#include <getmatrix.h>

Inheritance diagram for BisectIntDirichlet:

Public Member Functions
	BisectIntDirichlet ()

	BisectIntDirichlet (std::vector< int > const &fathers, std::vector< int > const &idxc_dir)

	BisectIntDirichlet (BisectIntDirichlet const &)=default

	~BisectIntDirichlet () override

Public Member Functions inherited from BisectInterpolation
	BisectInterpolation (std::vector< int > const &fathers)

	BisectInterpolation ()

	BisectInterpolation (BisectInterpolation const &)=default

	~BisectInterpolation () override

void	GetDiag (std::vector< double > &d) const override

void	Mult (std::vector< double > &wf, std::vector< double > const &uc) const override
	‍** More...

void	MultT (std::vector< double > const &wf, std::vector< double > &uc) const

void	Defect (std::vector< double > &w, std::vector< double > const &f, std::vector< double > const &u) const override

void	Debug () const override

int	fetch (int row, int col) const override

Public Member Functions inherited from Matrix
	Matrix (int nrows, int ncols)

	Matrix (Matrix const &)=default

virtual	~Matrix ()

bool	isSquare () const

int	Nrows () const

int	Ncols () const

const std::vector< double > &	GetDiag () const

Additional Inherited Members
Protected Attributes inherited from BisectInterpolation
std::vector< int >	_iv
	fathers[nnode][2] of fine grid nodes, double entries denote injection points More...

std::vector< double >	_vv
	weights[nnode][2] of fathers for grid nodes More...

Protected Attributes inherited from Matrix
int	_nrows
	number of rows in matrix More...

int	_ncols
	number of columns in matrix More...

std::vector< double >	_dd
	diagonal matrix elements More...

Detailed Description

Interpolation matrix for prolongation from coarse mesh (C)) to a fine mesh (F) generated by bisecting edges.

We take into account that values at Dirichlet nodes have to be preserved, i.e., \( w_F = P \cdot I_D \cdot w_C \) and \( d_C = I_D \cdot P^T \cdot d_F\) with \( I_D \) as \( n_C \times n_C \) diagonal matrix and entries \( I_{D(j,j)} := \left\{{\begin{array}{l@{\qquad}l} 0 & x_{j}\;\; \textrm{is Dirichlet node} \\ 1 & \textrm{else} \end{array}}\right. \)

Interpolation weights are eighter 0.5 or 0.0 in case of coarse Dirichlet nodes (injection points contribute twice), Sets weight to zero iff (at least) one father nodes is a Dirichlet node.

Definition at line 482 of file getmatrix.h.

Constructor & Destructor Documentation

◆ BisectIntDirichlet() [1/3]

BisectIntDirichlet::BisectIntDirichlet ( )

inline

Default constructor.

Definition at line 488 of file getmatrix.h.

◆ BisectIntDirichlet() [2/3]

BisectIntDirichlet::BisectIntDirichlet	(	std::vector< int > const &	fathers,
		std::vector< int > const &	idxc_dir
	)

Constructs interpolation from father-row and column col.

Parameters

[in]	fathers	two father nodes from each fine node [nnode_f*2].
[in]	idxc_dir	vector containing the indices of coarse mesh Dirichlet nodes.

Definition at line 660 of file getmatrix.cpp.

◆ BisectIntDirichlet() [3/3]

BisectIntDirichlet::BisectIntDirichlet ( BisectIntDirichlet const & )

default

◆ ~BisectIntDirichlet()

BisectIntDirichlet::~BisectIntDirichlet ( )

override

Destructor.

Definition at line 677 of file getmatrix.cpp.

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