Class for handling Dirichlet boundary conditions in Ikarus. More...

#include <ikarus/utils/dirichletvalues.hh>

Public Types
using	Basis = std::remove_cvref_t< Basis_ >

using	FlagsType = FlagsType_

using	BackendType = decltype(Dune::Functions::istlVectorBackend(std::declval< FlagsType & >()))

Public Member Functions
	DirichletValues (const Basis_ &p_basis)

template<typename F >
void	fixBoundaryDOFs (F &&f)
	Function to fix (set boolean values to true or false) degrees of freedom on the boundary. More...

template<typename F >
void	fixDOFs (F &&f)
	Function to fix (set boolean values to true or false) degrees of freedom. More...

void	fixIthDOF (typename Basis::MultiIndex i)
	Function to fix (set boolean values to true or false) of degrees of freedom. More...

const auto &	basis () const

template<typename MultiIndex > requires (not std::integral<MultiIndex>)
bool	isConstrained (const MultiIndex &multiIndex) const

bool	isConstrained (std::size_t i) const

auto	fixedDOFsize () const

auto	size () const

auto &	container () const

template<typename F >
void	storeInhomogeneousBoundaryCondition (F &&f)
	Function to insert a function for inhomogeneous Dirichlet boundary conditions. More...

void	evaluateInhomogeneousBoundaryCondition (Eigen::VectorXd &xIh, const double &lambda)
	Function to evaluate all stored inhomogeneous Dirichlet boundary functions. More...

void	evaluateInhomogeneousBoundaryConditionDerivative (Eigen::VectorXd &xIh, const double &lambda)
	Function to evaluate all stored inhomogeneous Dirichlet boundary derivative functions. More...

Static Public Attributes
static constexpr int	worldDimension = Basis::GridView::dimensionworld

Detailed Description

template<typename Basis_, typename FlagsType_ = std::vector<bool>>
class Ikarus::DirichletValues< Basis_, FlagsType_ >

The DirichletValues class provides functionalities for fixing degrees of freedom and storing inhomogeneous Dirichlet boundary conditions. It supports fixing degrees of freedom using various callback functions and stores functions for inhomogeneous Dirichlet boundary conditions.

Template Parameters

Basis_	Type of the finite element basis
FlagsType_	Type for storing Dirichlet flags (default is std::vector<bool>)

Member Typedef Documentation

◆ BackendType

template<typename Basis_ , typename FlagsType_ = std::vector<bool>>

using Ikarus::DirichletValues< Basis_, FlagsType_ >::BackendType = decltype(Dune::Functions::istlVectorBackend(std::declval<FlagsType&>()))

◆ Basis

template<typename Basis_ , typename FlagsType_ = std::vector<bool>>

using Ikarus::DirichletValues< Basis_, FlagsType_ >::Basis = std::remove_cvref_t<Basis_>

◆ FlagsType

template<typename Basis_ , typename FlagsType_ = std::vector<bool>>

using Ikarus::DirichletValues< Basis_, FlagsType_ >::FlagsType = FlagsType_

Constructor & Destructor Documentation

◆ DirichletValues()

template<typename Basis_ , typename FlagsType_ = std::vector<bool>>

Ikarus::DirichletValues< Basis_, FlagsType_ >::DirichletValues ( const Basis_ & p_basis )

inlineexplicit

Member Function Documentation

◆ basis()

template<typename Basis_ , typename FlagsType_ = std::vector<bool>>

const auto & Ikarus::DirichletValues< Basis_, FlagsType_ >::basis ( ) const

inline

◆ container()

template<typename Basis_ , typename FlagsType_ = std::vector<bool>>

auto & Ikarus::DirichletValues< Basis_, FlagsType_ >::container ( ) const

inline

◆ evaluateInhomogeneousBoundaryCondition()

template<typename Basis_ , typename FlagsType_ = std::vector<bool>>

void Ikarus::DirichletValues< Basis_, FlagsType_ >::evaluateInhomogeneousBoundaryCondition	(	Eigen::VectorXd &	xIh,
		const double &	lambda
	)

inline

This function evaluates all stored inhomogeneous Dirichlet boundary functions at all positions where the corresponding degrees of freedom are true.

Parameters

xIh	The vector where the interpolated result should be stored
lambda	The load factor

◆ evaluateInhomogeneousBoundaryConditionDerivative()

template<typename Basis_ , typename FlagsType_ = std::vector<bool>>

void Ikarus::DirichletValues< Basis_, FlagsType_ >::evaluateInhomogeneousBoundaryConditionDerivative	(	Eigen::VectorXd &	xIh,
		const double &	lambda
	)

inline

This function evaluates all stored inhomogeneous Dirichlet boundary derivative functions at all positions where the corresponding degrees of freedom are true.

Parameters

xIh	The vector where the interpolated result should be stored
lambda	The load factor

◆ fixBoundaryDOFs()

template<typename Basis_ , typename FlagsType_ = std::vector<bool>>

template<typename F >

void Ikarus::DirichletValues< Basis_, FlagsType_ >::fixBoundaryDOFs ( F && f )

inline

This function takes a callback function, which will be called with the boolean vector of fixed boundary degrees of freedom and the usual arguments of Dune::Functions::forEachBoundaryDOF.

Parameters

f	A callback function

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◆ fixDOFs()

template<typename Basis_ , typename FlagsType_ = std::vector<bool>>

template<typename F >

void Ikarus::DirichletValues< Basis_, FlagsType_ >::fixDOFs ( F && f )

inline

This function takes a callback function, which will be called with the stored function space basis and the boolean vector of fixed boundary degrees of freedom.

Parameters

f	A callback function

◆ fixedDOFsize()

template<typename Basis_ , typename FlagsType_ = std::vector<bool>>

auto Ikarus::DirichletValues< Basis_, FlagsType_ >::fixedDOFsize ( ) const

inline

◆ fixIthDOF()

template<typename Basis_ , typename FlagsType_ = std::vector<bool>>

void Ikarus::DirichletValues< Basis_, FlagsType_ >::fixIthDOF ( typename Basis::MultiIndex i )

inline

Parameters

i	An index indicating the DOF number to be fixed

◆ isConstrained() [1/2]

template<typename Basis_ , typename FlagsType_ = std::vector<bool>>

template<typename MultiIndex >
requires (not std::integral<MultiIndex>)

bool Ikarus::DirichletValues< Basis_, FlagsType_ >::isConstrained ( const MultiIndex & multiIndex ) const

inline

◆ isConstrained() [2/2]

template<typename Basis_ , typename FlagsType_ = std::vector<bool>>

bool Ikarus::DirichletValues< Basis_, FlagsType_ >::isConstrained ( std::size_t i ) const

inline

◆ size()

template<typename Basis_ , typename FlagsType_ = std::vector<bool>>

auto Ikarus::DirichletValues< Basis_, FlagsType_ >::size ( ) const

inline

◆ storeInhomogeneousBoundaryCondition()

template<typename Basis_ , typename FlagsType_ = std::vector<bool>>

template<typename F >

void Ikarus::DirichletValues< Basis_, FlagsType_ >::storeInhomogeneousBoundaryCondition ( F && f )

inline

This function takes a callback function, which will be called with the current coordinate vector and the scalar load factor. It creates internally the first derivative of the passed function and stores them simultaneously.

Parameters

f	A callback function

Member Data Documentation

◆ worldDimension

template<typename Basis_ , typename FlagsType_ = std::vector<bool>>

constexpr int Ikarus::DirichletValues< Basis_, FlagsType_ >::worldDimension = Basis::GridView::dimensionworld

staticconstexpr

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

utils/dirichletvalues.hh

Public Types

Public Member Functions

Static Public Attributes

Detailed Description

Member Typedef Documentation

◆ BackendType

◆ Basis

◆ FlagsType

Constructor & Destructor Documentation

◆ DirichletValues()

Member Function Documentation

◆ basis()

◆ container()

◆ evaluateInhomogeneousBoundaryCondition()

◆ evaluateInhomogeneousBoundaryConditionDerivative()

◆ fixBoundaryDOFs()

◆ fixDOFs()

◆ fixedDOFsize()

◆ fixIthDOF()

◆ isConstrained() [1/2]

◆ isConstrained() [2/2]

◆ size()

◆ storeInhomogeneousBoundaryCondition()

Member Data Documentation

◆ worldDimension