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In this contribution, we explore the application of the recently proposed nested equivalence source approximation method to the MFIE operator. We find the radial direction of the equivalence source should be removed to obtain better precision. The impedance matrix approximation precision is tested in detail. Error-controllable approximation of the MFIE operator is the key to extend the NESA to homogenous...
A fast wideband electromagnetic scattering analysis method based on Taylor expansion and higher order hierarchical vector basis functions is proposed. By extracting a phase term from the green function, the remaining exponent term can be approximated by its truncated Taylor expansion. After that, some computationally intensive matrices related to the geometry of the object can be computed in advance...
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 this paper, the UV method is utilized to reduce both the memory requirement and computational complexity in time-domain combined field integral equation (TD-CFIE) method to analyze scattering from arbitrarily shaped conducting structures. The UV method takes advantage of the rank-deficiency feature and it is kernel-independent. Different orders of weighted Laguerre polynomials are used as temporal...
A hybrid interpolation method is proposed for the fast analysis of the radar cross-section (RCS) over a broad frequency band by use of the matrix interpolation method. In order to efficiently compute electromagnetic scattering, the general minimal residual (GMRES) iterative solver is applied to compute the coefficients of Rao-Wilton-Glisson (RWG) basis functions and the sparse approximate inversion...
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