Solve \( x_u = A_{uu}^{-1} (b_u - A_{up} * x_p) \) for A of the MatrixPartitioned() class. More...

Inheritance diagram for GooseFEM::MatrixPartitionedSolver< Solver >:

Public Member Functions
template<class M >
array_type::tensor< double, 1 >	Solve_u (M &A, const array_type::tensor< double, 1 > &b_u, const array_type::tensor< double, 1 > &x_p)
	Solve \( x = A^{-1} b \).

template<class M >
void	solve_u (M &A, const array_type::tensor< double, 1 > &b_u, const array_type::tensor< double, 1 > &x_p, array_type::tensor< double, 1 > &x_u)
	Same as Solve \( x = A^{-1} b \).

Detailed Description

template<class Solver = Eigen::SimplicialLDLT<Eigen::SparseMatrix<double>>>
class GooseFEM::MatrixPartitionedSolver< Solver >

Solve \( x_u = A_{uu}^{-1} (b_u - A_{up} * x_p) \) for A of the MatrixPartitioned() class.

You can solve for multiple right-hand-sides using one factorisation.

For "nodevec" input x is used to read \( x_p \), while \( x_u \) is written. See MatrixPartitioned::Reaction() to get \( b_p \).

Definition at line 526 of file MatrixPartitioned.h.

Member Function Documentation

template<class Solver = Eigen::SimplicialLDLT<Eigen::SparseMatrix<double>>>

template<class M >

array_type::tensor< double, 1 > GooseFEM::MatrixPartitionedSolver< Solver >::Solve_u	(	M &	A,
		const array_type::tensor< double, 1 > &	b_u,
		const array_type::tensor< double, 1 > &	x_p )

inline

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

Parameters

A	GooseFEM (sparse) matrix, see e.g. GooseFEM::MatrixPartitioned().
b_u	unknown dofval [nnu].
x_p	prescribed dofval [nnp]

Definition at line 545 of file MatrixPartitioned.h.

template<class Solver = Eigen::SimplicialLDLT<Eigen::SparseMatrix<double>>>

template<class M >

void GooseFEM::MatrixPartitionedSolver< Solver >::solve_u	(	M &	A,
		const array_type::tensor< double, 1 > &	b_u,
		const array_type::tensor< double, 1 > &	x_p,
		array_type::tensor< double, 1 > &	x_u )

inline

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

Parameters

A	GooseFEM (sparse) matrix, see e.g. GooseFEM::MatrixPartitioned().
b_u	unknown dofval [nnu].
x_p	prescribed dofval [nnp]
x_u	(overwritten) unknown dofval [nnu].

Definition at line 568 of file MatrixPartitioned.h.

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