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http://dx.doi.org/10.5515/KJKIEES.2012.23.2.169

A Study for Improving Computational Efficiency in Method of Moments with Loop-Star Basis Functions and Preconditioner  

Yeom, Jae-Hyun (Department of Electronic and Electrical Engineering, Pohang University of Science and Technology)
Park, Hyeon-Gyu (Department of Electronic and Electrical Engineering, Pohang University of Science and Technology)
Lee, Hyun-Suck (Department of Electronic and Electrical Engineering, Pohang University of Science and Technology)
Chin, Hui-Cheol (Department of Electronic and Electrical Engineering, Pohang University of Science and Technology)
Kim, Hyo-Tae (Department of Electronic and Electrical Engineering, Pohang University of Science and Technology)
Kim, Kyung-Tae (Department of Electronic and Electrical Engineering, Pohang University of Science and Technology)
Publication Information
The Journal of Korean Institute of Electromagnetic Engineering and Science / v.23, no.2, 2012 , pp. 169-176 More about this Journal
Abstract
This paper uses loop-star basis functions to overcome the low frequency breakdown problem in method of moments (MoM) based on electric field integral equation(EFIE). In addition, p-Type Multiplicative Schwarz preconditioner (p-MUS) technique is employed to reduce the number of iterations required for the conjugate gradient method(CGM). Low frequency instability with Rao Wilton Glisson(RWG) basis functions in EFIE can be resolved using loop-start basis functions and frequency normalized techniques. However, loop-star basis functions, consisting of irrotational and solenoidal components of RWG basis functions, require a large number of iterations to calculate a solution through iterative methods, such as conjugate gradient method(CGM), due to high condition number. To circumvent this problem, in this paper, the pMUS preconditioner technique is proposed to reduce the number of iterations in CGM. Simulation results show that pMUS preconditioner is much faster than block diagonal preconditioner(BDP) when the sparsity of pMUS is the same as that of BDP.
Keywords
Electromagnetic Scattering; Loop-Star Basis Function; Preconditioner Matrix; Incomplete Helmholtz Theorem;
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