Collaboration diagram for BGG_rmplate:

Classes
struct	HArDCore2D::KLNorms
	Structure to store component norms (displacement total energy) More...

struct	HArDCore2D::KirchhoffLove
	Assemble a RM problem. More...

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

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

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

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

Functions
	HArDCore2D::KLNorms::KLNorms (double norm_displacement)
	Constructor.

	HArDCore2D::KirchhoffLove::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	HArDCore2D::KirchhoffLove::assembleLinearSystem (const ForcingTermType &f, const SolutionDisplacementType &u, const GradientDisplacementType &grad_u)
	Assemble the global system

size_t	HArDCore2D::KirchhoffLove::dimensionSpace () const
	Returns the dimension of the rotation + displacement space (with BC)

size_t	HArDCore2D::KirchhoffLove::nb_bdryDOFs () const
	Returns the nb of DOFs for BC.

size_t	HArDCore2D::KirchhoffLove::sizeSystem () const
	Returns the size of the system without BC.

const std::vector< std::pair< size_t, size_t > > &	HArDCore2D::KirchhoffLove::locUKN () const
	Returns the location of the unknowns among the DOFs.

std::vector< size_t >	HArDCore2D::KirchhoffLove::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 &	HArDCore2D::KirchhoffLove::vsxGrad () const
	Returns the space VSXGrad.

const XHess &	HArDCore2D::KirchhoffLove::xHess () const
	Returns the space XHess.

const SystemMatrixType &	HArDCore2D::KirchhoffLove::systemMatrix () const
	Returns the linear system matrix.

SystemMatrixType &	HArDCore2D::KirchhoffLove::systemMatrix ()
	Returns the linear system matrix.

const Eigen::VectorXd &	HArDCore2D::KirchhoffLove::systemVector () const
	Returns the linear system right-hand side vector.

Eigen::VectorXd &	HArDCore2D::KirchhoffLove::systemVector ()
	Returns the linear system right-hand side vector.

const SystemMatrixType &	HArDCore2D::KirchhoffLove::bdryMatrix () const
	Returns the Matrix for BC.

const Eigen::VectorXd &	HArDCore2D::KirchhoffLove::bdryValues () const
	Returns the boundary values.

const double &	HArDCore2D::KirchhoffLove::stabilizationParameter () const
	Returns the stabilization parameter.

double &	HArDCore2D::KirchhoffLove::stabilizationParameter ()
	Returns the stabilization parameter.

KLNorms	HArDCore2D::KirchhoffLove::computeNorms (const Eigen::VectorXd &v) const
	Compute the discrete norms: displacement,and energy.

template<typename outValue , typename Fct >
std::function< outValue(const Eigen::Vector2d &)>	HArDCore2D::KirchhoffLove::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)

Variables
double	HArDCore2D::KLNorms::displacement
	Norm of displacement.

double	HArDCore2D::KLNorms::energy
	Total energy.

static const double	HArDCore2D::PI = boost::math::constants::pi<double>()

static KirchhoffLove::SolutionDisplacementType	HArDCore2D::constant_u

static KirchhoffLove::GradientDisplacementType	HArDCore2D::constant_grad_u

static KirchhoffLove::ForcingTermType	HArDCore2D::constant_f

static KirchhoffLove::SolutionDisplacementType	HArDCore2D::polynomial_u

static KirchhoffLove::GradientDisplacementType	HArDCore2D::polynomial_grad_u

static KirchhoffLove::ForcingTermType	HArDCore2D::polynomial_f

Detailed Description

Typedef Documentation

◆ ForcingTermType

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

◆ GradientDisplacementType

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

◆ SolutionDisplacementType

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

◆ SystemMatrixType

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

Function Documentation

◆ assembleLinearSystem()

void KirchhoffLove::assembleLinearSystem	(	const ForcingTermType &	f,
		const SolutionDisplacementType &	u,
		const GradientDisplacementType &	grad_u
	)

Assemble the global system

Parameters

f	Forcing term
u	Boundary value
grad_u	Boundary value

◆ bdryMatrix()

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

inline

Returns the Matrix for BC.

◆ bdryValues()

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

inline

Returns the boundary values.

◆ computeNorms()

KLNorms KirchhoffLove::computeNorms ( const Eigen::VectorXd & v ) const

Compute the discrete norms: displacement,and energy.

Parameters

v	The vector

◆ contractPara()

template<typename outValue , typename Fct >

std::function< outValue(const Eigen::Vector2d &)> HArDCore2D::KirchhoffLove::contractPara ( const Fct & F ) const

inline

Takes a function dependent on KLParameter and a position x, and returns a function depending only on x (using the parameters of this class)

◆ dimensionSpace()

size_t HArDCore2D::KirchhoffLove::dimensionSpace ( ) const

inline

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

◆ globalDOFIndices()

std::vector< size_t > HArDCore2D::KirchhoffLove::globalDOFIndices ( const Cell & T ) const

inline

Create the vector of DOF indices for cell T, which combines the DOFs for the spaces VSXgrad and Xhess.

◆ KirchhoffLove()

KirchhoffLove::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.

Parameters

ddrcore	Core for the DDR space sequence
ddrcore_plus	Core for the DDR space sequence of degree +1
sp_plus	Serendipity problem of degree +1
BC_u	Boundary conditions for displacement
use_threads	True for parallel execution, false for sequential execution
output	Output stream to print status messages

◆ KLNorms()

HArDCore2D::KLNorms::KLNorms ( double norm_displacement )

inline

Constructor.

◆ locUKN()

const std::vector< std::pair< size_t, size_t > > & HArDCore2D::KirchhoffLove::locUKN ( ) const

inline

Returns the location of the unknowns among the DOFs.

◆ nb_bdryDOFs()

size_t HArDCore2D::KirchhoffLove::nb_bdryDOFs ( ) const

inline

Returns the nb of DOFs for BC.

◆ sizeSystem()

size_t HArDCore2D::KirchhoffLove::sizeSystem ( ) const

inline

Returns the size of the system without 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.

◆ vsxGrad()

const VSXGrad & HArDCore2D::KirchhoffLove::vsxGrad ( ) const

inline

Returns the space VSXGrad.

◆ xHess()

const XHess & HArDCore2D::KirchhoffLove::xHess ( ) const

inline

Returns the space XHess.

Variable Documentation

◆ constant_f

KirchhoffLove::ForcingTermType HArDCore2D::constant_f

static

Initial value:

= [](const VectorRd & x) -> double {
                 return 0.;
               }

◆ constant_grad_u

KirchhoffLove::GradientDisplacementType HArDCore2D::constant_grad_u

static

Initial value:

= [](const VectorRd & ) -> VectorRd{
                    return VectorRd::Zero();
                }

◆ constant_u

KirchhoffLove::SolutionDisplacementType HArDCore2D::constant_u

static

Initial value:

= [](const VectorRd & x) -> double {
                     return 1.;
                   }

◆ displacement

double HArDCore2D::KLNorms::displacement

Norm of displacement.

◆ energy

double HArDCore2D::KLNorms::energy

Total energy.

◆ PI

const double HArDCore2D::PI = boost::math::constants::pi<double>()

static

◆ polynomial_f

KirchhoffLove::ForcingTermType HArDCore2D::polynomial_f

static

Initial value:

= [](const VectorRd & x) -> double {
                 return 120. * (x(0) + x(1));
               }

◆ polynomial_grad_u

KirchhoffLove::GradientDisplacementType HArDCore2D::polynomial_grad_u

static

Initial value:

= [](const VectorRd & x) -> VectorRd {
      VectorRd grad;
      grad(0) = 5.0 * pow(x(0), 4);
      grad(1) = 5.0 * pow(x(1), 4);
  return grad;
  }

◆ polynomial_u

KirchhoffLove::SolutionDisplacementType HArDCore2D::polynomial_u

static

Initial value:

= [](const VectorRd & x) -> double {
    return pow(x(0), 5) + pow(x(1), 5);
  }

Classes

Typedefs

Functions

Variables

Detailed Description

Typedef Documentation

◆ ForcingTermType

◆ GradientDisplacementType

◆ SolutionDisplacementType

◆ SystemMatrixType

Function Documentation

◆ assembleLinearSystem()

◆ bdryMatrix()

◆ bdryValues()

◆ computeNorms()

◆ contractPara()

◆ dimensionSpace()

◆ globalDOFIndices()

◆ KirchhoffLove()

◆ KLNorms()

◆ locUKN()

◆ nb_bdryDOFs()

◆ sizeSystem()

◆ stabilizationParameter() [1/2]

◆ stabilizationParameter() [2/2]

◆ systemMatrix() [1/2]

◆ systemMatrix() [2/2]

◆ systemVector() [1/2]

◆ systemVector() [2/2]

◆ vsxGrad()

◆ xHess()

Variable Documentation

◆ constant_f

◆ constant_grad_u

◆ constant_u

◆ displacement

◆ energy

◆ PI

◆ polynomial_f

◆ polynomial_grad_u

◆ polynomial_u