Three-dimensional discontinuous Galerkin elements with plane waves and Lagrange multipliers for the solution of mid-frequency Helmholtz problems

被引：71
|
作者：
Tezaur, R
Farhat, C
机构：
[1] Stanford Univ, Dept Mech Engn, Stanford, CA 94305 USA
[2] Stanford Univ, Inst Computat Math Engn, Stanford, CA 94305 USA
来源：
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING | 2006年 / 66卷 / 05期
关键词：
acoustic scattering; discontinuous Galerkin; Helmholtz; Lagrange multipliers; medium; frequency; plane waves;
D O I：
10.1002/nme.1575
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
Recently, a discontinuous Galerkin finite element method with plane wave basis functions and Lagrange multiplier degrees of freedom was proposed for the efficient solution in two dimensions of Helmholtz problems in the mid-frequency regime. In this paper, this method is extended to three dimensions and several new elements are proposed. Computational results obtained for several wave guide and acoustic scattering model problems demonstrate one to two orders of magnitude solution time improvement over the higher-order Galerkin method. Copyright (c) 2005 John Wiley & Sons, Ltd.
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页码：796 / 815
页数：20
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