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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...
In this paper, interpolatory vector basis functions for a new combined-field surface integral equation (JMCFIE) solved with the method of moments has been presented. This method applied to solve complex electromagnetic scattering problems, like perfect electric conductors, homogeneous dielectric objects, and conductor-dielectric combined structure. New combined-field surface integral equation (JMCFIE)...
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...
An efficient direct method based on hierarchical matrices (H-matrices) was developed for the solution of large sparse finite element systems. H-matrix technique provides a data-sparse way to approximate the inverse of a finite element matrix which is dense originally. The approximate inverse can be computed and stored in the algebra of hierarchical matrices with almost linear complexity. The accuracy...
MLFMM augmented with a Green's function interpolation method is proposed to efficiently solve the electromagnetic scattering problems. One well-known shortcoming of the traditional mid-frequency MLFMM method is that the finest box size must be at least 0.25 wavelength to ensure the accuracy. However, there exists a myriad of real targets having fine structure, and it usually produces a large number...
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