PiolaOperators::Residual Class Reference

Common weak residual operators using div-compatible discretizations. More...

#include <PiolaOperators.h>

Static Public Member Functions
static void	Convection (Vectors &EV, const FiniteElement &fe, const Vec3 &U, const Tensor &dUdX, const Vec3 &UC, const std::array< int, 3 > &idx, double scale, WeakOperators::ConvectionForm form=WeakOperators::CONVECTIVE)
	Compute a convection term in a residual vector. More...
static void	Gradient (Vectors &EV, const FiniteElement &fe, const std::array< int, 3 > &idx, double scale=1.0)
	Compute a gradient term. More...
static void	Laplacian (Vectors &EV, const FiniteElement &fe, const Tensor &dUdX, const std::array< int, 3 > &idx, double scale=1.0, bool stress=false)
	Compute a laplacian term in a residual vector. More...

Detailed Description

Common weak residual operators using div-compatible discretizations.

Member Function Documentation

Convection()

void PiolaOperators::Residual::Convection ( Vectors &  EV, const FiniteElement &  fe, const Vec3 &  U, const Tensor &  dUdX, const Vec3 &  UC, const std::array< int, 3 > &  idx, double  scale, WeakOperators::ConvectionForm  form = WeakOperators::CONVECTIVE  )

static

Compute a convection term in a residual vector.

Parameters

	EV	The element vector to add contribution to
[in]	fe	The finite element to evaluate for
[in]	U	Advected field
[in]	dUdX	Advected field gradient
[in]	UC	Advecting field
	idx	Vector block indices
[in]	scale	Scaling factor for contribution
[in]	form	Which form of the convective form to use

References utl::matrix< T >::cols(), PiolaOperators::Copy(), FiniteElement::detJxW, utl::matrix< T >::fillColumn(), FiniteElement::grad(), utl::matrix< T >::multiply(), and FiniteElement::P.

Gradient()

void PiolaOperators::Residual::Gradient ( Vectors &  EV, const FiniteElement &  fe, const std::array< int, 3 > &  idx, double  scale = 1.0  )

static

Compute a gradient term.

Parameters

[out]	EV	The element vector to add contribution to
[in]	fe	The finite element to evaluate for
	idx	Vector block indices
[in]	scale	Scaling factor for contribution

References utl::matrix< T >::cols(), PiolaOperators::Copy(), FiniteElement::detJxW, FiniteElement::dNdX, and FiniteElement::dPdX.

Laplacian()

void PiolaOperators::Residual::Laplacian ( Vectors &  EV, const FiniteElement &  fe, const Tensor &  dUdX, const std::array< int, 3 > &  idx, double  scale = 1.0, bool  stress = false  )

static

Compute a laplacian term in a residual vector.

Parameters

[out]	EV	The element vector to add contribution to
[in]	fe	The finite element to evaluate for
[in]	dUdX	Current solution gradient
	idx	Vector block indices
[in]	scale	Scaling factor for contribution
[in]	stress	Whether to add extra stress formulation terms

References PiolaOperators::Copy(), FiniteElement::detJxW, FiniteElement::dPdX, and utl::matrix< T >::multiply().

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

• Apps/Common/PiolaOperators.h
• Apps/Common/PiolaOperators.C