Acoustic scattering: high frequency boundary element methods and unified transform methods

Acoustic scattering: high frequency boundary element methods and unified transform methods
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发表时间:
2014-10
期刊:
arXiv: Numerical Analysis
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通讯作者:
S. Chandler-Wilde;S. Langdon
S. Chandler-Wilde;S. Langdon
中科院分区:
其他
文献类型:
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作者:
S. Chandler-Wilde;S. Langdon

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我们描述了声散射问题数值解的一些最新进展。本文的重点是用数值-渐近混合边界元方法有效地求解高频散射问题。我们还联系了A.S.Fokas和合著者提出的统一变换方法,分析了J.A.de-Santo和合著者针对衍射栅声散射问题提出的该方法的具体实例。
We describe some recent advances in the numerical solution of acoustic scattering problems. A major focus of the paper is the efficient solution of high frequency scattering problems via hybrid numerical-asymptotic boundary element methods. We also make connections to the unified transform method due to A. S. Fokas and co-authors, analysing particular instances of this method, proposed by J. A. De-Santo and co-authors, for problems of acoustic scattering by diffraction gratings.