Finite Element Analysis of Acoustic Scattering

ISBN-13: 9781475771862 / Angielski / Miękka / 2013 / 226 str.

Frank Ihlenburg

Opis

Als ub ] erragende Gestalt ...tritt unsHelmholtz entgegen ...Seine ausserordentliche Stellung in der Geschichte der Naturwissensch- ten beruht auf einer ungew] ohnlich vielseitigen, eindringenden Be- bung, innerhalb deren die mathematische Seite eine wichtige, fur ] uns naturlic ] h in erster Linie in Betracht kommende Rolle spielt. (Felix 1 Klein, 84, p. 223]) Waves are interesting physical phenomena with important practical app- cations. Physicists and engineers are interested in the reliable simulation of processes in which waves are scattered from obstacles (scattering pr- lems). This book deals with some of the mathematical issues arising in the computational simulation of wave propagation and ?uid structure inter- tion. The linear mathematical models for wave propagation and scattering are well-known. Assuming time-harmonic behavior, one deals with the Helm- 2 holtz equation ? u + k u = 0, where the wave number k is a physical parameter. Our interest will be mainly in the numerical solution of ex- rior boundary value problems for the Helmholtz equation which we call Helmholtz problems for short."

Spis treści

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.