Three‐dimensional discontinuous Galerkin elements with plane waves and Lagrange multipliers for the solution of mid‐frequency Helmholtz problems
Three‐dimensional discontinuous Galerkin elements with plane waves and Lagrange multipliers for the solution of mid‐frequency Helmholtz problems
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DOI：
10.1002/nme.1575
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发表时间：
2006-04
影响因子：
2.9
通讯作者：
R. Tezaur;C. Farhat
中科院分区：
文献类型：
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作者：
R. Tezaur;C. Farhat
最近，提出了一种具有平面波基函数和拉格朗日乘子自由度的不连续伽辽金有限元方法，用于有效解决中频范围内的二维亥姆霍兹问题。在本文中，该方法被扩展到三个维度，并提出了几个新的元素。针对多个波导和声散射模型问题获得的计算结果表明，与高阶伽辽金方法相比，求解时间提高了一到两个数量级。版权所有 © 2005 约翰·威利父子有限公司
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 © 2005 John Wiley & Sons, Ltd.