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Babuska, I; Ihlenburg, F; Paik, E; Sauter, S (1995). A generalized finite element method for solving the Helmholtz equation in two dimensions with minimal pollution. Computer Methods in Applied Mechanics and Engineering, 128(3-4):325-359.

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Abstract

When using the Galerkin FEM for solving the Helmholtz equation in two dimensions, the error of the corresponding solution differs substantially from the error of the best approximation, and this effect increases with higher wave number k.
In this paper we will design a Generalized Finite Element Method (GFEM) for the Helmholtz equation such that the pollution effect is minimal.

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
DDC:510 Mathematics
Language:English
Date:1995
Deposited On:29 Nov 2010 16:28
Last Modified:28 Nov 2013 00:39
Publisher:Elsevier
ISSN:0045-7825
Publisher DOI:10.1016/0045-7825(95)00890-X
Related URLs:http://www.ams.org/mathscinet-getitem?mr=1368049
http://www.zentralblatt-math.org/zbmath/search/?q=an%3A0863.73055
Citations:Web of Science®. Times Cited: 156
Google Scholar™
Scopus®. Citation Count: 176

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