Browsing Computational Electromagnetics Research Center (BiLCEM) by Author "Kazempour, Mahdi"
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Item Open AccessAlgebraic acceleration and regularization of the source reconstruction method with the recompressed adaptive cross approximation(IEEE, 2014) Kazempour, Mahdi; Gürel, Levent; Gürel, LeventWe present a compression algorithm to accelerate the solution of source reconstruction problems that are formulated with integral equations and defined on arbitrary three-dimensional surfaces. This compression technique benefits from the adaptive cross approximation (ACA) algorithm in the first step. A further error-controllable recompression is applied after the ACA. The numerical results illustrate the efficiency and accuracy of the proposed method. © 2014 IEEE. Item Open AccessFast solution of electromagnetic scattering problems with multiple excitations using the recompressed adaptive cross approximation(IEEE, 2014) Kazempour, Mahdi; Gürel, Levent; Gürel, LeventWe present an algebraic compression technique to accelerate the computation of multiple monostatic radar cross sections of arbitrary 3-D geometries. The method uses adaptive cross approximation, followed by a recompression technique to reduce the CPU time and the memory consumption. Each scattering problem due to a single excitation is solved with the multilevel fast multipole algorithm. The numerical results demonstrate the efficiency and accuracy of the proposed method. © 2014 IEEE. Item Open AccessSolution of low-frequency electromagnetics problems using hierarchical matrices(IEEE, 2013) Kazempour, Mahdi; Gürel, LeventFast and accurate solutions of low-frequency electromagnetics problems are obtained with an iterative solver based on hierarchical matrices. Iterative solvers require matrix-vector multiplications (MVMs). The results show significant reductions both in CPU time and memory consumption compared to the O(N2) complexity of ordinary matrix filling and MVM.