GooseFEM::MatrixDiagonalBase< D > Class Template Reference

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

#include <GooseFEM/MatrixDiagonal.h>

Public Types
using	derived_type = D
	Underlying type.

Public Member Functions
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 \( x = A^{-1} b \).

Detailed Description

template<class D>
class GooseFEM::MatrixDiagonalBase< D >

CRTP base class for a partitioned matrix with tying.

Definition at line 22 of file MatrixDiagonal.h.

Member Typedef Documentation

derived_type

template<class D >

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

Underlying type.

Definition at line 27 of file MatrixDiagonal.h.

Member Function Documentation

Solve() [1/2]

template<class D >

array_type::tensor< double, 1 > GooseFEM::MatrixDiagonalBase< D >::Solve ( const array_type::tensor< double, 1 > & b )

inline

Solve \( x = A^{-1} b \).

For GooseFEM::MatrixDiagonalPartitioned under the hood solved \( x_u = A_{uu}^{-1} (b_u - A_{up} * x_p) \equiv A_{uu}^{-1} b_u \). Use GooseFEM::MatrixDiagonalPartitioned::Reaction() to get reaction forces.

Parameters

b	dofval [ndof].

Returns

x dofval [ndof].

Definition at line 70 of file MatrixDiagonal.h.

solve() [1/2]

template<class D >

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

inline

Solve \( x = A^{-1} b \).

For GooseFEM::MatrixDiagonalPartitioned under the hood solved \( x_u = A_{uu}^{-1} (b_u - A_{up} * x_p) \equiv A_{uu}^{-1} b_u \). Use GooseFEM::MatrixDiagonalPartitioned::Reaction() to get reaction forces.

Parameters

b	nodevec [nelem, ndim].
x	(overwritten) nodevec [nelem, ndim].

Definition at line 102 of file MatrixDiagonal.h.

Solve() [2/2]

template<class D >

array_type::tensor< double, 2 > GooseFEM::MatrixDiagonalBase< D >::Solve ( const array_type::tensor< double, 2 > & b )

inline

Solve \( x = A^{-1} b \).

Note that this does not involve a conversion to DOFs.

In case of GooseFEM::MatrixDiagonalPartitioned under the hood, schematically: \( x_u = A_{uu}^{-1} (b_u - A_{up} * x_p) \equiv A_{uu}^{-1} b_u \) (again, no conversion to DOFs is needed). Use GooseFEM::MatrixDiagonalPartitioned::Reaction() to get reaction forces.

Parameters

b	nodevec [nelem, ndim].

Returns

x nodevec [nelem, ndim].

Definition at line 53 of file MatrixDiagonal.h.

solve() [2/2]

template<class D >

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

inline

Solve \( x = A^{-1} b \).

For GooseFEM::MatrixDiagonalPartitioned under the hood solved \( x_u = A_{uu}^{-1} (b_u - A_{up} * x_p) \equiv A_{uu}^{-1} b_u \). Use GooseFEM::MatrixDiagonalPartitioned::Reaction() to get reaction forces.

Parameters

b	nodevec [nelem, ndim].
x	(overwritten) nodevec [nelem, ndim].

Definition at line 87 of file MatrixDiagonal.h.

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

• GooseFEM/MatrixDiagonal.h