Assemble a RM problem. More...

#include <bgg-klplate.hpp>

Public Types
typedef Eigen::SparseMatrix< double >	SystemMatrixType

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

typedef std::function< double(const Eigen::Vector2d &)>	SolutionDisplacementType

typedef std::function< Eigen::Vector2d(const Eigen::Vector2d &)>	GradientDisplacementType

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 DDRCore &ddrcore, const DDRCore &ddrcore_plus, const SerendipityProblem &sp, const SerendipityProblem &sp_plus, const BoundaryConditions &BC_u, bool use_threads, std::ostream &output=std::cout)
	Constructor.

void	assembleLinearSystem (const ForcingTermType &f, const SolutionDisplacementType &u, const GradientDisplacementType &grad_u, size_t iT_dirac)
	Assemble the global system

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

size_t	nb_bdryDOFs () const
	Returns the nb of DOFs for BC.

size_t	sizeSystem () const
	Returns the size of the system without BC.

const std::vector< std::pair< size_t, size_t > > &	locUKN () const
	Returns the location of the unknowns among the DOFs.

std::vector< size_t >	globalDOFIndices (const Cell &T) const
	Create the vector of DOF indices for cell T, which combines the DOFs for the spaces VSXgrad and Xhess.

const VSXGrad &	vsxGrad () const
	Returns the space VSXGrad.

const XHess &	xHess () const
	Returns the space XHess.

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 &	bdryMatrix () const
	Returns the Matrix for BC.

const Eigen::VectorXd &	bdryValues () const
	Returns the boundary values.

const double &	stabilizationParameter () const
	Returns the stabilization parameter.

double &	stabilizationParameter ()
	Returns the stabilization parameter.

KLNorms	computeNorms (const Eigen::VectorXd &v) const
	Compute the discrete norms: displacement,and energy.

template<typename outValue , typename Fct >
std::function< outValue(const Eigen::Vector2d &)>	contractPara (const Fct &F) const
	Takes a function dependent on KLParameter and a position x, and returns a function depending only on x (using the parameters of this class)

	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 RM problem.

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.

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

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

Public Types

Public Member Functions

Detailed Description

Member Typedef Documentation

◆ DeflectionType

◆ ForcingTermType

◆ MomentTensorEdgeDerivativeType

◆ MomentTensorType

◆ SystemMatrixType

Constructor & Destructor Documentation

◆ KirchhoffLove()

Member Function Documentation

◆ dimensionSpace()

◆ stabilizationParameter() [1/2]

◆ stabilizationParameter() [2/2]

◆ systemMatrix() [1/2]

◆ systemMatrix() [2/2]

◆ systemVector() [1/2]

◆ systemVector() [2/2]

◆ xDivDiv()