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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 multilevel fast multipole algorithm (MLFMA) is very efficient for solving the three-dimensional problems, but for the small size of the complex objects, the memory usage of the multilevel fast multipole algorithm is very large. To overcome this problem, the matrix decomposition algorithm - singular value decomposition (MDA-SVD) is used to alleviate the pressure of the “strong” interaction portion...
In order to efficiently solve large dense complex linear systems arising from electric field integral equations (EFIE) formulation of electromagnetic scattering problems, the multilevel fast multipole algorithm (MLFMA) is used to accelerate the matrix-vector product operations. This paper presents a modified spectral shift preconditioner, which is combined with other preconditioner can greatly improve...
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