计算物理 ›› 2010, Vol. 27 ›› Issue (1): 73-81.

• 研究论文 • 上一篇    下一篇

三维粗糙面电磁双站散射的直接型区域分解计算

刘鹏   

  1. 复旦大学波散射与遥感信息国家教育部重点实验室, 上海 200433
  • 收稿日期:2008-08-29 修回日期:2008-12-11 出版日期:2010-01-25 发布日期:2010-01-25
  • 作者简介:刘鹏(1971-),男,陕西,副教授,博士,从事计算电磁学方面的研究,上海复旦大学波散射与遥感信息国家教育部重点实验室200433.
  • 基金资助:
    国家自然科学基金(60501001);霍英东教育基金会高等院校青年教师基金(104025);国家海洋局SOED开放研究基金(200501)资助项目

Direct Domain Decomposition Method for Bistatic Scattering from 3-D Rough Surfaces

LIU Peng   

  1. Key Laboratory of Wave Scattering and Remote Sensing Information (Ministry of Education), Fudan University, Shanghai 200433, China
  • Received:2008-08-29 Revised:2008-12-11 Online:2010-01-25 Published:2010-01-25

摘要: 提出三维粗糙面双站电磁散射的直接型有限元-区域分解方法.首先建立含有迭代Robin边界条件(IRBC)的区域分解法耦合模型,再用内视法导出高度稀疏分块的分区耦合矩阵,之后给出缩减耦合矩阵带宽的子区域排序方法和IRBC的FFT加速算法.用有限元-完全匹配层和未分区的有限元-IRBC方法验证数值结果.

关键词: 区域分解法, 有限元法, 粗糙面, 电磁散射, FFT

Abstract: A direct domain decomposition method(DDM) is developed to simulate bistatic scattering from a 3-D random rough surface.Coupling boundary conditions on interface between adjacent subdomains are derived as iterative Robin boundary condition(IRBC) is used as a truncation boundary in a finite element method(FEM).The final coupling matrix is obtained by an inward-looking approach.A diagonal reordering of subdomains is adopted to reduce the matrix band width.Most time consuming of IRBC computation is on large scale planar fictitious boundary above the rough surface,where the field integral equation is written in 2-D convolution form and calculated efficiently by fast Fourier transform(FFT).Our codes are examined by FEM without DDM and FEM with perfectly matched layers.

Key words: domain decomposition, finite element method, rough surfaces, electromagnetic scattering, FFT

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