Fourier BEM

Generalization of Boundary Element Methods by Fourier Transform

Fabian M.E. Duddeck

182 pages, parution le 05/09/2002

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Résumé

Like FEM, the Boundary Element Method (BEM) provides a general numerical tool for the solution of complex engineering problems. In the last decades, the range of its applications has remarkably been enlarged. Therefore dynamic and nonlinear problems can be tackled. However they still demand an explicit expression of a fundamental solution, which is only known in simple cases. In this respect, the present book proposes an alternative BEM-formulation based on the Fourier transform, which can be applied to almost all cases relevant in engineering mechanics. The basic principle is presented for the heat equation. Applications are taken from solid mechanics (e.g. poroelasticity, thermoelasticity). Transient and stationary examples are given as well as linear and nonlinear. Completed with a mathematical and mechanical glossary, the book will serve as a comprehensive text book linking applied mathematics to real world engineering problems.

Contents

Introduction
Traditional BEM
Distributional BEM
Fourier BEM
Heat Conduction
Elasticity
Plates
Waves
Thermoelasticity
Non-linearity
Wavelets
Conclusions
Glossary
Special Distributions
Integration of BEM matrices.

L'auteur - Fabian M.E. Duddeck

Duddeck, F.M.E., Technische Universität München, Germany

Caractéristiques techniques

	PAPIER
Éditeur(s)	Springer
Auteur(s)	Fabian M.E. Duddeck
Parution	05/09/2002
Nb. de pages	182
Format	16 x 24
Couverture	Broché
Poids	520g
Intérieur	Noir et Blanc
EAN13	9783540431381