Affiliation:
1. Department of Mathematics, Chalmers University of Technology, SE-412 96 Gothenburg, Sweden
Abstract
This work is devoted to review infinite element discretizations for the Helmholtz equation in exterior domains, which have become popular in recent years, as many research papers on this topic have appeared in the literature. The early contributions were mostly motivated by engineering considerations and the variational formulations have, in general, not been stated in a mathematically precise way. Only recently, theoretical aspects of the infinite element methodology have been analyzed and helped to put the different formulations into a mathematical framework. We build upon this, and present and compare the infinite element formulations within this context.
Publisher
World Scientific Pub Co Pte Lt
Subject
Applied Mathematics,Acoustics and Ultrasonics
Cited by
58 articles.
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