HODataOperators.hpp File Reference

High-order geometry operators for finite element computations. More...

Go to the source code of this file.

Classes
struct	MoFEM::OpCalculateHOJacForVolume
	Calculate Jacobian on Hex or other volume elements which are not simplex. More...
struct	MoFEM::OpCalculateHOCoords< FIELD_DIM >
	Calculate high-order coordinates at Gauss points. More...
struct	MoFEM::OpSetHOInvJacToScalarBasesImpl
struct	MoFEM::OpSetHOInvJacToScalarBases< DIM >
	Set inverse jacobian to base functions. More...
struct	MoFEM::OpSetHOInvJacToScalarBases< 2 >
struct	MoFEM::OpSetHOInvJacVectorBase
	Transform local reference derivatives of shape functions to global derivatives. More...
struct	MoFEM::OpSetHOWeightsOnFace
	Modify integration weights on face to take into account higher-order geometry. More...
struct	MoFEM::OpSetHOWeightsOnEdge
	Modify integration weights on edge to take into account higher-order geometry. More...
struct	MoFEM::OpSetHOWeightsOnSubDim< 2 >
struct	MoFEM::OpSetHOWeightsOnSubDim< 3 >
struct	MoFEM::OpSetHOWeights
	Set integration weights for higher-order elements. More...
struct	MoFEM::OpSetHOContravariantPiolaTransform
	Apply contravariant (Piola) transformation to Hdiv space for HO geometry. More...
struct	MoFEM::OpSetHOCovariantPiolaTransform
	Apply covariant (Piola) transformation to Hcurl space for HO geometry. More...
struct	MoFEM::OpCalculateHOJacForFaceImpl< 2 >
struct	MoFEM::OpCalculateHOJacForFaceImpl< 3 >
struct	MoFEM::OpCalculateHOJac< 3 >
struct	MoFEM::OpCalculateHOJac< 2 >
struct	MoFEM::OpGetHONormalsOnFace< FIELD_DIM >
	Calculate normal vectors at Gauss points of face elements. More...
struct	MoFEM::OpHOSetContravariantPiolaTransformOnFace3D
	Transform Hdiv base fluxes from reference element to physical face in 3D. More...
struct	MoFEM::OpHOSetContravariantPiolaTransformOnEdge3D
	Transform Hcurl base functions from reference element to physical edge in 3D. More...
struct	MoFEM::OpHOSetCovariantPiolaTransformOnFace3D
	Transform Hcurl base functions from reference element to physical face in 3D. More...
struct	MoFEM::OpGetHOTangentsOnEdge< FIELD_DIM >
	Calculate tangent vector on edge from HO geometry approximation. More...
struct	MoFEM::OpScaleBaseBySpaceInverseOfMeasure
	Scale base functions by inverses of measure of element. More...
struct	MoFEM::AddHOOps< 2, 2, 2 >
	Specialization for 2D face elements in 2D problems with 2D space. More...
struct	MoFEM::AddHOOps< 2, 2, 3 >
	Specialization for 2D face elements in 2D problems embedded in 3D space. More...
struct	MoFEM::AddHOOps< 1, 2, 2 >
	Specialization for 1D edge elements in 2D problems with 2D space. More...
struct	MoFEM::AddHOOps< 1, 3, 3 >
	Specialization for 1D edge elements in 3D problems with 3D space. More...
struct	MoFEM::AddHOOps< 2, 3, 3 >
	Specialization for 2D face elements in 3D problems with 3D space. More...
struct	MoFEM::AddHOOps< 3, 3, 3 >
	Specialization for 3D volume elements in 3D problems with 3D space. More...

Namespaces
namespace	MoFEM
	implementation of Data Operators for Forces and Sources

Typedefs
using	MoFEM::OpCalculateHOJacVolume = OpCalculateHOJacForVolume
using	MoFEM::OpCalculateHOJacForFace = OpCalculateHOJacForFaceImpl< 2 >
using	MoFEM::OpCalculateHOJacForFaceEmbeddedIn3DSpace = OpCalculateHOJacForFaceImpl< 3 >

Functions
template<typename E >
MoFEMErrorCode	MoFEM::addHOOpsVol (const std::string field, E &e, bool h1, bool hcurl, bool hdiv, bool l2)
template<typename E >
MoFEMErrorCode	MoFEM::addHOOpsFace3D (const std::string field, E &e, bool hcurl, bool hdiv)

Detailed Description

High-order geometry operators for finite element computations.

This file provides operators for managing high-order (curved) geometry in finite element analysis. These operators handle geometric transformations, coordinate mappings, and basis function modifications required when elements have curved boundaries or use high-order shape functions.

Main Functionality:

Jacobian Calculations: Compute transformation matrices between reference and physical coordinates for curved elements (OpCalculateHOJacForVolume, OpCalculateHOJacForFace, OpGetHOTangentsOnEdge, OpGetHONormalsOnFace)

Coordinate Transformations: Calculate physical coordinates at integration points using high-order approximations (OpCalculateHOCoords)

Basis Function Transformations: Apply Piola transforms and inverse Jacobian operations to basis functions for H1, Hdiv, and Hcurl spaces (OpSetHOContravariantPiolaTransform, OpSetHOCovariantPiolaTransform)

Integration Weight Corrections: Adjust integration weights to account for geometric distortions in curved elements (OpSetHOWeights, OpSetHOWeightsOnFace)

Pipeline Management: AddHOOps template specializations automatically add appropriate HO operators to finite element pipelines based on element dimension and problem type

Usage Pattern:

1. Use AddHOOps<FE_DIM, PROBLEM_DIM, SPACE_DIM>::add() to automatically add required HO operators to your finite element pipeline
2. Individual operators can be used directly for specialized applications
3. Operators handle both internal computations and external data access via shared pointers to Jacobian matrices and determinants

Key Benefits:

• Accurate integration on curved domains
• Proper handling of geometric nonlinearity
• Seamless integration with MoFEM pipeline system
• Support for mixed finite element spaces (H1, Hdiv, Hcurl)

Note

Essential for problems involving curved boundaries, contact mechanics, fluid-structure interaction, and any application requiring geometric accuracy beyond linear approximation.

Definition in file HODataOperators.hpp.