Diagonal and partitioned matrix. More...

#include <GooseFEM/MatrixDiagonalPartitioned.h>

Inheritance diagram for GooseFEM::MatrixDiagonalPartitioned:

Public Member Functions
	MatrixDiagonalPartitioned (const array_type::tensor< size_t, 2 > &conn, const array_type::tensor< size_t, 2 > &dofs, const array_type::tensor< size_t, 1 > &iip)
	Constructor.

void	set (const array_type::tensor< double, 1 > &A)
	Set all (diagonal) matrix components.

array_type::tensor< double, 1 >	data () const
	Assemble to diagonal matrix (involves copies).

const array_type::tensor< double, 1 > &	data_uu () const
	Pointer to data.

const array_type::tensor< double, 1 > &	data_pp () const
	Pointer to data.

array_type::tensor< double, 1 >	Todiagonal () const
	Pointer to data.

array_type::tensor< double, 1 >	Dot_u (const array_type::tensor< double, 1 > &x_u, const array_type::tensor< double, 1 > &x_p) const

void	dot_u (const array_type::tensor< double, 1 > &x_u, const array_type::tensor< double, 1 > &x_p, array_type::tensor< double, 1 > &b_u) const

array_type::tensor< double, 1 >	Dot_p (const array_type::tensor< double, 1 > &x_u, const array_type::tensor< double, 1 > &x_p) const

void	dot_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

array_type::tensor< double, 1 >	Solve_u (const array_type::tensor< double, 1 > &b_u, const array_type::tensor< double, 1 > &x_p)

void	solve_u (const array_type::tensor< double, 1 > &b_u, const array_type::tensor< double, 1 > &x_p, array_type::tensor< double, 1 > &x_u)

Public Member Functions inherited from GooseFEM::MatrixPartitionedBase< MatrixDiagonalPartitioned >
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 \( b_i = A_{ij} x_j \).

Public Member Functions inherited from GooseFEM::MatrixDiagonalBase< MatrixDiagonalPartitioned >
array_type::tensor< double, 2 >	Solve (const array_type::tensor< double, 2 > &b)
	Solve \( x = A^{-1} b \).

array_type::tensor< double, 1 >	Solve (const array_type::tensor< double, 1 > &b)
	Solve \( x = A^{-1} b \).

void	solve (const array_type::tensor< double, 2 > &b, array_type::tensor< double, 2 > &x)
	Solve \( x = A^{-1} b \).

void	solve (const array_type::tensor< double, 1 > &b, array_type::tensor< double, 1 > &x)
	Solve \( x = A^{-1} b \).

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

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

Public Types inherited from GooseFEM::MatrixDiagonalBase< MatrixDiagonalPartitioned >
using	derived_type
	Underlying type.

Protected Attributes inherited from GooseFEM::MatrixPartitionedBase< MatrixDiagonalPartitioned >
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.

Detailed Description

Diagonal and partitioned matrix.

See Vector() for bookkeeping definitions.

Definition at line 25 of file MatrixDiagonalPartitioned.h.

Constructor & Destructor Documentation

◆ MatrixDiagonalPartitioned()

GooseFEM::MatrixDiagonalPartitioned::MatrixDiagonalPartitioned	(	const array_type::tensor< size_t, 2 > &	conn,
		const array_type::tensor< size_t, 2 > &	dofs,
		const array_type::tensor< size_t, 1 > &	iip )

inline

Constructor.

Parameters

conn	connectivity [nelem, nne].
dofs	DOFs per node [nnode, ndim].
iip	prescribed DOFs [nnp].

Definition at line 42 of file MatrixDiagonalPartitioned.h.

Member Function Documentation

◆ data()

array_type::tensor< double, 1 > GooseFEM::MatrixDiagonalPartitioned::data ( ) const

inline

Assemble to diagonal matrix (involves copies).

Returns: [ndof].

Definition at line 142 of file MatrixDiagonalPartitioned.h.

◆ data_pp()

const array_type::tensor< double, 1 > & GooseFEM::MatrixDiagonalPartitioned::data_pp ( ) const

inline

Pointer to data.

Returns: [nnu].

Definition at line 172 of file MatrixDiagonalPartitioned.h.

◆ data_uu()

const array_type::tensor< double, 1 > & GooseFEM::MatrixDiagonalPartitioned::data_uu ( ) const

inline

Pointer to data.

Returns: [nnu].

Definition at line 163 of file MatrixDiagonalPartitioned.h.

◆ Dot_p()

array_type::tensor< double, 1 > GooseFEM::MatrixDiagonalPartitioned::Dot_p	(	const array_type::tensor< double, 1 > &	x_u,
		const array_type::tensor< double, 1 > &	x_p ) const

inline

Todo: Decide if this function should be kept.

Parameters

x_u	dofval [nnu].
x_p	dofval [nnp].

Returns: b_p dofval [nnp].

Definition at line 273 of file MatrixDiagonalPartitioned.h.

◆ dot_p()

void GooseFEM::MatrixDiagonalPartitioned::dot_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

inline

Todo: Decide if this function should be kept.

Parameters

x_u	dofval [nnu].
x_p	dofval [nnp].
b_p	(overwritten) dofval [nnp].

Definition at line 286 of file MatrixDiagonalPartitioned.h.

◆ Dot_u()

array_type::tensor< double, 1 > GooseFEM::MatrixDiagonalPartitioned::Dot_u	(	const array_type::tensor< double, 1 > &	x_u,
		const array_type::tensor< double, 1 > &	x_p ) const

inline

Todo: Decide if this function should be kept.

Parameters

x_u	dofval [nnu].
x_p	dofval [nnp].

Returns: b_u dofval [nnu].

Definition at line 235 of file MatrixDiagonalPartitioned.h.

◆ dot_u()

void GooseFEM::MatrixDiagonalPartitioned::dot_u	(	const array_type::tensor< double, 1 > &	x_u,
		const array_type::tensor< double, 1 > &	x_p,
		array_type::tensor< double, 1 > &	b_u ) const

inline

Todo: Decide if this function should be kept.

Parameters

x_u	dofval [nnu].
x_p	dofval [nnp].
b_u	(overwritten) dofval [nnu].

Definition at line 248 of file MatrixDiagonalPartitioned.h.

◆ set()

void GooseFEM::MatrixDiagonalPartitioned::set ( const array_type::tensor< double, 1 > & A )

inline

Set all (diagonal) matrix components.

Parameters

A	The matrix [ndof].

Definition at line 121 of file MatrixDiagonalPartitioned.h.

◆ Solve_u()

array_type::tensor< double, 1 > GooseFEM::MatrixDiagonalPartitioned::Solve_u	(	const array_type::tensor< double, 1 > &	b_u,
		const array_type::tensor< double, 1 > &	x_p )

inline

Parameters

b_u	dofval [nnu].
x_p	dofval [nnp].

Returns: x_u dofval [nnu].

Definition at line 344 of file MatrixDiagonalPartitioned.h.

◆ solve_u()

void GooseFEM::MatrixDiagonalPartitioned::solve_u	(	const array_type::tensor< double, 1 > &	b_u,
		const array_type::tensor< double, 1 > &	x_p,
		array_type::tensor< double, 1 > &	x_u )

inline

Parameters

b_u	dofval [nnu].
x_p	dofval [nnp].
x_u	(overwritten) dofval [nnu].

Definition at line 356 of file MatrixDiagonalPartitioned.h.

◆ Todiagonal()

array_type::tensor< double, 1 > GooseFEM::MatrixDiagonalPartitioned::Todiagonal ( ) const

inline

Pointer to data.

Returns: [nnu].

Definition at line 182 of file MatrixDiagonalPartitioned.h.

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

GooseFEM/MatrixDiagonalPartitioned.h

Public Member Functions

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

◆ MatrixDiagonalPartitioned()

Member Function Documentation

◆ data()

◆ data_pp()

◆ data_uu()

◆ Dot_p()

◆ dot_p()

◆ Dot_u()

◆ dot_u()

◆ set()

◆ Solve_u()

◆ solve_u()

◆ Todiagonal()