MathTL::EllipticBVP< DIM > Class Template Reference

#include <bvp.h>

Inheritance diagram for MathTL::EllipticBVP< DIM >:

List of all members.

Public Member Functions
	EllipticBVP (const Function< DIM > *a, const Function< DIM > *q, const Function< DIM > *f)
virtual	~EllipticBVP ()
virtual const double	a (const Point< DIM > &x) const
virtual const double	q (const Point< DIM > &x) const
virtual const bool	constant_coefficients () const =0
virtual const double	f (const Point< DIM > &x) const
void	set_f (const Function< DIM > *f)
Protected Attributes
const Function< DIM > *	a_
	diffusion coefficient
const Function< DIM > *	q_
	reaction coefficient
const Function< DIM > *	f_
	right-hand side

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Detailed Description

template<unsigned int DIM>
class MathTL::EllipticBVP< DIM >

Base class for a symmetric, second-order elliptic boundary value problem in divergence form over some domain Omega in R^d with boundary Gamma=dOmega

-div(a(x)grad u(x)) + q(x)u(x) = f(x) in Omega

with some boundary conditions (Dirichlet, Neumann, Robin). However, we only specify the parameters a, q and f in this class and postpone the boundary condition treatment to the discretization process. It will be implicitly assumed that the wavelet bases or frames used in a wavelet-Galerkin scheme fulfill the appropriate boundary conditions.

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Constructor & Destructor Documentation

template<unsigned int DIM>

MathTL::EllipticBVP< DIM >::EllipticBVP	(	const Function< DIM > *	a,
		const Function< DIM > *	q,
		const Function< DIM > *	f
	)

constructor with given (scalar) coefficients

template<unsigned int DIM>

virtual MathTL::EllipticBVP< DIM >::~EllipticBVP

(

)

[inline, virtual]

virtual destructor

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Member Function Documentation

template<unsigned int DIM>

virtual const double MathTL::EllipticBVP< DIM >::a

(

const Point< DIM > &

x

)

const [inline, virtual]

diffusion coefficient a

Reimplemented in MathTL::IdentityBVP< DIM >, and MathTL::PoissonBVP< DIM >.

template<unsigned int DIM>

virtual const bool MathTL::EllipticBVP< DIM >::constant_coefficients

(

)

const [pure virtual]

flag to indicate whether all coefficients are constants (speeds up quadrature a bit)

Implemented in MathTL::IdentityBVP< DIM >, and MathTL::PoissonBVP< DIM >.

template<unsigned int DIM>

virtual const double MathTL::EllipticBVP< DIM >::f

(

const Point< DIM > &

x

)

const [inline, virtual]

right-hand side f

template<unsigned int DIM>

virtual const double MathTL::EllipticBVP< DIM >::q

(

const Point< DIM > &

x

)

const [inline, virtual]

reaction coefficient q

Reimplemented in MathTL::IdentityBVP< DIM >, and MathTL::PoissonBVP< DIM >.

template<unsigned int DIM>

void MathTL::EllipticBVP< DIM >::set_f

(

const Function< DIM > *

f

)

set the right-hand side to another function

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

• numerics/bvp.h
• numerics/bvp.cpp