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.
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.
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 |
| Dewey Decimal Classification: | 510 Mathematics |
| Language: | English |
| Date: | 1995 |
| Deposited On: | 29 Nov 2010 16:28 |
| Last Modified: | 24 Sep 2019 16:18 |
| Publisher: | Elsevier |
| ISSN: | 0045-7825 |
| OA Status: | Closed |
| 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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Babuska, I