Fourier BEM: Generalization of Boundary Element Methods by Fourier Transform

✍ Scribed by Dr.-Ing. Fabian M. E. Duddeck (auth.)

• Publisher: Springer-Verlag Berlin Heidelberg
• Year: 2002
• Tongue: English
• Leaves: 177
• Series: Lecture Notes in Applied Mechanics 5
• Edition: 1
• Category: Library

✦ Synopsis

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. Nevertheless, they still demand an explicit expression of a fundamental solution, which is only known in simple cases. Therefore, 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.

✦ Table of Contents

Front Matter....Pages i-7
Introduction....Pages 9-13
Traditional BEM....Pages 15-24
Distributional BEM....Pages 25-34
Fourier BEM....Pages 35-44
Heat Conduction....Pages 45-61
Elasticity....Pages 63-72
Plates....Pages 73-94
Waves....Pages 95-108
Thermoelasticity....Pages 109-114
Non-linearity....Pages 115-123
Wavelets....Pages 125-137
Conclusions....Pages 139-140
Back Matter....Pages 141-181

✦ Subjects

Theoretical and Applied Mechanics; Computational Intelligence; Numerical Analysis; Simulation and Modeling