An overlapped domain decomposition method for solving electromagnetic surface integral equations

An overlapped domain decomposition method with congruent sub-domains is developed for electromagnetic surface integral equations. Based on congruent sub-domains, the proposed method creates a set of uniform mesh such that all the self-matrices on the congruent sub-domains share an interior-interior sub-matrix, which can reduce the memory requirement and the matrix filling time, intensively, especially for extremely large objects with great numbers of congruent sub-domains.