Sparse matrix from with dependent DOFs are eliminated, and the remaining (small) independent system is partitioned in an unknown and a prescribed part. More...

#include <GooseFEM/MatrixPartitionedTyings.h>

Inheritance diagram for GooseFEM::MatrixPartitionedTyings:

Public Member Functions
	MatrixPartitionedTyings (const array_type::tensor< size_t, 2 > &conn, const array_type::tensor< size_t, 2 > &dofs, const Eigen::SparseMatrix< double > &Cdu, const Eigen::SparseMatrix< double > &Cdp)
	Constructor.

const Eigen::SparseMatrix< double > &	data_uu () const
	Pointer to data.

const Eigen::SparseMatrix< double > &	data_up () const
	Pointer to data.

const Eigen::SparseMatrix< double > &	data_pu () const
	Pointer to data.

const Eigen::SparseMatrix< double > &	data_pp () const
	Pointer to data.

const Eigen::SparseMatrix< double > &	data_ud () const
	Pointer to data.

const Eigen::SparseMatrix< double > &	data_pd () const
	Pointer to data.

const Eigen::SparseMatrix< double > &	data_du () const
	Pointer to data.

const Eigen::SparseMatrix< double > &	data_dp () const
	Pointer to data.

const Eigen::SparseMatrix< double > &	data_dd () const
	Pointer to data.

Public Member Functions inherited from GooseFEM::MatrixPartitionedTyingsBase< MatrixPartitionedTyings >
size_t	nni () const
	Number of independent DOFs.

size_t	nnd () const
	Number of dependent DOFs.

const array_type::tensor< size_t, 1 > &	iii () const
	Independent DOFs.

const array_type::tensor< size_t, 1 > &	iid () const
	Dependent DOFs.

Public Member Functions inherited from GooseFEM::MatrixPartitionedBase< D >
size_t	nnu () const
	Number of unknown DOFs.

size_t	nnp () const
	Number of prescribed DOFs.

const array_type::tensor< size_t, 1 > &	iiu () const
	Unknown DOFs.

const array_type::tensor< size_t, 1 > &	iip () const
	Prescribed DOFs.

array_type::tensor< double, 2 >	Reaction (const array_type::tensor< double, 2 > &x, const array_type::tensor< double, 2 > &b) const
	Right-hand-size for corresponding to the prescribed DOFs:

array_type::tensor< double, 1 >	Reaction (const array_type::tensor< double, 1 > &x, const array_type::tensor< double, 1 > &b) const
	Same as Reaction(const array_type::tensor<double, 2>&, const array_type::tensor<double, 2>&), but of "dofval" input and output.

void	reaction (const array_type::tensor< double, 2 > &x, array_type::tensor< double, 2 > &b) const
	Same as Reaction(const array_type::tensor<double, 2>&, const array_type::tensor<double, 2>&), but inserting in-place.

void	reaction (const array_type::tensor< double, 1 > &x, array_type::tensor< double, 1 > &b) const
	Same as Reaction(const array_type::tensor<double, 1>&, const array_type::tensor<double, 1>&), but inserting in-place.

array_type::tensor< double, 1 >	Reaction_p (const array_type::tensor< double, 1 > &x_u, const array_type::tensor< double, 1 > &x_p) const
	Same as Reaction(const array_type::tensor<double, 1>&, const array_type::tensor<double, 1>&), but with partitioned input and output.

void	reaction_p (const array_type::tensor< double, 1 > &x_u, const array_type::tensor< double, 1 > &x_p, array_type::tensor< double, 1 > &b_p) const
	Same as Reaction_p(const array_type::tensor<double, 1>&, const array_type::tensor<double, 1>&), but writing to preallocated output.

Public Member Functions inherited from GooseFEM::MatrixBase< D >
size_t	nelem () const
	Number of elements.

size_t	nne () const
	Number of nodes per element.

size_t	nnode () const
	Number of nodes.

size_t	ndim () const
	Number of dimensions.

size_t	ndof () const
	Number of DOFs.

const array_type::tensor< size_t, 2 > &	dofs () const
	DOFs per node.

const array_type::tensor< size_t, 2 > &	conn () const
	Connectivity.

std::array< size_t, 1 >	shape_dofval () const
	Shape of "dofval".

std::array< size_t, 2 >	shape_nodevec () const
	Shape of "nodevec".

std::array< size_t, 3 >	shape_elemmat () const
	Shape of "elemmat".

template<class T >
void	assemble (const T &elemmat)
	Assemble from "elemmat".

array_type::tensor< double, 2 >	Todense () const
	Copy as dense matrix.

template<class T >
void	todense (T &ret) const
	Copy to dense matrix.

array_type::tensor< double, 2 >	Dot (const array_type::tensor< double, 2 > &x) const
	Dot-product \( b_i = A_{ij} x_j \).

array_type::tensor< double, 1 >	Dot (const array_type::tensor< double, 1 > &x) const
	Dot-product \( b_i = A_{ij} x_j \).

void	dot (const array_type::tensor< double, 2 > &x, array_type::tensor< double, 2 > &b) const
	Dot-product \( b_i = A_{ij} x_j \).

void	dot (const array_type::tensor< double, 1 > &x, array_type::tensor< double, 1 > &b) const
	Dot-product \( b_i = A_{ij} x_j \).

Protected Attributes
Eigen::SparseMatrix< double >	m_Auu
	The matrix.

Eigen::SparseMatrix< double >	m_Aup
	The matrix.

Eigen::SparseMatrix< double >	m_Apu
	The matrix.

Eigen::SparseMatrix< double >	m_App
	The matrix.

Eigen::SparseMatrix< double >	m_Aud
	The matrix.

Eigen::SparseMatrix< double >	m_Apd
	The matrix.

Eigen::SparseMatrix< double >	m_Adu
	The matrix.

Eigen::SparseMatrix< double >	m_Adp
	The matrix.

Eigen::SparseMatrix< double >	m_Add
	The matrix.

Eigen::SparseMatrix< double >	m_ACuu
	// The matrix for which the tyings have been applied.

Eigen::SparseMatrix< double >	m_ACup
	// The matrix for which the tyings have been applied.

Eigen::SparseMatrix< double >	m_ACpu
	// The matrix for which the tyings have been applied.

Eigen::SparseMatrix< double >	m_ACpp
	// The matrix for which the tyings have been applied.

std::vector< Eigen::Triplet< double > >	m_Tuu
	Matrix entries.

std::vector< Eigen::Triplet< double > >	m_Tup
	Matrix entries.

std::vector< Eigen::Triplet< double > >	m_Tpu
	Matrix entries.

std::vector< Eigen::Triplet< double > >	m_Tpp
	Matrix entries.

std::vector< Eigen::Triplet< double > >	m_Tud
	Matrix entries.

std::vector< Eigen::Triplet< double > >	m_Tpd
	Matrix entries.

std::vector< Eigen::Triplet< double > >	m_Tdu
	Matrix entries.

std::vector< Eigen::Triplet< double > >	m_Tdp
	Matrix entries.

std::vector< Eigen::Triplet< double > >	m_Tdd
	Matrix entries.

Eigen::SparseMatrix< double >	m_Cdu
	Tying matrix, see Tyings::Periodic::Cdu().

Eigen::SparseMatrix< double >	m_Cdp
	Tying matrix, see Tyings::Periodic::Cdp().

Eigen::SparseMatrix< double >	m_Cud
	Transpose of "m_Cdu".

Eigen::SparseMatrix< double >	m_Cpd
	Transpose of "m_Cdp".

Protected Attributes inherited from GooseFEM::MatrixPartitionedTyingsBase< MatrixPartitionedTyings >
array_type::tensor< size_t, 1 >	m_iii
	See iii()

array_type::tensor< size_t, 1 >	m_iid
	See iid()

size_t	m_nni
	See nni.

size_t	m_nnd
	See nnd.

Protected Attributes inherited from GooseFEM::MatrixPartitionedBase< D >
array_type::tensor< size_t, 1 >	m_iiu
	See iiu()

array_type::tensor< size_t, 1 >	m_iip
	See iip()

size_t	m_nnu
	See nnu.

size_t	m_nnp
	See nnp.

Protected Attributes inherited from GooseFEM::MatrixBase< D >
array_type::tensor< size_t, 2 >	m_conn
	Connectivity [nelem, nne].

array_type::tensor< size_t, 2 >	m_dofs
	DOF-numbers per node [nnode, ndim].

size_t	m_nelem
	See nelem().

size_t	m_nne
	See nne().

size_t	m_nnode
	See nnode().

size_t	m_ndim
	See ndim().

size_t	m_ndof
	See ndof().

bool	m_changed = true
	Signal changes to data.

Friends
template<class >
class	MatrixPartitionedTyingsSolver

Additional Inherited Members
Public Types inherited from GooseFEM::MatrixPartitionedTyingsBase< MatrixPartitionedTyings >
using	derived_type
	Underlying type.

Public Types inherited from GooseFEM::MatrixPartitionedBase< D >
using	derived_type = D
	Underlying type.

Public Types inherited from GooseFEM::MatrixBase< D >
using	derived_type = D
	Underlying type.

Detailed Description

Sparse matrix from with dependent DOFs are eliminated, and the remaining (small) independent system is partitioned in an unknown and a prescribed part.

In particular:

\( A_{ii} = \begin{bmatrix} A_{uu} & A_{up} \\ A_{pu} & A_{pp} \end{bmatrix} \)

See VectorPartitionedTyings() for bookkeeping definitions.

Definition at line 37 of file MatrixPartitionedTyings.h.

Constructor & Destructor Documentation

◆ MatrixPartitionedTyings()

GooseFEM::MatrixPartitionedTyings::MatrixPartitionedTyings	(	const array_type::tensor< size_t, 2 > &	conn,
		const array_type::tensor< size_t, 2 > &	dofs,
		const Eigen::SparseMatrix< double > &	Cdu,
		const Eigen::SparseMatrix< double > &	Cdp )

inline

Constructor.

Parameters

conn	connectivity [nelem, nne].
dofs	DOFs per node [nnode, ndim].
Cdu	See Tyings::Periodic::Cdu().
Cdp	See Tyings::Periodic::Cdp().

Definition at line 86 of file MatrixPartitionedTyings.h.

Member Function Documentation

◆ data_dd()

const Eigen::SparseMatrix< double > & GooseFEM::MatrixPartitionedTyings::data_dd ( ) const

inline

Pointer to data.

Definition at line 204 of file MatrixPartitionedTyings.h.

◆ data_dp()

const Eigen::SparseMatrix< double > & GooseFEM::MatrixPartitionedTyings::data_dp ( ) const

inline

Pointer to data.

Definition at line 196 of file MatrixPartitionedTyings.h.

◆ data_du()

const Eigen::SparseMatrix< double > & GooseFEM::MatrixPartitionedTyings::data_du ( ) const

inline

Pointer to data.

Definition at line 188 of file MatrixPartitionedTyings.h.

◆ data_pd()

const Eigen::SparseMatrix< double > & GooseFEM::MatrixPartitionedTyings::data_pd ( ) const

inline

Pointer to data.

Definition at line 180 of file MatrixPartitionedTyings.h.

◆ data_pp()

const Eigen::SparseMatrix< double > & GooseFEM::MatrixPartitionedTyings::data_pp ( ) const

inline

Pointer to data.

Definition at line 164 of file MatrixPartitionedTyings.h.

◆ data_pu()

const Eigen::SparseMatrix< double > & GooseFEM::MatrixPartitionedTyings::data_pu ( ) const

inline

Pointer to data.

Definition at line 156 of file MatrixPartitionedTyings.h.

◆ data_ud()

const Eigen::SparseMatrix< double > & GooseFEM::MatrixPartitionedTyings::data_ud ( ) const

inline

Pointer to data.

Definition at line 172 of file MatrixPartitionedTyings.h.

◆ data_up()

const Eigen::SparseMatrix< double > & GooseFEM::MatrixPartitionedTyings::data_up ( ) const

inline

Pointer to data.

Definition at line 148 of file MatrixPartitionedTyings.h.

◆ data_uu()

const Eigen::SparseMatrix< double > & GooseFEM::MatrixPartitionedTyings::data_uu ( ) const

inline

Pointer to data.

Definition at line 140 of file MatrixPartitionedTyings.h.

Friends And Related Symbol Documentation

◆ MatrixPartitionedTyingsSolver

template<class >

friend class MatrixPartitionedTyingsSolver

friend

Definition at line 73 of file MatrixPartitionedTyings.h.

Member Data Documentation

◆ m_ACpp

Eigen::SparseMatrix<double> GooseFEM::MatrixPartitionedTyings::m_ACpp

protected

// The matrix for which the tyings have been applied.

Definition at line 56 of file MatrixPartitionedTyings.h.

◆ m_ACpu

Eigen::SparseMatrix<double> GooseFEM::MatrixPartitionedTyings::m_ACpu

protected

// The matrix for which the tyings have been applied.

Definition at line 55 of file MatrixPartitionedTyings.h.

◆ m_ACup

Eigen::SparseMatrix<double> GooseFEM::MatrixPartitionedTyings::m_ACup

protected

// The matrix for which the tyings have been applied.

Definition at line 54 of file MatrixPartitionedTyings.h.

◆ m_ACuu

Eigen::SparseMatrix<double> GooseFEM::MatrixPartitionedTyings::m_ACuu

protected

// The matrix for which the tyings have been applied.

Definition at line 53 of file MatrixPartitionedTyings.h.

◆ m_Add

Eigen::SparseMatrix<double> GooseFEM::MatrixPartitionedTyings::m_Add

protected

The matrix.

Definition at line 52 of file MatrixPartitionedTyings.h.

◆ m_Adp

Eigen::SparseMatrix<double> GooseFEM::MatrixPartitionedTyings::m_Adp

protected

The matrix.

Definition at line 51 of file MatrixPartitionedTyings.h.

◆ m_Adu

Eigen::SparseMatrix<double> GooseFEM::MatrixPartitionedTyings::m_Adu

protected

The matrix.

Definition at line 50 of file MatrixPartitionedTyings.h.

◆ m_Apd

Eigen::SparseMatrix<double> GooseFEM::MatrixPartitionedTyings::m_Apd

protected

The matrix.

Definition at line 49 of file MatrixPartitionedTyings.h.

◆ m_App

Eigen::SparseMatrix<double> GooseFEM::MatrixPartitionedTyings::m_App

protected

The matrix.

Definition at line 47 of file MatrixPartitionedTyings.h.

◆ m_Apu

Eigen::SparseMatrix<double> GooseFEM::MatrixPartitionedTyings::m_Apu

protected

The matrix.

Definition at line 46 of file MatrixPartitionedTyings.h.

◆ m_Aud

Eigen::SparseMatrix<double> GooseFEM::MatrixPartitionedTyings::m_Aud

protected

The matrix.

Definition at line 48 of file MatrixPartitionedTyings.h.

◆ m_Aup

Eigen::SparseMatrix<double> GooseFEM::MatrixPartitionedTyings::m_Aup

protected

The matrix.

Definition at line 45 of file MatrixPartitionedTyings.h.

◆ m_Auu

Eigen::SparseMatrix<double> GooseFEM::MatrixPartitionedTyings::m_Auu

protected

The matrix.

Definition at line 44 of file MatrixPartitionedTyings.h.

◆ m_Cdp

Eigen::SparseMatrix<double> GooseFEM::MatrixPartitionedTyings::m_Cdp

protected

Tying matrix, see Tyings::Periodic::Cdp().

Definition at line 67 of file MatrixPartitionedTyings.h.

◆ m_Cdu

Eigen::SparseMatrix<double> GooseFEM::MatrixPartitionedTyings::m_Cdu

protected

Tying matrix, see Tyings::Periodic::Cdu().

Definition at line 66 of file MatrixPartitionedTyings.h.

◆ m_Cpd

Eigen::SparseMatrix<double> GooseFEM::MatrixPartitionedTyings::m_Cpd

protected

Transpose of "m_Cdp".

Definition at line 69 of file MatrixPartitionedTyings.h.

◆ m_Cud

Eigen::SparseMatrix<double> GooseFEM::MatrixPartitionedTyings::m_Cud

protected

Transpose of "m_Cdu".

Definition at line 68 of file MatrixPartitionedTyings.h.

◆ m_Tdd

std::vector<Eigen::Triplet<double> > GooseFEM::MatrixPartitionedTyings::m_Tdd

protected

Matrix entries.

Definition at line 65 of file MatrixPartitionedTyings.h.

◆ m_Tdp

std::vector<Eigen::Triplet<double> > GooseFEM::MatrixPartitionedTyings::m_Tdp

protected

Matrix entries.

Definition at line 64 of file MatrixPartitionedTyings.h.

◆ m_Tdu

std::vector<Eigen::Triplet<double> > GooseFEM::MatrixPartitionedTyings::m_Tdu

protected

Matrix entries.

Definition at line 63 of file MatrixPartitionedTyings.h.

◆ m_Tpd

std::vector<Eigen::Triplet<double> > GooseFEM::MatrixPartitionedTyings::m_Tpd

protected

Matrix entries.

Definition at line 62 of file MatrixPartitionedTyings.h.

◆ m_Tpp

std::vector<Eigen::Triplet<double> > GooseFEM::MatrixPartitionedTyings::m_Tpp

protected

Matrix entries.

Definition at line 60 of file MatrixPartitionedTyings.h.

◆ m_Tpu

std::vector<Eigen::Triplet<double> > GooseFEM::MatrixPartitionedTyings::m_Tpu

protected

Matrix entries.

Definition at line 59 of file MatrixPartitionedTyings.h.

◆ m_Tud

std::vector<Eigen::Triplet<double> > GooseFEM::MatrixPartitionedTyings::m_Tud

protected

Matrix entries.

Definition at line 61 of file MatrixPartitionedTyings.h.

◆ m_Tup

std::vector<Eigen::Triplet<double> > GooseFEM::MatrixPartitionedTyings::m_Tup

protected

Matrix entries.

Definition at line 58 of file MatrixPartitionedTyings.h.

◆ m_Tuu

std::vector<Eigen::Triplet<double> > GooseFEM::MatrixPartitionedTyings::m_Tuu

protected

Matrix entries.

Definition at line 57 of file MatrixPartitionedTyings.h.

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

GooseFEM/MatrixPartitionedTyings.h

Public Member Functions

Protected Attributes

Friends

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

◆ MatrixPartitionedTyings()

Member Function Documentation

◆ data_dd()

◆ data_dp()

◆ data_du()

◆ data_pd()

◆ data_pp()

◆ data_pu()

◆ data_ud()

◆ data_up()

◆ data_uu()

Friends And Related Symbol Documentation

◆ MatrixPartitionedTyingsSolver

Member Data Documentation

◆ m_ACpp

◆ m_ACpu

◆ m_ACup

◆ m_ACuu

◆ m_Add

◆ m_Adp

◆ m_Adu

◆ m_Apd

◆ m_App

◆ m_Apu

◆ m_Aud

◆ m_Aup

◆ m_Auu

◆ m_Cdp

◆ m_Cdu

◆ m_Cpd

◆ m_Cud

◆ m_Tdd

◆ m_Tdp

◆ m_Tdu

◆ m_Tpd

◆ m_Tpp

◆ m_Tpu

◆ m_Tud

◆ m_Tup

◆ m_Tuu