Fourier BEM Generalization of Boundary Element Methods by Fourier Transform /

• Main Author: Duddeck, Fabian M.E (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2002.
• Edition: 1st ed. 2002.
• Series: Lecture Notes in Applied and Computational Mechanics, 5
• Subjects: Mathematical analysis.; Analysis (Mathematics).; Fourier analysis.; Mechanics.; Mechanics, Applied.; Computational intelligence.; Numerical analysis.; Computer simulation.; Analysis.; Fourier Analysis.; Theoretical and Applied Mechanics.; Computational Intelligence.; Numerical Analysis.; Simulation and Modeling.

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...

Table of Contents:

• 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.