Finite Element Analysis of Acoustic Scattering

by Frank Ihlenburg

Overview

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.

Product Details

ISBN-13:	9781475771862
Publisher:	Springer New York
Publication date:	03/08/2013
Series:	Applied Mathematical Sciences , #132
Edition description:	Softcover reprint of the original 1st ed. 1998
Pages:	226
Product dimensions:	6.10(w) x 9.25(h) x 0.02(d)

Table of Contents

The Governing Equations of Time-Harmonic Wave Propagation.- Analytical and Variational Solutions of Helmholtz Problems.- Discretization Methods for Exterior Helmholtz Problems.- Finite Element Error Analysis and Control for Helmholtz Problems.- Computational Simulation of Elastic Scattering.