Convergence of Hardy Space Infinite Elements for Helmholtz Scattering and Resonance Problems
Convergence of Hardy Space Infinite Elements for Helmholtz Scattering and Resonance Problems
复制标题
亥姆霍兹散射和共振问题的 Hardy 空间无限元收敛
DOI：
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发表时间：
2016
影响因子：
2.9
通讯作者：
M. Halla
中科院分区：
文献类型：
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作者：
M. Halla
本文对用哈代空间无限元离散Helmholtz散射和共振问题进行了收敛性分析。超代数收敛速度相对于哈代空间自由度的数量。我们考虑领域和分段多面体作为透明的边界。分析是基于一个Gaa rding型不等式和标准算子的理论结果。虽然所得到的结果与径向完全匹配层方法的结果有关，但在分析中使用了不同的技术。
We perform a convergence analysis for discretizations of Helmholtz scattering and resonance problems obtained by Hardy space infinite elements. Superalgebraic convergence rates with respect to the number of Hardy space degrees of freedom are achieved. We consider spheres and piecewise polytopes as transparent boundaries. The analysis is based on a Gaa rding-type inequality and standard operator theoretical results. While the obtained results are related to those for the radial perfectly matched layer method, different techniques are used in the analysis.