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A generalized finite element method for solving the Helmholtz equation in two dimensions with minimal pollution


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.

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.

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.

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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Language:English
Date:1995
Deposited On:29 Nov 2010 16:28
Last Modified:06 Dec 2017 21:05
Publisher:Elsevier
ISSN:0045-7825
Publisher DOI:https://doi.org/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

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