ansatz_function Class Reference

a class of ansatz-functions for approximations with Galerkin-Method More...

#include <ansatz_functions.h>

Inheritance diagram for ansatz_function:

Public Member Functions
fmatvec::SymMat	MatIntWWT ()
fmatvec::SymMat	MatIntWSWST ()
fmatvec::Vec	VecW0 ()
fmatvec::Vec	VecWL ()
fmatvec::Vec	VecIntW ()
fmatvec::Vec	VecW (double xi)
fmatvec::Vec	VecWS (double xi)
int	order ()
int	dim ()
	ansatz_function (int n, double l)
virtual	~ansatz_function ()

Protected Member Functions
virtual double	Intwiwj (int i, int j)=0
virtual double	Intwsiwsj (int i, int j)=0
virtual double	wi0 (int i)=0
virtual double	wiL (int i)=0
virtual double	Intwi (int i)=0
virtual double	wi (int i, double xi)=0
virtual double	wis (int i, double xi)=0

Protected Attributes
int	Ord
int	Dim
double	L

Detailed Description

a class of ansatz-functions for approximations with Galerkin-Method

Date

2009-07-22 check in (Markus Schneider, Thanks to Markus Friedrich)

Constructor & Destructor Documentation

ansatz_function()

ansatz_function::ansatz_function	(	int	n,
		double	l
	)

Constructor

Parameters

n	Order
l	Lenght of the conduction

~ansatz_function()

ansatz_function::~ansatz_function ( )

virtualdefault

Descructor

Member Function Documentation

dim()

int ansatz_function::dim

(

)

Return the dimension of the system

Intwi()

virtual double ansatz_function::Intwi ( int  i )

protectedpure virtual

Returns the value of "int(w[i](x), x=0..L)"

Implemented in ansatz_function_harmonic, ansatz_function_polynom, ansatz_function_BSplineOrd3, and ansatz_function_BSplineOrd4.

Intwiwj()

virtual double ansatz_function::Intwiwj ( int  i, int  j  )

protectedpure virtual

Returns the value of "int(w[i]*w[j],x=0..L)"

Implemented in ansatz_function_harmonic, ansatz_function_polynom, ansatz_function_BSplineOrd3, and ansatz_function_BSplineOrd4.

Intwsiwsj()

virtual double ansatz_function::Intwsiwsj ( int  i, int  j  )

protectedpure virtual

Returns the value of "int(D(w[i])(x)*D(w[j])(x),x=0..L)

Implemented in ansatz_function_harmonic, ansatz_function_polynom, ansatz_function_BSplineOrd3, and ansatz_function_BSplineOrd4.

MatIntWSWST()

SymMat ansatz_function::MatIntWSWST

(

)

Return the matrix of the 1-derive of the basic function

MatIntWWT()

SymMat ansatz_function::MatIntWWT

(

)

Return the matrix of the 0-derive of the basic function

order()

int ansatz_function::order

(

)

Return the order of the system

VecIntW()

Vec ansatz_function::VecIntW

(

)

Return the vector of int(W, x=0..L)

VecW()

Vec ansatz_function::VecW

(

double

xi

)

Returns the value of "w(xi)", 0<=xi<=1

VecW0()

Vec ansatz_function::VecW0

(

)

Return the vector of w(x=0)

VecWL()

Vec ansatz_function::VecWL

(

)

Return the vector of W(x=L)

VecWS()

Vec ansatz_function::VecWS

(

double

xi

)

Returns the value of "D(w)(xi)", 0<=xi<=1

wi()

virtual double ansatz_function::wi ( int  i, double  xi  )

protectedpure virtual

Returns the value of "w[i](xi)", 0<=xi<=1

Implemented in ansatz_function_harmonic, ansatz_function_polynom, ansatz_function_BSplineOrd3, and ansatz_function_BSplineOrd4.

wi0()

virtual double ansatz_function::wi0 ( int  i )

protectedpure virtual

Returns the value of "w[i](x=0)"

Implemented in ansatz_function_harmonic, ansatz_function_polynom, ansatz_function_BSplineOrd3, and ansatz_function_BSplineOrd4.

wiL()

virtual double ansatz_function::wiL ( int  i )

protectedpure virtual

Returns the value of "w[i](x=L)"

Implemented in ansatz_function_harmonic, ansatz_function_polynom, ansatz_function_BSplineOrd3, and ansatz_function_BSplineOrd4.

wis()

virtual double ansatz_function::wis ( int  i, double  xi  )

protectedpure virtual

Returns the value of "D(w[i])(xi)", 0<=xi<=1

Implemented in ansatz_function_harmonic, ansatz_function_polynom, ansatz_function_BSplineOrd3, and ansatz_function_BSplineOrd4.

Member Data Documentation

Dim

int ansatz_function::Dim

protected

Var for the dimensoin of the returned matrix

L

double ansatz_function::L

protected

Var for the lenght of the condunction

Ord

int ansatz_function::Ord

protected

Var for the order of the system

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

• /mbsim-env/mbsim/kernel/mbsim/utils/ansatz_functions.h
• /mbsim-env/mbsim/kernel/mbsim/utils/ansatz_functions.cc