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.
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.
出处
《计算物理》
EI
CSCD
北大核心
2010年第1期73-81,共9页
Chinese Journal of Computational Physics
基金
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
关键词
区域分解法
有限元法
粗糙面
电磁散射
FFT
domain decomposition
finite element method
rough surfaces
electromagnetic scattering
FFT