电磁场积分方程全等形子域的重叠型区域分解算法

Overlapped Domain Decomposition Method with Congruent Sub-domains for Electromagnetic Surface Integral Equations

提出一种电磁场表面积分方程全等形子域的重叠型区域分解算法.该算法在全等形子域上形成一致网格并使所有子域的自作用矩阵共享一个"内-内"子矩阵,显著减少了区域分解算法的内存需求和阻抗矩阵的填充时间.文中给出的多个算例表明,该算法能得到与矩量法和重叠型区域分解法相一致的计算结果,同时有效减少了对内存的需求和所用的计算时间,从而验证了算法的正确性和有效性.

An overlapped domain decomposition method with congruent sub-domains is proposed for solving electromagnetic surface integral equations.Based on congruent sub-domains,the proposed method creates a set of uniform mesh such that all the self-matrixes on the congruent sub-domains share an interior-interior sub-matrix.The method can significantly reduce the memory requirement and the matrix filling time.It can produce results consistent with those obtained with the MoM and the overlapped domain decomposition method,while reduce the memory requirement and the CPU time.That is shown in the computation examples presented in the paper,indicating correctness and effectiveness of the proposed method.