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Titlebook: Computational Acoustics of Noise Propagation in Fluids - Finite and Boundary Element Methods; Steffen Marburg,Bodo Nolte Book 2008 Springe

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书目名称Computational Acoustics of Noise Propagation in Fluids - Finite and Boundary Element Methods
编辑Steffen Marburg,Bodo Nolte
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概述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 mathema
图书封面Titlebook: Computational Acoustics of Noise Propagation in Fluids - Finite and Boundary Element Methods;  Steffen Marburg,Bodo Nolte Book 2008 Springe
描述.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 co
出版日期Book 2008
关键词Acoustics; Burton-Miller method; CHIEF; Collocation method; Discretization method; Galerkin me; absorbing
版次1
doihttps://doi.org/10.1007/978-3-540-77448-8
isbn_softcover978-3-642-09608-2
isbn_ebook978-3-540-77448-8
copyrightSpringer-Verlag Berlin Heidelberg 2008
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The Pigeonhole and Multiplicity Boundsroximation that is most appropriate for high frequency analysis where traditional finite element approaches become expensive. Subsystems are coupled together using net energy flow and energy superposition principles.
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Infinite Elementsion. In this chapter infinite elements are introduced with reference to a simple one–dimensional formulation and then extended to two and three dimensions. The application of the method to transient problems is also touched upon.
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https://doi.org/10.1007/978-1-4613-2868-1–fields in finite and boundary element methods are discussed. In the final part of this chapter, the authors categorize the subsequent twenty chapters of this book. The chapter will be completed by an outlook and some open problems in the development of finite and boundary element techniques from the authors’ points of view.
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A Unified Approach to Finite and Boundary Element Discretization in Linear Time–Harmonic Acoustics–fields in finite and boundary element methods are discussed. In the final part of this chapter, the authors categorize the subsequent twenty chapters of this book. The chapter will be completed by an outlook and some open problems in the development of finite and boundary element techniques from the authors’ points of view.
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