Finite Element Analysis of Acoustic Scattering

Finite Element Analysis of Acoustic Scattering
Author :
Publisher : Springer Science & Business Media
Total Pages : 226
Release :
ISBN-10 : 9780387227009
ISBN-13 : 0387227008
Rating : 4/5 (008 Downloads)

Book Synopsis Finite Element Analysis of Acoustic Scattering by : Frank Ihlenburg

Download or read book Finite Element Analysis of Acoustic Scattering written by Frank Ihlenburg and published by Springer Science & Business Media. This book was released on 2006-05-02 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: A cognitive journey towards the reliable simulation of scattering problems using finite element methods, with the pre-asymptotic analysis of Galerkin FEM for the Helmholtz equation with moderate and large wave number forming the core of this book. Starting from the basic physical assumptions, the author methodically develops both the strong and weak forms of the governing equations, while the main chapter on finite element analysis is preceded by a systematic treatment of Galerkin methods for indefinite sesquilinear forms. In the final chapter, three dimensional computational simulations are presented and compared with experimental data. The author also includes broad reference material on numerical methods for the Helmholtz equation in unbounded domains, including Dirichlet-to-Neumann methods, absorbing boundary conditions, infinite elements and the perfectly matched layer. A self-contained and easily readable work.


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