DenseFlatAssembler assembles matrix quantities using a flat basis Indexing strategy. The matrix is stored in a dense matrix format. This format is exploited during the assembly process. More...

#include <ikarus/assembler/simpleassemblers.hh>

Inheritance diagram for Ikarus::DenseFlatAssembler< FEContainer_, DirichletValuesType_ >:

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Public Types
using	FEContainerRaw = std::remove_cvref_t< FEContainer_ >
	Type of the raw finite element container. More...

using	Base = VectorFlatAssembler< FEContainer_, DirichletValuesType_ >
	Type alias for the base class. More...

using	Basis = typename DirichletValuesType_::Basis
	Type of the basis. More...

using	DirichletValuesType = DirichletValuesType_
	Type of the Dirichlet values. More...

using	FEContainer = FEContainer_
	Type of the finite element container. More...

using	FERequirementType = typename FEContainerRaw::value_type::FERequirementType
	Type of the finite element requirement. More...

using	GlobalIndex = typename FEContainerRaw::value_type::GlobalIndex
	Type of the global index. More...

using	GridView = typename Basis::GridView
	Type of the grid view. More...

using	FEContainerType = std::conditional_t< std::is_reference_v< FEContainer >, const FEContainer, FEContainer >
	Type of the finite element container (reference or by value). More...

Public Member Functions
	DenseFlatAssembler (FEContainer &&fes, const DirichletValuesType &dirichletValues_)
	< Type of the global index. More...

const Eigen::MatrixXd &	getRawMatrix (const FERequirementType &feRequirements)
	Calculates the matrix quantity requested by feRequirements and returns a reference. More...

const Eigen::MatrixXd &	getMatrix (const FERequirementType &feRequirements)
	Calculates the matrix quantity requested by feRequirements and returns a reference. A zero is written on fixed degrees of freedom rows and columns, and a one is written on the diagonal. More...

const Eigen::MatrixXd &	getReducedMatrix (const FERequirementType &feRequirements)
	Calculates the matrix quantity requested by feRequirements and returns a reference. The size of the matrix has the size of the free degrees of freedom. More...

const Eigen::VectorXd &	getRawVector (const FERequirementType &feRequirements)
	Calculates the vectorial quantity requested by feRequirements and returns a reference. More...

const Eigen::VectorXd &	getVector (const FERequirementType &feRequirements)
	Calculates the vectorial quantity requested by feRequirements and returns a reference. A zero is written on fixed degrees of freedom. More...

const Eigen::VectorXd &	getReducedVector (const FERequirementType &feRequirements)
	Calculates the vectorial quantity requested by feRequirements and returns a reference. This vector has a reduced size by the number of fixed degrees of freedom. More...

const double &	getScalar (const FERequirementType &feRequirements)
	Calculates the scalar quantity requested by feRequirements and returns a reference. More...

size_t	reducedSize ()
	Returns the size of the free degrees of freedom, which are not fixed by a Dirichlet boundary condition. More...

size_t	size ()
	Returns the size of nodes, i.e., the number of degrees of freedom. More...

Eigen::VectorXd	createFullVector (Eigen::Ref< const Eigen::VectorXd > reducedVector)
	Creates the full-sized vector of size Dof and inserts the values of a reduced vector at the "free" degrees of freedom and writes a zero for the fixed doffs. More...

auto &	finiteElements () const
	Returns the container of finite elements. More...

size_t	constraintsBelow (size_t i) const
	Returns the number of constraints below a given degrees of freedom index. More...

bool	isConstrained (size_t i) const
	Returns true if a given degree of freedom is fixed by a Dirichlet boundary condition. More...

size_t	estimateOfConnectivity () const
	Coarse estimate of node connectivity, i.e., this relates to the bandwidth of a sparse matrix. This estimate overestimates the real connectivity and should only be used for allocating vectors. More...

Detailed Description

template<typename FEContainer_, typename DirichletValuesType_>
class Ikarus::DenseFlatAssembler< FEContainer_, DirichletValuesType_ >

Template Parameters

FEContainer_	Type of the finite element container.
DirichletValuesType_	Type of the Dirichlet values.

Note: Requires Ikarus::Concepts::FlatIndexBasis<BasisEmbedded>.

Member Typedef Documentation

◆ Base

template<typename FEContainer_ , typename DirichletValuesType_ >

using Ikarus::DenseFlatAssembler< FEContainer_, DirichletValuesType_ >::Base = VectorFlatAssembler<FEContainer_, DirichletValuesType_>

◆ Basis

template<typename FEContainer_ , typename DirichletValuesType_ >

using Ikarus::FlatAssemblerBase< FEContainer_, DirichletValuesType_ >::Basis = typename DirichletValuesType_::Basis

◆ DirichletValuesType

template<typename FEContainer_ , typename DirichletValuesType_ >

using Ikarus::FlatAssemblerBase< FEContainer_, DirichletValuesType_ >::DirichletValuesType = DirichletValuesType_

◆ FEContainer

template<typename FEContainer_ , typename DirichletValuesType_ >

using Ikarus::FlatAssemblerBase< FEContainer_, DirichletValuesType_ >::FEContainer = FEContainer_

◆ FEContainerRaw

template<typename FEContainer_ , typename DirichletValuesType_ >

using Ikarus::DenseFlatAssembler< FEContainer_, DirichletValuesType_ >::FEContainerRaw = std::remove_cvref_t<FEContainer_>

◆ FEContainerType

template<typename FEContainer_ , typename DirichletValuesType_ >

using Ikarus::FlatAssemblerBase< FEContainer_, DirichletValuesType_ >::FEContainerType = std::conditional_t<std::is_reference_v<FEContainer>, const FEContainer, FEContainer>

inherited

◆ FERequirementType

template<typename FEContainer_ , typename DirichletValuesType_ >

using Ikarus::FlatAssemblerBase< FEContainer_, DirichletValuesType_ >::FERequirementType = typename FEContainerRaw::value_type::FERequirementType

◆ GlobalIndex

template<typename FEContainer_ , typename DirichletValuesType_ >

using Ikarus::FlatAssemblerBase< FEContainer_, DirichletValuesType_ >::GlobalIndex = typename FEContainerRaw::value_type::GlobalIndex

◆ GridView

template<typename FEContainer_ , typename DirichletValuesType_ >

using Ikarus::FlatAssemblerBase< FEContainer_, DirichletValuesType_ >::GridView = typename Basis::GridView

inherited

Constructor & Destructor Documentation

◆ DenseFlatAssembler()

template<typename FEContainer_ , typename DirichletValuesType_ >

Ikarus::DenseFlatAssembler< FEContainer_, DirichletValuesType_ >::DenseFlatAssembler	(	FEContainer &&	fes,
		const DirichletValuesType &	dirichletValues_
	)

inlineexplicit

Constructor for DenseFlatAssembler.

Parameters

fes	Finite element container.
dirichletValues_	Reference to Dirichlet values.

Member Function Documentation

◆ constraintsBelow()

template<typename FEContainer_ , typename DirichletValuesType_ >

size_t Ikarus::FlatAssemblerBase< FEContainer_, DirichletValuesType_ >::constraintsBelow ( size_t i ) const

inlineinherited

Parameters

i	Index of the degree of freedom.

Returns: Number of constraints below the given index.

◆ createFullVector()

template<typename Basis , typename FEContainer >

Eigen::VectorXd Ikarus::FlatAssemblerBase< Basis, FEContainer >::createFullVector ( Eigen::Ref< const Eigen::VectorXd > reducedVector )

inherited

Parameters

reducedVector Reference to the reduced vector.

Returns: Eigen::VectorXd The full-sized vector.

◆ estimateOfConnectivity()

template<typename FEContainer_ , typename DirichletValuesType_ >

size_t Ikarus::FlatAssemblerBase< FEContainer_, DirichletValuesType_ >::estimateOfConnectivity ( ) const

inlineinherited

Returns: Size_t Coarse estimate of node connectivity.

◆ finiteElements()

template<typename FEContainer_ , typename DirichletValuesType_ >

auto & Ikarus::FlatAssemblerBase< FEContainer_, DirichletValuesType_ >::finiteElements ( ) const

inlineinherited

Returns: Reference to the finite element container.

◆ getMatrix()

template<typename FEContainer_ , typename DirichletValuesType_ >

const Eigen::MatrixXd & Ikarus::DenseFlatAssembler< FEContainer_, DirichletValuesType_ >::getMatrix ( const FERequirementType & feRequirements )

inline

Parameters

feRequirements Reference to the finite element requirements.

Returns: Reference to the modified dense matrix quantity.

◆ getRawMatrix()

template<typename FEContainer_ , typename DirichletValuesType_ >

const Eigen::MatrixXd & Ikarus::DenseFlatAssembler< FEContainer_, DirichletValuesType_ >::getRawMatrix ( const FERequirementType & feRequirements )

inline

Parameters

feRequirements Reference to the finite element requirements.

Returns: Reference to the raw dense matrix quantity.

◆ getRawVector()

template<typename FEContainer_ , typename DirichletValuesType_ >

const Eigen::VectorXd & Ikarus::VectorFlatAssembler< FEContainer_, DirichletValuesType_ >::getRawVector ( const FERequirementType & feRequirements )

inlineinherited

Parameters

feRequirements Reference to the finite element requirements.

Returns: Const reference to the calculated vectorial quantity.

◆ getReducedMatrix()

template<typename FEContainer_ , typename DirichletValuesType_ >

const Eigen::MatrixXd & Ikarus::DenseFlatAssembler< FEContainer_, DirichletValuesType_ >::getReducedMatrix ( const FERequirementType & feRequirements )

inline

Parameters

feRequirements Reference to the finite element requirements.

Returns: Reference to the reduced dense matrix quantity.

◆ getReducedVector()

template<typename FEContainer_ , typename DirichletValuesType_ >

const Eigen::VectorXd & Ikarus::VectorFlatAssembler< FEContainer_, DirichletValuesType_ >::getReducedVector ( const FERequirementType & feRequirements )

inlineinherited

Parameters

feRequirements Reference to the finite element requirements.

Returns: Const reference to the calculated reduced vectorial quantity.

◆ getScalar()

template<typename FEContainer_ , typename DirichletValuesType_ >

const double & Ikarus::ScalarAssembler< FEContainer_, DirichletValuesType_ >::getScalar ( const FERequirementType & feRequirements )

inlineinherited

Parameters

feRequirements Reference to the finite element requirements.

Returns: Const reference to the calculated scalar quantity.

◆ getVector()

template<typename FEContainer_ , typename DirichletValuesType_ >

const Eigen::VectorXd & Ikarus::VectorFlatAssembler< FEContainer_, DirichletValuesType_ >::getVector ( const FERequirementType & feRequirements )

inlineinherited

Parameters

feRequirements Reference to the finite element requirements.

Returns: Const reference to the calculated vectorial quantity.

◆ isConstrained()

template<typename FEContainer_ , typename DirichletValuesType_ >

bool Ikarus::FlatAssemblerBase< FEContainer_, DirichletValuesType_ >::isConstrained ( size_t i ) const

inlineinherited

Parameters

i	Index of the degree of freedom.

Returns: True if the degree of freedom is fixed; false otherwise.

◆ reducedSize()

template<typename FEContainer_ , typename DirichletValuesType_ >

size_t Ikarus::FlatAssemblerBase< FEContainer_, DirichletValuesType_ >::reducedSize ( )

inlineinherited

Returns: Size of the reduced degrees of freedom.

◆ size()

template<typename FEContainer_ , typename DirichletValuesType_ >

size_t Ikarus::FlatAssemblerBase< FEContainer_, DirichletValuesType_ >::size ( )

inlineinherited

Returns: Size of the degrees of freedom.

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

Public Types

Public Member Functions

Detailed Description

Member Typedef Documentation

◆ Base

◆ Basis

◆ DirichletValuesType

◆ FEContainer

◆ FEContainerRaw

◆ FEContainerType

◆ FERequirementType

◆ GlobalIndex

◆ GridView

Constructor & Destructor Documentation

◆ DenseFlatAssembler()

Member Function Documentation

◆ constraintsBelow()

◆ createFullVector()

◆ estimateOfConnectivity()

◆ finiteElements()

◆ getMatrix()

◆ getRawMatrix()

◆ getRawVector()

◆ getReducedMatrix()

◆ getReducedVector()

◆ getScalar()

◆ getVector()

◆ isConstrained()

◆ reducedSize()

◆ size()