0
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

Abstract

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
Your Session has timed out. Please sign back in to continue.

References

Figures

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In