HArDCore2D::KirchhoffLove Struct Reference

Assemble a Kirchhoff-Love plate problem. More...

#include <ddr-klplate.hpp>

Public Types
typedef Eigen::SparseMatrix< double >	SystemMatrixType
typedef std::function< double(const Eigen::Vector2d &)>	ForcingTermType
typedef std::function< double(const Eigen::Vector2d &)>	DeflectionType
typedef std::function< Eigen::Vector2d(const Eigen::Vector2d &)>	GradientDeflectionType
typedef std::function< Eigen::Matrix2d(const Eigen::Vector2d &)>	MomentTensorType
typedef std::function< double(const Eigen::Vector2d &, const Edge &)>	MomentTensorEdgeDerivativeType
typedef XDivDiv::ConstitutiveLawType	ConstitutiveLawType
typedef Eigen::SparseMatrix< double >	SystemMatrixType
typedef std::function< double(const Eigen::Vector2d &)>	ForcingTermType
typedef std::function< double(const Eigen::Vector2d &)>	DeflectionType
typedef std::function< Eigen::Matrix2d(const Eigen::Vector2d &)>	MomentTensorType
typedef std::function< double(const Eigen::Vector2d &, const Edge &)>	MomentTensorEdgeDerivativeType

Public Member Functions
	KirchhoffLove (const PlatesCore &platescore, const ConstitutiveLawType &law, bool use_threads, std::ostream &output=std::cout)
	Constructor.
size_t	dimensionSpace () const
	Returns the dimension of the moment + deflection space.
size_t	nbSCDOFs () const
	Returns the number of statically condensed DOFs (here, the cell moments DOFs)
size_t	sizeSystem () const
	Returns the size of the statically condensed system.
const XDivDiv &	xDivDiv () const
	Returns the space XDivDiv.
const GlobalDOFSpace	polykm2Th () const
	Returns the space \(\mathbb{P}^{k-2}(\mathcal{T}_h)\).
const SystemMatrixType &	systemMatrix () const
	Returns the linear system matrix.
SystemMatrixType &	systemMatrix ()
	Returns the linear system matrix.
const Eigen::VectorXd &	systemVector () const
	Returns the linear system right-hand side vector.
Eigen::VectorXd &	systemVector ()
	Returns the linear system right-hand side vector.
const SystemMatrixType &	scMatrix () const
	Returns the static condensation recovery operator.
Eigen::VectorXd &	scVector ()
	Returns the static condensation rhs.
const double &	stabilizationParameter () const
	Returns the stabilization parameter.
double &	stabilizationParameter ()
	Returns the stabilization parameter.
void	assembleLinearSystem (const ForcingTermType &f, const DeflectionType &u, const GradientDeflectionType &grad_u)
	Assemble the global system.
Eigen::VectorXd	interpolateDeflection (const DeflectionType &u, int deg_quad=-1) const
	Interpolate deflection.
double	computeNorm (const Eigen::VectorXd &v) const
	Compute the discrete norm.
	KirchhoffLove (const PlatesCore &platescore, bool use_threads, std::ostream &output=std::cout)
	Constructor.
size_t	dimensionSpace () const
	Returns the dimension of the rotation + displacement space (with BC)
const XDivDiv &	xDivDiv () const
	Returns the space XDivDiv.
const SystemMatrixType &	systemMatrix () const
	Returns the linear system matrix.
SystemMatrixType &	systemMatrix ()
	Returns the linear system matrix.
const Eigen::VectorXd &	systemVector () const
	Returns the linear system right-hand side vector.
Eigen::VectorXd &	systemVector ()
	Returns the linear system right-hand side vector.
const double &	stabilizationParameter () const
	Returns the stabilization parameter.
double &	stabilizationParameter ()
	Returns the stabilization parameter.

Detailed Description

Assemble a Kirchhoff-Love plate problem.

Member Typedef Documentation

DeflectionType

typedef std::function<double(const Eigen::Vector2d &)> HArDCore2D::KirchhoffLove::DeflectionType

ForcingTermType

typedef std::function<double(const Eigen::Vector2d &)> HArDCore2D::KirchhoffLove::ForcingTermType

MomentTensorEdgeDerivativeType

typedef std::function<double(const Eigen::Vector2d &, const Edge &)> HArDCore2D::KirchhoffLove::MomentTensorEdgeDerivativeType

MomentTensorType

typedef std::function<Eigen::Matrix2d(const Eigen::Vector2d &)> HArDCore2D::KirchhoffLove::MomentTensorType

SystemMatrixType

typedef Eigen::SparseMatrix<double> HArDCore2D::KirchhoffLove::SystemMatrixType

Constructor & Destructor Documentation

KirchhoffLove()

KirchhoffLove::KirchhoffLove	(	const PlatesCore &	platescore,
		bool	use_threads,
		std::ostream &	output = std::cout
	)

Constructor.

Parameters

platescore	Core for the DDR space sequence
use_threads	True for parallel execution, false for sequential execution
output	Output stream to print status messages

Member Function Documentation

dimensionSpace()

size_t HArDCore2D::KirchhoffLove::dimensionSpace ( ) const

inline

Returns the dimension of the rotation + displacement space (with BC)

stabilizationParameter() [1/2]

double & HArDCore2D::KirchhoffLove::stabilizationParameter ( )

inline

Returns the stabilization parameter.

stabilizationParameter() [2/2]

const double & HArDCore2D::KirchhoffLove::stabilizationParameter ( ) const

inline

Returns the stabilization parameter.

systemMatrix() [1/2]

SystemMatrixType & HArDCore2D::KirchhoffLove::systemMatrix ( )

inline

Returns the linear system matrix.

systemMatrix() [2/2]

const SystemMatrixType & HArDCore2D::KirchhoffLove::systemMatrix ( ) const

inline

Returns the linear system matrix.

systemVector() [1/2]

Eigen::VectorXd & HArDCore2D::KirchhoffLove::systemVector ( )

inline

Returns the linear system right-hand side vector.

systemVector() [2/2]

const Eigen::VectorXd & HArDCore2D::KirchhoffLove::systemVector ( ) const

inline

Returns the linear system right-hand side vector.

xDivDiv()

const XDivDiv & HArDCore2D::KirchhoffLove::xDivDiv ( ) const

inline

Returns the space XDivDiv.

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

• Schemes/DDR-klplate/ddr-klplate.hpp
• TestCodes/test-DDRCore/xdivdiv-test.hpp
• Schemes/DDR-klplate/ddr-klplate.cpp
• TestCodes/test-DDRCore/xdivdiv-test.cpp