Heat Conduction

Fabian M.E. Duddeck, Siméon Denis Poisson

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

Abstract

We consider first a plane domain Ω which is heated by stationary interior sources f. The temperature at the boundaries is kept to zero. Mathematically, this leads to the Dirichlet problem of the Poisson equation. Due to the lack of singularities and its general simplicity, this Dirichlet problem is best suited to demonstrating the equivalence between traditional BEM and Fourier BEM. Without loss of generality, the isotropic conductivity K is set to one.

Original languageEnglish
Title of host publicationFourier BEM
Subtitle of host publicationGeneralization of Boundary Element Methods by Fourier Transform
EditorsFabian M. E. Duddeck
Pages45-61
Number of pages17
StatePublished - 2002

Publication series

NameLecture Notes in Applied and Computational Mechanics
Volume5
ISSN (Print)1613-7736

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