Abstract class for local mesh quality metrics in the target-matrix optimization paradigm (TMOP) by P. Knupp et al. More...

#include <tmop.hpp>

Inherits mfem::HyperelasticModel.

Inherited by mfem::TMOP_Metric_001, mfem::TMOP_Metric_002, mfem::TMOP_Metric_007, mfem::TMOP_Metric_009, mfem::TMOP_Metric_022, mfem::TMOP_Metric_050, mfem::TMOP_Metric_055, mfem::TMOP_Metric_056, mfem::TMOP_Metric_058, mfem::TMOP_Metric_077, mfem::TMOP_Metric_211, mfem::TMOP_Metric_252, mfem::TMOP_Metric_301, mfem::TMOP_Metric_302, mfem::TMOP_Metric_303, mfem::TMOP_Metric_315, mfem::TMOP_Metric_316, mfem::TMOP_Metric_321, and mfem::TMOP_Metric_352.

Collaboration diagram for mfem::TMOP_QualityMetric:

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Public Member Functions
	TMOP_QualityMetric ()

virtual	~TMOP_QualityMetric ()

void	SetTargetJacobian (const DenseMatrix &_Jtr)
	Specify the reference-element -> target-element Jacobian matrix for the point of interest. More...

virtual double	EvalW (const DenseMatrix &Jpt) const =0
	Evaluate the strain energy density function, W = W(Jpt). More...

virtual void	EvalP (const DenseMatrix &Jpt, DenseMatrix &P) const =0
	Evaluate the 1st Piola-Kirchhoff stress tensor, P = P(Jpt). More...

virtual void	AssembleH (const DenseMatrix &Jpt, const DenseMatrix &DS, const double weight, DenseMatrix &A) const =0
	Evaluate the derivative of the 1st Piola-Kirchhoff stress tensor and assemble its contribution to the local gradient matrix 'A'. More...

Public Member Functions inherited from mfem::HyperelasticModel
	HyperelasticModel ()

virtual	~HyperelasticModel ()

void	SetTransformation (ElementTransformation &_Ttr)

Protected Member Functions
void	SetTransformation (ElementTransformation &)
	The method SetTransformation() is hidden for TMOP_QualityMetrics, because it is not used. More...

Protected Attributes
const DenseMatrix *	Jtr

Protected Attributes inherited from mfem::HyperelasticModel
ElementTransformation *	Ttr

Detailed Description

Abstract class for local mesh quality metrics in the target-matrix optimization paradigm (TMOP) by P. Knupp et al.

Definition at line 24 of file tmop.hpp.

Constructor & Destructor Documentation

mfem::TMOP_QualityMetric::TMOP_QualityMetric ( )

inline

Definition at line 35 of file tmop.hpp.

virtual mfem::TMOP_QualityMetric::~TMOP_QualityMetric ( )

inlinevirtual

Definition at line 36 of file tmop.hpp.

Member Function Documentation

virtual void mfem::TMOP_QualityMetric::AssembleH	(	const DenseMatrix &	Jpt,
		const DenseMatrix &	DS,
		const double	weight,
		DenseMatrix &	A
	)		const

pure virtual

Evaluate the derivative of the 1st Piola-Kirchhoff stress tensor and assemble its contribution to the local gradient matrix 'A'.

Parameters

[in]	Jpt	Represents the target->physical transformation Jacobian matrix.
[in]	DS	Gradient of the basis matrix (dof x dim).
[in]	weight	Quadrature weight coefficient for the point.
[in,out]	A	Local gradient matrix where the contribution from this point will be added.

Computes weight * d(dW_dxi)_d(xj) at the current point, for all i and j, where x1 ... xn are the FE dofs. This function is usually defined using the matrix invariants and their derivatives.

Implements mfem::HyperelasticModel.

Implemented in mfem::TMOP_Metric_352, mfem::TMOP_Metric_321, mfem::TMOP_Metric_316, mfem::TMOP_Metric_315, mfem::TMOP_Metric_303, mfem::TMOP_Metric_302, mfem::TMOP_Metric_301, mfem::TMOP_Metric_252, mfem::TMOP_Metric_211, mfem::TMOP_Metric_077, mfem::TMOP_Metric_058, mfem::TMOP_Metric_056, mfem::TMOP_Metric_055, mfem::TMOP_Metric_050, mfem::TMOP_Metric_022, mfem::TMOP_Metric_009, mfem::TMOP_Metric_007, mfem::TMOP_Metric_002, and mfem::TMOP_Metric_001.