MFEM v4.7.0
Finite element discretization library
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mfem::TMOP_QualityMetric Class Referenceabstract

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

#include <tmop.hpp>

Inheritance diagram for mfem::TMOP_QualityMetric:
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Collaboration diagram for mfem::TMOP_QualityMetric:
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Public Member Functions

 TMOP_QualityMetric ()
 
virtual ~TMOP_QualityMetric ()
 
virtual void SetTargetJacobian (const DenseMatrix &Jtr_)
 Specify the reference-element -> target-element Jacobian matrix for the point of interest.
 
virtual real_t EvalWMatrixForm (const DenseMatrix &Jpt) const
 Evaluates the metric in matrix form (opposed to invariant form). Used for validating the invariant evaluations.
 
virtual real_t EvalW (const DenseMatrix &Jpt) const =0
 Evaluate the strain energy density function, W = W(Jpt), by using the 2D or 3D matrix invariants, see linalg/invariants.hpp.
 
virtual void EvalP (const DenseMatrix &Jpt, DenseMatrix &P) const =0
 Evaluate the 1st Piola-Kirchhoff stress tensor, P = P(Jpt).
 
virtual void AssembleH (const DenseMatrix &Jpt, const DenseMatrix &DS, const real_t 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'.
 
virtual int Id () const
 Return the metric ID.
 
- Public Member Functions inherited from mfem::HyperelasticModel
 HyperelasticModel ()
 
virtual ~HyperelasticModel ()
 
void SetTransformation (ElementTransformation &Ttr_)
 

Protected Member Functions

void SetTransformation (ElementTransformation &)
 The method HyperelasticModel::SetTransformation() is hidden for TMOP_QualityMetrics, because it is not used.
 

Protected Attributes

const DenseMatrixJtr
 
- Protected Attributes inherited from mfem::HyperelasticModel
ElementTransformationTtr
 

Detailed Description

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

Definition at line 23 of file tmop.hpp.

Constructor & Destructor Documentation

◆ TMOP_QualityMetric()

mfem::TMOP_QualityMetric::TMOP_QualityMetric ( )
inline

Definition at line 34 of file tmop.hpp.

◆ ~TMOP_QualityMetric()

virtual mfem::TMOP_QualityMetric::~TMOP_QualityMetric ( )
inlinevirtual

Definition at line 35 of file tmop.hpp.

Member Function Documentation

◆ AssembleH()

virtual void mfem::TMOP_QualityMetric::AssembleH ( const DenseMatrix & Jpt,
const DenseMatrix & DS,
const real_t 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]JptRepresents the target->physical transformation Jacobian matrix.
[in]DSGradient of the basis matrix (dof x dim).
[in]weightQuadrature weight coefficient for the point.
[in,out]ALocal 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_AMetric_011, mfem::TMOP_AMetric_014a, mfem::TMOP_AMetric_036, mfem::TMOP_AMetric_107a, mfem::TMOP_Combo_QualityMetric, mfem::TMOP_Metric_001, mfem::TMOP_Metric_002, mfem::TMOP_Metric_004, mfem::TMOP_Metric_007, mfem::TMOP_Metric_009, mfem::TMOP_Metric_014, 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_085, mfem::TMOP_Metric_098, mfem::TMOP_Metric_211, mfem::TMOP_Metric_252, mfem::TMOP_Metric_301, mfem::TMOP_Metric_302, mfem::TMOP_Metric_303, mfem::TMOP_Metric_304, mfem::TMOP_Metric_311, mfem::TMOP_Metric_313, mfem::TMOP_Metric_315, mfem::TMOP_Metric_316, mfem::TMOP_Metric_318, mfem::TMOP_Metric_321, mfem::TMOP_Metric_322, mfem::TMOP_Metric_323, mfem::TMOP_Metric_352, mfem::TMOP_Metric_360, mfem::TMOP_Metric_aspratio2D, mfem::TMOP_Metric_aspratio3D, mfem::TMOP_Metric_skew2D, mfem::TMOP_Metric_skew3D, and mfem::TMOP_WorstCaseUntangleOptimizer_Metric.

◆ EvalP()

◆ EvalW()

◆ EvalWMatrixForm()

virtual real_t mfem::TMOP_QualityMetric::EvalWMatrixForm ( const DenseMatrix & Jpt) const
inlinevirtual

◆ Id()

◆ SetTargetJacobian()

virtual void mfem::TMOP_QualityMetric::SetTargetJacobian ( const DenseMatrix & Jtr_)
inlinevirtual

Specify the reference-element -> target-element Jacobian matrix for the point of interest.

The specified Jacobian matrix, Jtr, can be used by metrics that cannot be written just as a function of the target->physical Jacobian matrix, Jpt.

Reimplemented in mfem::TMOP_Combo_QualityMetric.

Definition at line 43 of file tmop.hpp.

◆ SetTransformation()

void mfem::TMOP_QualityMetric::SetTransformation ( ElementTransformation & )
inlineprotected

The method HyperelasticModel::SetTransformation() is hidden for TMOP_QualityMetrics, because it is not used.

Definition at line 31 of file tmop.hpp.

Member Data Documentation

◆ Jtr

const DenseMatrix* mfem::TMOP_QualityMetric::Jtr
protected

Jacobian of the reference-element to target-element transformation.

Definition at line 26 of file tmop.hpp.


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