Overview
Only book summarizing FEM and BEM (and optimization) for acoustics
The chapters discuss fundamental issues of the methods
Methods will be presented for engineers, even if they are described by mathematicians
Includes supplementary material: sn.pub/extras
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Table of contents (21 chapters)
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Front Matter
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A Unified Approach to Finite and Boundary Element Discretization in Linear Time–Harmonic Acoustics
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FEM: External Problems
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Front Matter
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FEM: Related Problems
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Front Matter
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Keywords
About this book
Among numerical methods applied in acoustics, the Finite Element Method (FEM) is normally favored for interior problems whereas the Boundary Element Method (BEM) is quite popular for exterior ones.
That is why this valuable reference provides a complete survey of methods for computational acoustics, namely FEM and BEM. It demonstrates that both methods can be effectively used in the complementary cases.
The chapters by well-known authors are evenly balanced: 10 chapters on FEM and 10 on BEM. An initial conceptual chapter describes the derivation of the wave equation and supplies a unified approach to FEM and BEM for the harmonic case. A categorization of the remaining chapters and a personal outlook complete this introduction. In what follows, both FEM and BEM are discussed in the context of very different problems.
Firstly, this comprises numerical issues, e.g. convergence, multi-frequency solutions and highly efficient methods; and secondly, solutions techniques for the particular difficulties that arise with external problems, e.g. discussion of absorbing boundaries for FEM and treatment of the non-uniqueness problem for BEM. Finally, both parts on FEM and on BEM are completed by chapters on related problems, e.g. formulations for fluid-structure interaction. In addition to time-harmonic problems, transient problems are considered in some chapters. Many theoretical and industrial applications are presented.
Overall, this book is a unified review of the state-of-the-art on FEM and BEM for computational acoustics.
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Editors and Affiliations
Bibliographic Information
Book Title: Computational Acoustics of Noise Propagation in Fluids - Finite and Boundary Element Methods
Editors: Steffen Marburg, Bodo Nolte
DOI: https://doi.org/10.1007/978-3-540-77448-8
Publisher: Springer Berlin, Heidelberg
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2008
Hardcover ISBN: 978-3-540-77447-1Published: 03 March 2008
Softcover ISBN: 978-3-642-09608-2Published: 10 November 2010
eBook ISBN: 978-3-540-77448-8Published: 27 February 2008
Edition Number: 1
Number of Pages: XIII, 578
Topics: Acoustics, Computational Intelligence, Numerical and Computational Physics, Simulation, Applications of Mathematics