concepts::LocalDtNmapFeng2D Class Reference

Class that allows to apply the local DtN Boundary Conditions of Feng for the Helmholtz equation for order 1-5. More...

#include <localDtNmap2D.hh>

Public Member Functions
void	addlocalDtNmapFeng2D (double R, double k, int N, double h, int p, Matrix< Cmplx > &dest, concepts::Vector< Cmplx > &destVec, const SpaceOnCells< Real > &spc)
	Adds the local DtN operator of Feng to the destination matrix, evaluates the DtN operator on the incoming wave and adds it to the destination vector. More...
void	addlocalDtNmapFeng2D (double R, double k, int N, double h, int p, Matrix< Cmplx > &dest, const SpaceOnCells< Real > &spc)
	Adds the local DtN operator of Feng to the destination matrix. More...
	LocalDtNmapFeng2D ()
	Constructor. More...
void	setFactor (const concepts::Cmplx factor)
	Changes the factor for the local DtN map. More...
void	setuInc (const concepts::ParsedFormula< Cmplx > &uinc)
	Sets the incoming wave for the ...field formulation. More...
void	setuIncD2 (const concepts::ParsedFormula< Cmplx > &uincD2)
	Sets the second tangential derivative of the incoming wave for the ...field formulation. More...
void	setuIncD4 (const concepts::ParsedFormula< Cmplx > &uincD4)
	Sets the fourth tangential derivative of the incoming wave for the ...field formulation. More...
virtual	~LocalDtNmapFeng2D ()
	Destructor. More...

Protected Attributes
concepts::Cmplx	factor_
	The DtN map is multiplied with the factor before added into the destination matrix. More...
std::unique_ptr< concepts::ParsedFormula< Cmplx > >	uInc_
std::unique_ptr< concepts::ParsedFormula< Cmplx > >	uIncD2_
	The second tangential derivative of the incoming wave. More...
std::unique_ptr< concepts::ParsedFormula< Cmplx > >	uIncD4_
	The second tangential derivative of the incoming wave. More...

Detailed Description

Class that allows to apply the local DtN Boundary Conditions of Feng for the Helmholtz equation for order 1-5.

Definition at line 19 of file localDtNmap2D.hh.

Constructor & Destructor Documentation

LocalDtNmapFeng2D()

concepts::LocalDtNmapFeng2D::LocalDtNmapFeng2D

(

)

Constructor.

~LocalDtNmapFeng2D()

virtual concepts::LocalDtNmapFeng2D::~LocalDtNmapFeng2D ( )

virtual

Destructor.

Member Function Documentation

addlocalDtNmapFeng2D() [1/2]

void concepts::LocalDtNmapFeng2D::addlocalDtNmapFeng2D	(	double	R,
		double	k,
		int	N,
		double	h,
		int	p,
		Matrix< Cmplx > &	dest,
		concepts::Vector< Cmplx > &	destVec,
		const SpaceOnCells< Real > &	spc
	)

Adds the local DtN operator of Feng to the destination matrix, evaluates the DtN operator on the incoming wave and adds it to the destination vector.

Parameters

R	- The radius of the circle on which fengs boundary conditions are applied
k	- The wavenumber of the problem
N	- The number when Fengs expansion should be truncated
h	- The size of the Elements in the Space
dest	- The matrix where the local DtN operator of Feng is written
destVec	- The vector where the evaluation of the local DtN operator of the incoming wave is written.
spc	- The trace space on the outer circle, where fengs boundary conditions are applied

addlocalDtNmapFeng2D() [2/2]

void concepts::LocalDtNmapFeng2D::addlocalDtNmapFeng2D	(	double	R,
		double	k,
		int	N,
		double	h,
		int	p,
		Matrix< Cmplx > &	dest,
		const SpaceOnCells< Real > &	spc
	)

Adds the local DtN operator of Feng to the destination matrix.

Parameters

R	- The radius of the circle on which fengs boundary conditions are applied
k	- The wavenumber of the problem
N	- The number when Fengs expansion should be truncated
h	- The size of the Elements in the Space
dest	- The system matrix without Fengs DtN-operator
spc	- The trace space on the outer circle, where fengs boundary conditions are applied

setFactor()

void concepts::LocalDtNmapFeng2D::setFactor

(

const concepts::Cmplx

factor

)

Changes the factor for the local DtN map.

Parameters

factor

setuInc()

void concepts::LocalDtNmapFeng2D::setuInc

(

const concepts::ParsedFormula< Cmplx > &

uinc

)

Sets the incoming wave for the ...field formulation.

Parameters

uinc	- The incoming wave as ParsedForumla

setuIncD2()

void concepts::LocalDtNmapFeng2D::setuIncD2

(

const concepts::ParsedFormula< Cmplx > &

uincD2

)

Sets the second tangential derivative of the incoming wave for the ...field formulation.

Just required for Fengs boundary condition of order > 1

Parameters

uincD2

- The second tangential derivative of the incoming wave as ParsedForumla

setuIncD4()

void concepts::LocalDtNmapFeng2D::setuIncD4

(

const concepts::ParsedFormula< Cmplx > &

uincD4

)

Sets the fourth tangential derivative of the incoming wave for the ...field formulation.

Just required for Fengs boundary condition of order > 3

Parameters

uincD4

- The fourth tangential derivative of the incoming wave as ParsedForumla

Member Data Documentation

factor_

concepts::Cmplx concepts::LocalDtNmapFeng2D::factor_

protected

The DtN map is multiplied with the factor before added into the destination matrix.

Default value is 1.

Definition at line 97 of file localDtNmap2D.hh.

uInc_

std::unique_ptr<concepts::ParsedFormula<Cmplx> > concepts::LocalDtNmapFeng2D::uInc_

protected

Definition at line 85 of file localDtNmap2D.hh.

uIncD2_

std::unique_ptr<concepts::ParsedFormula<Cmplx> > concepts::LocalDtNmapFeng2D::uIncD2_

protected

The second tangential derivative of the incoming wave.

Definition at line 88 of file localDtNmap2D.hh.

uIncD4_

std::unique_ptr<concepts::ParsedFormula<Cmplx> > concepts::LocalDtNmapFeng2D::uIncD4_

protected

The second tangential derivative of the incoming wave.

Definition at line 91 of file localDtNmap2D.hh.

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

• models/localDtNmap2D.hh