Advances in the On-Surface Radiation Condition Method: Theory, Numerics and Applications
Advances in the On-Surface Radiation Condition Method: Theory, Numerics and Applications
复制标题
表面辐射条件方法的进展：理论、数值和应用
DOI：
10.4203/csets.18.8
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发表时间：
2008
影响因子：
1
通讯作者：
X. Antoine
中科院分区：
文献类型：
--
作者：
X. Antoine
本章的目的是全面介绍最近的进展，在表面辐射条件方法的数值表示声散射问题的频域。在介绍了这一领域的主要理论发展之后，介绍了由此产生的问题的有限元公式。一些数值试验表明，OSRC配方的效率和精度的各种模式的问题，但也指出了一些困难仍然存在，直到现在。接下来，讨论是针对一些应用程序的OSRC方法，以不同的重要的当前问题，在计算声散射：建模的外部域和可穿透的散射体，改进现有的积分方程制剂的快速迭代Krylov子空间解决方案和其他潜在的有趣的应用前景大规模的散射问题，在高频率。
The aim of this chapter is to give a comprehensive introduction to the recent advances in the On-Surface Radiation Condition method for the numerical representation of acoustic scattering problems in the frequency domain. After a presentation of the main theoretical developments in this area, the finite element formulation of the resulting problem is introduced. A few numerical tests show the efficiency and accuracy of the OSRC formulations for various model problems but also point out some difficulties remaining until now. Next, the discussion is directed towards some applications of OSRC methods to different important current problems in computational acoustic scattering: modelling of exterior domains and penetrable scatterers, improvement of existing integral equations formulations in view of a fast iterative Krylov subspace solution and other potentially interesting applications for prospecting large scale scattering problems at high frequency.