belfem::fem::EF_HEX8TS Class Reference

#include <cl_EF_HEX8TS.hpp>

Inheritance diagram for belfem::fem::EF_HEX8TS:

Collaboration diagram for belfem::fem::EF_HEX8TS:

Public Member Functions
	EF_HEX8TS ()
	constructor
	~EF_HEX8TS () override
	destructor
void	link (Element *aElement) override
	connect function with element
void	precompute (const Matrix< real > &aXi) override
	only needed for higher order elements
const Matrix< real > &	E (const uint aIndex) override
const Matrix< real > &	C (const uint aIndex) override
const Matrix< real > &	G (const uint aIndex) override
	gradient operator for h-field, layout contract in EdgeFunction::mGrad.
Public Member Functions inherited from belfem::fem::EdgeFunction
	EdgeFunction ()=default
	trivial constructor
virtual	~EdgeFunction ()=default
	trivial destructor
real	det_J () const
	returns the current value of the determinant
real	abs_det_J () const
	returns the current value of the determinant
real	sum_w () const
	returns the sum of all integration weights
uint	ndofs () const

Additional Inherited Members
Protected Attributes inherited from belfem::fem::EdgeFunction
Matrix< real >	mJ
	the Geometry Jacobian (transposed)
Matrix< real >	mInvJ
	the inverse of the Geometry Jacobian (transposed)
real	mDetJ = BELFEM_QUIET_NAN
	the determinant of the Geometry Jacobian
real	mAbsDetJ = BELFEM_QUIET_NAN
	the absolute value determinant of the Geometry Jacobian
Matrix< real >	mE
Matrix< real >	mC
	matrix containing the curl for the H-Function
Matrix< real >	mGrad
real	mSumW
	sum of all weights
uint	mNumDofs

Constructor & Destructor Documentation

EF_HEX8TS()

belfem::fem::EF_HEX8TS::EF_HEX8TS

(

)

constructor

~EF_HEX8TS()

belfem::fem::EF_HEX8TS::~EF_HEX8TS ( )

override

destructor

Member Function Documentation

C()

const Matrix< real > & belfem::fem::EF_HEX8TS::C ( const uint aIndex )

overridevirtual

Implements belfem::fem::EdgeFunction.

E()

const Matrix< real > & belfem::fem::EF_HEX8TS::E ( const uint aIndex )

overridevirtual

Reimplemented from belfem::fem::EdgeFunction.

G()

const Matrix< real > & belfem::fem::EF_HEX8TS::G ( const uint aIndex )

overridevirtual

gradient operator for h-field, layout contract in EdgeFunction::mGrad.

G chains the reference derivatives through the class's own per-point nablas held fixed — exactly the ingredients C() uses, so antisym( G ) reproduces the implemented C on every geometry. Scope by mid-surface shape:

• affine ( parallelogram ) quads: the map is affine and G is the exact gradient; on rectangles additionally div( e_k ) == 0.
• planar non-parallelogram quads: the nablas are exact gradients and C is the exact curl, but G omits the symmetric inverse-map Hessian term F_k Hess( xi_a ) — G is NOT the full gradient there.
• warped quads: nablas follow the thin-shell update_nabla convention ( mid-surface Jacobian only ); E, C and G all share that approximation.

Implements belfem::fem::EdgeFunction.

link()

void belfem::fem::EF_HEX8TS::link ( Element * aElement )

overridevirtual

connect function with element

Implements belfem::fem::EdgeFunction.

precompute()

void belfem::fem::EF_HEX8TS::precompute ( const Matrix< real > & aXi )

overridevirtual

only needed for higher order elements

Parameters

aXi

Implements belfem::fem::EdgeFunction.

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The documentation for this class was generated from the following files:

• src/fem/interpolation/nedelec/cl_EF_HEX8TS.hpp
• src/fem/interpolation/nedelec/cl_EF_HEX8TS.cpp