Design and analysis of finite element methods for the helmholtz equation in exterior domains

Isaac Harari, Thomas J.R. Hughes

Research output: Contribution to journalArticlepeer-review

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 boimdary. 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.

Original languageEnglish
Pages (from-to)S366-S373
JournalApplied Mechanics Reviews
Volume43
Issue number5
DOIs
StatePublished - May 1990
Externally publishedYes

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