Lecture Notes in Applied and Computational Mechanics

Fourier BEM

Generalization of Boundary Element Methods by Fourier Transform

Authors: Duddeck, Fabian M.E.

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About this book

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.

Reviews

"In this reviewer’s opinion, the contents of this book, which gathers in a systematic concise fashion several original results due to its author, represents a major contribution to the developments of BEMs and to the literature on them… an elegant and potentially fruitful combination of mathematics and computational mechanics."

Appl Mech Rev


Table of contents (12 chapters)

Buy this book

eBook $149.00
price for USA (gross)
  • ISBN 978-3-540-45626-1
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $189.00
price for USA
  • ISBN 978-3-540-43138-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $189.00
price for USA
  • ISBN 978-3-642-07727-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Fourier BEM
Book Subtitle
Generalization of Boundary Element Methods by Fourier Transform
Authors
Series Title
Lecture Notes in Applied and Computational Mechanics
Series Volume
5
Copyright
2002
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-45626-1
DOI
10.1007/978-3-540-45626-1
Hardcover ISBN
978-3-540-43138-1
Softcover ISBN
978-3-642-07727-2
Series ISSN
1613-7736
Edition Number
1
Number of Pages
II, 182
Topics