, Matthew G. Knepley, Karl Rupp, Andy R. Terrel, 2016.

Beginner - Basic usage
PetscDualSpace	PetscFECreateDefault	PetscFEView
PetscDualSpaceReferenceCell	PetscFEDestroy	PetscQuadrature
PetscDualSpaceTransformType	PetscFEGeomCreate	PetscSpace
PetscDualSpaceType	PetscFEGeomDestroy	PetscSpacePolynomialType
PetscFE	PetscFEJacobianType	PetscSpaceType
PetscFECreate	PetscFEType
Intermediate - Setting options for algorithms and data structures
PETSCFEBASIC	PetscFEGetFaceTabulation	PetscFEIntegrateResidual
PETSCFECOMPOSITE	PetscFEGetNumComponents	PetscFERestoreTabulation
PETSCFEOPENCL	PetscFEGetNumDof	PetscFESetBasisSpace
PetscFECompositeGetMapping	PetscFEGetQuadrature	PetscFESetDualSpace
PetscFECopyQuadrature	PetscFEGetSpatialDimension	PetscFESetFaceQuadrature
PetscFEGeomComplete	PetscFEGetTabulation	PetscFESetFromOptions
PetscFEGeomGetChunk	PetscFEGetTileSizes	PetscFESetName
PetscFEGeomRestoreChunk	PetscFEGetType	PetscFESetNumComponents
PetscFEGetBasisSpace	PetscFEIntegrate	PetscFESetQuadrature
PetscFEGetDefaultTabulation	PetscFEIntegrateBd	PetscFESetTileSizes
PetscFEGetDimension	PetscFEIntegrateBdJacobian	PetscFESetType
PetscFEGetDualSpace	PetscFEIntegrateBdResidual	PetscFESetUp
PetscFEGetFaceQuadrature	PetscFEIntegrateJacobian	PetscGaussLobattoLegendreCreateType
Advanced - Setting more advanced options and customization
PetscFEGetHeightSubspace	PetscFEPushforwardGradient	PetscFERegister
PetscFEPushforward	PetscFERefine
Developer - Interfaces intended primarily for library developers, not for typical applications programmers
PetscFEOpenCLGetRealType	PetscFEOpenCLSetRealType
No deprecated routines

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