| 使用PML技术求解Helmholtz方程的几种区域分解算法 |
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| 引用本文： | 郭玉坤,马富明. 使用PML技术求解Helmholtz方程的几种区域分解算法[J]. 高等学校计算数学学报, 2009, 31(4) |
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| 作者姓名： | 郭玉坤 马富明 |
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| 作者单位： | 吉林大学数学科学学院,长春,130012 |
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| 基金项目： | 国家重大基础科学研究基金(973)项目 |
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| 摘 要： | 1引言 在科学与工程计算中,时谐声波和电磁波散射现象的模拟常归结为Helmholtz方程的数值求解,这是一个重要而具有挑战性的问题.
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| 关 键 词： | 计算区域 边值问题 吸收层 内界面 求解 区域分解算法 适定性 无界域 算子方程 高等学校 |
SOME DOMAIN DECOMPOSITION METHODS EMPLOYING THE PML TECHNIQUE FOR THE HELMHOLTZ EQUATION |
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| Guo Yukun,Ma Fuming. SOME DOMAIN DECOMPOSITION METHODS EMPLOYING THE PML TECHNIQUE FOR THE HELMHOLTZ EQUATION[J]. Numerical Mathematics A Journal of Chinese Universities, 2009, 31(4) |
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| Authors: | Guo Yukun Ma Fuming |
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| Affiliation: | Guo Yukun Ma Fuming (School of Mathematics,Jilin University,Changchun 130012) |
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| Abstract: | In this paper,we present some non-overlapping domain decomposition methods(DDM) in conjunction with the perfectly matched layer(PML) technique to solve the time-harmonic scattering problems.The global PML problems can be reduced to two relative smaller problems by introducing the Robin transmission conditions on the interface between the interested subdomain and the subdomain of the layer.Then we analyze the well-posedness of the local problems at the continuous level and the choice of the interface operato... |
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| Keywords: | perfectly matched layer (PML) domain decomposition Helmholtz equation time-harmonic scattering |
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