REVIEW ARTICLES: Structural Acoustics and Fluid-Structure Interaction

Design and Analysis of Finite Element Methods for the Helmholtz Equation in Exterior Domains

[+] Author and Article Information
Isaac Harari, Thomas J. R. Hughes

Division of Applied Mechanics, Stanford University, Stanford, California 94305-4040

Appl. Mech. Rev 43(5S), S366-S373 (May 01, 1990) doi:10.1115/1.3120842 History: Online April 30, 2009


Finite element methods for the reduced wave equation in unbounded domains are presented. A computational problem over a finite domain is formulated by imposing an exact impedance relation at an artificial exterior boundary. Method design is based on a detailed examination of discrete errors in simplified settings, leading to a thorough analytical understanding of method performance. For this purpose, model problems of radiation with inhomogeneous Neumann boundary conditions, including the effects of a moving acoustic medium, are considered for the entire range of propagation and decay. A Galerkin/least-squares method is shown to exhibit superior behavior for this class of problems.

Copyright © 1990 by American Society of Mechanical Engineers
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