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In this study, an efficient Calderon multiplicative preconditioner (CMP) based on the curvilinear elements is proposed for preconditioning electric field integral equation (EFIE) for three-dimensional electromagnetic problems. The curvilinear CMP are constructed by the curvilinear Buffa-Christinansen (BC) basis functions and curvilinear Rao-Wilton-Glisson (CRWG) basis functions, both of which can...
The finite-element boundary integral method (FEBI) combining with the multilevel fast multipole algorithm (MLFMA) is well known as a powerful tool to solve the complex scattering problems. Unfortunately, because the coefficient matrix arising from the FEBI is badly conditioned, this hybrid method suffers from a very slow convergence rate with iterative solvers, and even disconverges for a very complex...
For efficiently solving large dense complex linear systems with multiple right-hand sides that arise in monostatic radar cross section (RCS) calculation, a spectral multiresolution method combined with the multilevel fast multipole algorithm (MLFMA) is developed and used in the context of the generalized minimal residual iterative method (GMRES). In this scheme, the MLFMA is used to speed up the matrix...
A new multiresolution (MR) preconditioner is presented in this paper, and it is combined with the multilevel fast multipole algorithm (MLFMA) for the analysis of electromagnetic scatters; Furthermore, the MR preconditioner is modified to be more effective by including a perturbation which is constructed from the principle value term of the magnetic field integral equation (MFIE) operator for solving...
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