Year: 2016
International Journal of Numerical Analysis and Modeling, Vol. 13 (2016), Iss. 5 : pp. 802–819
Abstract
A kind of non-overlapping domain decomposition preconditioner was proposed to solve the systems generated by the plane wave least-squares (PWLS) method for discretization of Helmholtz equation and Maxwell equations respectively in [13] and [14]. In this paper we introduce overlapping variants of this kind of preconditioner and give some comparison among these domain decomposition preconditioners. The main goal of this paper is to implement in parallel these domain decomposition preconditioners for the system with large wave numbers. The numerical results indicate that the preconditioners are highly scalable and are effective for solving Helmholtz equation and Maxwell's equations with large wave numbers.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2016-IJNAM-466
International Journal of Numerical Analysis and Modeling, Vol. 13 (2016), Iss. 5 : pp. 802–819
Published online: 2016-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 18
Keywords: Helmholtz equations Maxwell's equations large wave number variational formulation plane-wave basis preconditioner iteration counts.