Finite Element Analysis of Acoustic Scattering

Frank Ihlenburg

ISBN 10: 0387983198 / ISBN 13: 9780387983196

Published by Springer New York, Springer US Aug 1998, 1998

About this Item

Neuware -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.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 244 pp. Englisch.

Seller Inventory # 9780387983196

Bibliographic Details

• Title: Finite Element Analysis of Acoustic Scattering
• Publisher: Springer New York, Springer US Aug 1998
• Publication Date: 1998
• Language: English
• ISBN 10: 0387983198
• ISBN 13: 9780387983196
• Binding: Buch
• Condition: Neu

About this title

Synopsis

Wave propagation is studied in all branches of engineering science. The physical effects are used in technical devices such as acoustic sensors, electromagnetic antennas and radars or microwave cookers. This book studies the numerical solution of wave propagations using finite element methods.

Synopsis

This book is a report of a cognitive journey towards the reliable simulation of scattering problems using finite element methods. The pre-asymptotic analysis of Galerkin FEM for the Helmholtz equation with moderate and large wave number forms the core of the book. The topics include a priori and a posteriori error estimation as well as the stabilized methods. The mathematical investigation of model problems is given in close connection with the physical problem of acoustic scattering and fluid-solid interaction. Starting from the basic physical assumptions, the author methodically develops both the strong and weak forms of the governing equations. The main chapter on finite element analysis is preceded by a systematic treatment of Galerkin methods for indefinite sesquilinear forms. The book also contains 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. In the final chapter, three dimensional computational simulations are presented and compared with experimental data.

Students and researchers in mathematics, physics and engineering, as well as scientists and computational engineers working on scattering problems will find this book of interest. The author has produced a self-contained and easily readable work containing numerous illustrations of the theory with numerical examples and computational results.