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Autor: Fabian M. E. Duddeck
ISBN-13: 9783540431381
Einband: Book
Seiten: 182
Gewicht: 424 g
Format: 241x159x17 mm
Sprache: Englisch

Fourier BEM

5, Lecture Notes in Applied and Computational Mechanics
Generalization of Boundary Element Methods by Fourier Transform
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Concise and clear derivation of the traditional Galerkin-BEM approachLarge range of applications from solid mechanics
New generalization of BEM
Better theoretical insight
1 Introduction.- 2. Traditional BEM.- 3 Distributional BEM.- 4 Fourier BEM.- 5 Heat Conduction.- 6 Elasticity.- 7 Plates.- 8 Waves.- 9 Thermoelasticity.- 10 Non-linearity.- 11 Wavelets.- 12 Conclusions.- A Glossary.- A.1 Distribution theory.- A.2 Boundary Element Method.- B Special Distributions.- C Integration of BEM matrices.- C.1 Analytical integrations.- C.1.1 Singular integrals by Fourier transform.- C.1.2 Additional regular Fourier pairs.- C.1.3 Additional singular Fourier pairs.- C.2 Numerical integrations.
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 in 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 may serve as a comprehensive text book linking applied mathematics to real world engineering problems.

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Autor: Fabian M. E. Duddeck
ISBN-13 :: 9783540431381
ISBN: 3540431381
Erscheinungsjahr: 07.08.2002
Verlag: Springer-Verlag GmbH
Gewicht: 424g
Seiten: 182
Sprache: Englisch
Auflage 02000, 2002
Sonstiges: Buch, 241x159x17 mm, 39 schwarz-weiße Abbildungen, Bibliographie