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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...
In this paper, the IE-FFT has been successfully implemented with the curvilinear basis function to solve scattering problems. The IE-FFT is used to speed up the matrix-vector multiplication. The CPU time per iteration is O(N1.5log(N)) and the memory requirement is O(N1.2). The MN preconditioner has been used to improve the convergence of the CG solver and the good performance has been shown. The speed...
This paper presents a simplified near-field preconditioner based on multi-level fast multipole algorithm (MLFMA). The preconditioner attains a low computation complexity, has no influence on memory requirement and is easy to be parallelized. It shows good performance in numerical experiments and is applied in solving a very large scale problem.
In this paper, a novel improved electric field integral equation (IEFIE) is developed to achieve fast and accurate solution of electromagnetic scattering from 3-D conducting structures. By adding the principle value term of the magnetic field integral equation (MFIE) operator into the EFIE operator, a well-conditioned improved EFIE operator is constructed. To achieve a reasonable accuracy, several...
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