Assembles $\sum_{EL} \int_T \sqrt{\det g} g^{-1} D v_i \cdot D v_j$ . More...

#include <stiffnessMatrixIntegrator.h>

Public Member Functions
	StiffnessMatrixIntegrator (const ConfiguratorType &conf)
	Configurator. More...

void	getCoeffMatrix (const typename ConfiguratorType::ElementType &el, const int &, Matrix22 &matrix) const
	Computes the weight matrix. More...

	StiffnessMatrixIntegrator (const ConfiguratorType &conf)
	Configurator. More...

void	getCoeffMatrix (const typename ConfiguratorType::ElementType &el, const int &, Matrix22 &matrix) const
	Computes the weight matrix. More...

Public Member Functions inherited from shellFE::UnitTriangleFELinWeightedStiffIntegrator< ConfiguratorType, StiffnessMatrixIntegrator< ConfiguratorType > >
	UnitTriangleFELinWeightedStiffIntegrator (const ConfiguratorType &Config)

void	getCoeffMatrix (const typename ConfiguratorType::ElementType &El, int QuadPoint, Matrix22 &Matrix) const
	This function has to be provided in the implementation (derived class) of the interface. More...

void	prepareLocalMatrix (const typename ConfiguratorType::ElementType &El, LocalMatrixType &LocalMatrix) const
	Computes the numerical quadrature of the bilinear form and saves the values locally. More...

Public Member Functions inherited from shellFE::MatrixValuedIntegratorBase< ConfiguratorType, UnitTriangleFELinWeightedStiffIntegrator< ConfiguratorType, StiffnessMatrixIntegrator< ConfiguratorType > > >
	MatrixValuedIntegratorBase (const ConfiguratorType &conf, const RealType factor=1.0)

void	assembleTripletListCached () const

void	assemble (SparseMatrixType &Dest) const

void	assembleDirichlet (SparseMatrixType &Dest, const MaskType &boundaryMask) const

Protected Types
typedef ConfiguratorType::RealType	RealType

typedef ConfiguratorType::Matrix22	Matrix22

typedef ConfiguratorType::RealType	RealType

typedef ConfiguratorType::Matrix22	Matrix22

Protected Types inherited from shellFE::UnitTriangleFELinWeightedStiffIntegrator< ConfiguratorType, StiffnessMatrixIntegrator< ConfiguratorType > >
typedef ConfiguratorType::RealType	RealType

typedef ConfiguratorType::DomVecType	DomVecType

typedef ConfiguratorType::Matrix22	Matrix22

typedef ConfiguratorType::LocalMatrixType	LocalMatrixType

Additional Inherited Members
Public Types inherited from shellFE::MatrixValuedIntegratorBase< ConfiguratorType, UnitTriangleFELinWeightedStiffIntegrator< ConfiguratorType, StiffnessMatrixIntegrator< ConfiguratorType > > >
typedef ConfiguratorType::RealType	RealType

typedef ConfiguratorType::LocalMatrixType	LocalMatrixType

typedef ConfiguratorType::TripletType	TripletType

typedef ConfiguratorType::ElementType	ElementType

typedef ConfiguratorType::MaskType	MaskType

Protected Member Functions inherited from shellFE::UnitTriangleFELinWeightedStiffIntegrator< ConfiguratorType, StiffnessMatrixIntegrator< ConfiguratorType > >
StiffnessMatrixIntegrator< ConfiguratorType > &	asImp ()

const StiffnessMatrixIntegrator< ConfiguratorType > &	asImp () const

Protected Member Functions inherited from shellFE::MatrixValuedIntegratorBase< ConfiguratorType, UnitTriangleFELinWeightedStiffIntegrator< ConfiguratorType, StiffnessMatrixIntegrator< ConfiguratorType > > >
void	assembleTripletList (std::vector< TripletType > &tripletList, const RealType Factor) const

UnitTriangleFELinWeightedStiffIntegrator< ConfiguratorType, StiffnessMatrixIntegrator< ConfiguratorType > > &	asImp ()

const UnitTriangleFELinWeightedStiffIntegrator< ConfiguratorType, StiffnessMatrixIntegrator< ConfiguratorType > > &	asImp () const

Protected Attributes inherited from shellFE::UnitTriangleFELinWeightedStiffIntegrator< ConfiguratorType, StiffnessMatrixIntegrator< ConfiguratorType > >
const ConfiguratorType &	_config

Protected Attributes inherited from shellFE::MatrixValuedIntegratorBase< ConfiguratorType, UnitTriangleFELinWeightedStiffIntegrator< ConfiguratorType, StiffnessMatrixIntegrator< ConfiguratorType > > >
const ConfiguratorType &	_config

std::vector< TripletType >	_tripletList

RealType	_factor

bool	_tripletListAssembled

Detailed Description

template<typename ConfiguratorType>
class StiffnessMatrixIntegrator< ConfiguratorType >

Assembles $\sum_{EL} \int_T \sqrt{\det g} g^{-1} D v_i \cdot D v_j$ .

Definition at line 10 of file stiffnessMatrixIntegrator.h.

Member Typedef Documentation

template<typename ConfiguratorType >

typedef ConfiguratorType::Matrix22 StiffnessMatrixIntegrator< ConfiguratorType >::Matrix22

protected

Definition at line 16 of file stiffnessMatrixIntegrator.h.

template<typename ConfiguratorType >

typedef ConfiguratorType::Matrix22 StiffnessMatrixIntegrator< ConfiguratorType >::Matrix22

protected

Definition at line 16 of file stiffnessMatrixIntegrator.h.

template<typename ConfiguratorType >

typedef ConfiguratorType::RealType StiffnessMatrixIntegrator< ConfiguratorType >::RealType

protected

Definition at line 15 of file stiffnessMatrixIntegrator.h.

template<typename ConfiguratorType >

typedef ConfiguratorType::RealType StiffnessMatrixIntegrator< ConfiguratorType >::RealType

protected

Definition at line 15 of file stiffnessMatrixIntegrator.h.

Constructor & Destructor Documentation

template<typename ConfiguratorType >

StiffnessMatrixIntegrator< ConfiguratorType >::StiffnessMatrixIntegrator ( const ConfiguratorType & conf )

inline

Configurator.

Parameters

[in] conf Reference to the configurator used with the mesh

Definition at line 21 of file stiffnessMatrixIntegrator.h.

         : UnitTriangleFELinWeightedStiffIntegrator<
           ConfiguratorType, StiffnessMatrixIntegrator<ConfiguratorType>>(conf)
     {}

template<typename ConfiguratorType >

StiffnessMatrixIntegrator< ConfiguratorType >::StiffnessMatrixIntegrator ( const ConfiguratorType & conf )

inline

Configurator.

Parameters

[in] conf Reference to the configurator used with the mesh

Definition at line 21 of file stiffnessMatrixIntegrator.h.

         : UnitTriangleFELinWeightedStiffIntegrator<
           ConfiguratorType, StiffnessMatrixIntegrator<ConfiguratorType>>(conf)
     {}

Member Function Documentation

template<typename ConfiguratorType >

void StiffnessMatrixIntegrator< ConfiguratorType >::getCoeffMatrix	(	const typename ConfiguratorType::ElementType &	el,
		const int &	,
		Matrix22 &	matrix
	)		const

inline

Computes the weight matrix.

Parameters

[in]	el	The element for which matrix shall be computed
[out]	matrix	The weight matrix

Definition at line 29 of file stiffnessMatrixIntegrator.h.

     {
         auto &edge1 = -1.0 * el.getEdge(1);
         auto &edge2 = el.getEdge(2);
         Eigen::Matrix<RealType, 3, 2> dx;
         // Flat triangles ~> Last entry 0.0
         dx << edge2[0], edge1[0], edge2[1], edge1[1], edge2[2], edge1[2];
 
         matrix = el.getAreaOfFlattenedTriangle() * (dx.transpose() * dx).inverse();
     }

template<typename ConfiguratorType >

void StiffnessMatrixIntegrator< ConfiguratorType >::getCoeffMatrix	(	const typename ConfiguratorType::ElementType &	el,
		const int &	,
		Matrix22 &	matrix
	)		const

inline

Computes the weight matrix.

Parameters

[in]	el	The element for which matrix shall be computed
[out]	matrix	The weight matrix

Definition at line 29 of file stiffnessMatrixIntegrator.h.

     {
         auto &edge1 = -1.0 * el.getEdge(1);
         auto &edge2 = el.getEdge(2);
         Eigen::Matrix<RealType, 3, 2> dx;
         // Flat triangles ~> Last entry 0.0
         dx << edge2[0], edge1[0], edge2[1], edge1[1], edge2[2], edge1[2];
 
         matrix = el.getAreaOfFlattenedTriangle() * (dx.transpose() * dx).inverse();
     }

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

exercise_1/stiffnessMatrixIntegrator.h

Public Member Functions

Protected Types

Additional Inherited Members

Detailed Description

template<typename ConfiguratorType> class StiffnessMatrixIntegrator< ConfiguratorType >

Member Typedef Documentation

Constructor & Destructor Documentation

Member Function Documentation

template<typename ConfiguratorType>
class StiffnessMatrixIntegrator< ConfiguratorType >