计算物理 ›› 2010, Vol. 27 ›› Issue (1): 73-81.
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刘鹏
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LIU Peng
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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
中图分类号:
O441
刘鹏. 三维粗糙面电磁双站散射的直接型区域分解计算[J]. 计算物理, 2010, 27(1): 73-81.
LIU Peng. Direct Domain Decomposition Method for Bistatic Scattering from 3-D Rough Surfaces[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2010, 27(1): 73-81.
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