CRTP base class for a partitioned matrix. More...

#include <GooseFEM/Matrix.h>

Inheritance diagram for GooseFEM::MatrixPartitionedBase< D >:

Public Types
using	derived_type = D
	Underlying type.

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

Public Member Functions
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
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

template<class D>
class GooseFEM::MatrixPartitionedBase< D >

CRTP base class for a partitioned matrix.

Definition at line 416 of file Matrix.h.

Member Typedef Documentation

◆ derived_type

template<class D >

using GooseFEM::MatrixPartitionedBase< D >::derived_type = D

Underlying type.

Definition at line 428 of file Matrix.h.

Member Function Documentation

◆ iip()

template<class D >

const array_type::tensor< size_t, 1 > & GooseFEM::MatrixPartitionedBase< D >::iip ( ) const

inline

Prescribed DOFs.

Returns: [nnp].

Definition at line 473 of file Matrix.h.

◆ iiu()

template<class D >

const array_type::tensor< size_t, 1 > & GooseFEM::MatrixPartitionedBase< D >::iiu ( ) const

inline

Unknown DOFs.

Returns: [nnu].

Definition at line 464 of file Matrix.h.

◆ nnp()

template<class D >

size_t GooseFEM::MatrixPartitionedBase< D >::nnp ( ) const

inline

Number of prescribed DOFs.

Returns: Unsigned integer.

Definition at line 455 of file Matrix.h.

◆ nnu()

template<class D >

size_t GooseFEM::MatrixPartitionedBase< D >::nnu ( ) const

inline

Number of unknown DOFs.

Returns: Unsigned integer.

Definition at line 446 of file Matrix.h.

◆ reaction() [1/2]

template<class D >

void GooseFEM::MatrixPartitionedBase< D >::reaction	(	const array_type::tensor< double, 1 > &	x,
		array_type::tensor< double, 1 > &	b ) const

inline

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

Parameters

x	"dofval" [ndof].
b	"dofval" [ndof], \( b_p \) overwritten.

Definition at line 538 of file Matrix.h.

◆ Reaction() [1/2]

template<class D >

array_type::tensor< double, 1 > GooseFEM::MatrixPartitionedBase< D >::Reaction	(	const array_type::tensor< double, 1 > &	x,
		const array_type::tensor< double, 1 > &	b ) const

inline

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

Parameters

x	"dofval" [ndof].
b	"dofval" [ndof].

Returns: Copy of b with \( b_p \) overwritten.

Definition at line 508 of file Matrix.h.

◆ reaction() [2/2]

template<class D >

void GooseFEM::MatrixPartitionedBase< D >::reaction	(	const array_type::tensor< double, 2 > &	x,
		array_type::tensor< double, 2 > &	b ) const

inline

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

Parameters

x	"nodevec" [nnode, ndim].
b	"nodevec" [nnode, ndim], \( b_p \) overwritten.

Definition at line 524 of file Matrix.h.

◆ Reaction() [2/2]

template<class D >

array_type::tensor< double, 2 > GooseFEM::MatrixPartitionedBase< D >::Reaction	(	const array_type::tensor< double, 2 > &	x,
		const array_type::tensor< double, 2 > &	b ) const

inline

Right-hand-size for corresponding to the prescribed DOFs:

\( b_p = A_{pu} * x_u + A_{pp} * x_p \)

and assemble them to the appropriate places in "nodevec".

Parameters

x	"nodevec" [nnode, ndim].
b	"nodevec" [nnode, ndim].

Returns: Copy of b with \( b_p \) overwritten.

Definition at line 490 of file Matrix.h.

◆ Reaction_p()

template<class D >

array_type::tensor< double, 1 > GooseFEM::MatrixPartitionedBase< D >::Reaction_p	(	const array_type::tensor< double, 1 > &	x_u,
		const array_type::tensor< double, 1 > &	x_p ) const

inline

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

Parameters

x_u	unknown "dofval" [nnu].
x_p	prescribed "dofval" [nnp].

Returns: b_p prescribed "dofval" [nnp].

Definition at line 553 of file Matrix.h.

◆ reaction_p()

template<class D >

void GooseFEM::MatrixPartitionedBase< D >::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

inline

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

Parameters

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

Definition at line 571 of file Matrix.h.

Member Data Documentation

◆ m_iip

template<class D >

array_type::tensor<size_t, 1> GooseFEM::MatrixPartitionedBase< D >::m_iip

protected

See iip()

Definition at line 419 of file Matrix.h.

◆ m_iiu

template<class D >

array_type::tensor<size_t, 1> GooseFEM::MatrixPartitionedBase< D >::m_iiu

protected

See iiu()

Definition at line 418 of file Matrix.h.

◆ m_nnp

template<class D >

size_t GooseFEM::MatrixPartitionedBase< D >::m_nnp

protected

See nnp.

Definition at line 422 of file Matrix.h.

◆ m_nnu

template<class D >

size_t GooseFEM::MatrixPartitionedBase< D >::m_nnu

protected

See nnu.

Definition at line 421 of file Matrix.h.

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

GooseFEM/Matrix.h

Public Types

Public Member Functions

Protected Attributes

Detailed Description

Member Typedef Documentation

◆ derived_type

Member Function Documentation

◆ iip()

◆ iiu()

◆ nnp()

◆ nnu()

◆ reaction() [1/2]

◆ Reaction() [1/2]

◆ reaction() [2/2]

◆ Reaction() [2/2]

◆ Reaction_p()

◆ reaction_p()

Member Data Documentation

◆ m_iip

◆ m_iiu

◆ m_nnp

◆ m_nnu