BisectInterpolation Class Reference

‍** More...

#include <getmatrix.h>

Inheritance diagram for BisectInterpolation:

Public Member Functions
	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
	‍**
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
std::vector< double > const &	GetDiag () const

Protected Attributes
std::vector< int >	_iv
	fathers[nnode][2] of fine grid nodes, double entries denote injection points
std::vector< double >	_vv
	weights[nnode][2] of fathers for grid nodes
Protected Attributes inherited from Matrix
int	_nrows
	number of rows in matrix
int	_ncols
	number of columns in matrix
std::vector< double >	_dd
	diagonal matrix elements

Friends
void	DefectRestrict (CRS_Matrix const &SK, BisectInterpolation const &P, std::vector< double > &fc, std::vector< double > &ff, std::vector< double > &uf)

Detailed Description

‍**

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

All interpolation weights are 0.5 (injection points contribute twice).

Definition at line 374 of file getmatrix.h.

Constructor & Destructor Documentation

BisectInterpolation() [1/3]

BisectInterpolation::BisectInterpolation ( std::vector< int > const &  fathers )

explicit

Generates the interpolation matrix for prolongation coarse mesh to a fine mesh generated by bisecting edges. The interpolation weights are all 0.5.

Parameters

[in]

fathers

vector[nnodes][2] containing the two coarse grid fathers of a fine grid vertex

Definition at line 540 of file getmatrix.cpp.

BisectInterpolation() [2/3]

BisectInterpolation::BisectInterpolation

(

)

Definition at line 535 of file getmatrix.cpp.

BisectInterpolation() [3/3]

BisectInterpolation::BisectInterpolation ( BisectInterpolation const &  )

default

~BisectInterpolation()

BisectInterpolation::~BisectInterpolation ( )

override

Destructor.

Definition at line 546 of file getmatrix.cpp.

Member Function Documentation

Debug()

void BisectInterpolation::Debug ( ) const

overridevirtual

Show the matrix entries.

Implements Matrix.

Definition at line 638 of file getmatrix.cpp.

Defect()

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

overridevirtual

Calculates the defect/residuum w := f - P*u.

Parameters

[in,out]	w	resulting vector (preallocated)
[in]	f	load vector
[in]	u	coarse vector

Implements Matrix.

Definition at line 624 of file getmatrix.cpp.

fetch()

int BisectInterpolation::fetch ( int  row, int  col  ) const

overridevirtual

Finds in this matrix the access index for an entry at row row and column col.

Parameters

[in]	row	row index
[in]	col	column index

Returns

index for element (row, col). If no appropriate entry exists then -1 will be returned.

Warning

assert() stops the function in case that matrix element (row, col) doesn't exist.

Implements Matrix.

Definition at line 649 of file getmatrix.cpp.

GetDiag()

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

overridevirtual

Extracts the diagonal elements of the matrix.

Parameters

[in,out]

d

(prellocated) vector of diagonal elements

Implements Matrix.

Definition at line 549 of file getmatrix.cpp.

Mult()

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

overridevirtual

‍**

Performs the prolongation \( w_F := P*u_C \).

Parameters

[in,out]	wf	resulting fine vector (preallocated)
[in]	uc	coarse vector

Implements Matrix.

Definition at line 567 of file getmatrix.cpp.

MultT()

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

Performs the restriction \( u_C := P^T*w_F \).

Parameters

[in]	wf	fine vector
[in,out]	uc	resulting coarse vector (preallocated)

Definition at line 598 of file getmatrix.cpp.

Friends And Related Symbol Documentation

DefectRestrict

void DefectRestrict ( CRS_Matrix const &  SK, BisectInterpolation const &  P, std::vector< double > &  fc, std::vector< double > &  ff, std::vector< double > &  uf  )

friend

Calculates the defect and projects it to the next coarser level \( f_C := P^T \cdot (f_F - SK\cdot u_F) \).

Parameters

[in]	SK	matrix on fine mesh
[in]	P	prolongation operator
[in,out]	fc	resulting coarse mesh vector (preallocated)
[in]	ff	r.h.s. on fine mesh
[in]	uf	status vector on fine mesh

Member Data Documentation

_iv

std::vector<int> BisectInterpolation::_iv

protected

fathers[nnode][2] of fine grid nodes, double entries denote injection points

Definition at line 465 of file getmatrix.h.

_vv

std::vector<double> BisectInterpolation::_vv

protected

weights[nnode][2] of fathers for grid nodes

Definition at line 466 of file getmatrix.h.

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

• getmatrix.h
• getmatrix.cpp