Year: 2011
International Journal of Numerical Analysis and Modeling, Vol. 8 (2011), Iss. 3 : pp. 365–372
Abstract
In this paper we apply and discuss a multilevel method to solve a scattering problem. The multilevel method belongs to the class of incremental unknowns method as in [10]; in this work, the best performance was obtained with a coarsest grid having roughly two points per linear wavelength. We analyze this method for a simple model problem following H. Yserentant [17]. In this case, the main limitation to multilevel methods is closely linked to the indefiniteness of the Helmholtz problem.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2011-IJNAM-690
International Journal of Numerical Analysis and Modeling, Vol. 8 (2011), Iss. 3 : pp. 365–372
Published online: 2011-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 8
Keywords: hierarchical basis indefinite problem Helmholtz equation iterative methods.