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STABLE SOLUTION OF TIME DOMAIN INTEGRAL EQUATION METHODS USING QUADRATIC B-SPLINE TEMPORAL BASIS FUNCTIONS
作者姓名:M.  Y.  Xia  G.  H.  Zhang  G.  L.  Dai  C.  H.  Chan
作者单位:[1]School of Electronics Engineering and Computer Science, Peking University, Beijing 100871, China [2]Department of Electronic Engineering, City University of Hong Kong, Kowloon, Hong Kong, China
摘    要:This paper is concerned with stable solutions of time domain integral equation (TDIE) methods for transient scattering problems with 3D conducting objects. We use the quadratic B-spline function as temporal basis functions, which permits both the induced currents and induced charges to be properly approximated in terms of completeness. Because the B-spline function has the least support width among all polynomial basis functions of the same order, the resulting system matrices seem to be the sparsest. The TDIE formula-tions using induced electric polarizations as unknown function are adopted and justified. Numerical results demonstrate that the proposed approach is accurate and efficient, and no late-time instability is observed.

关 键 词:时域积分方程法  稳定解  二次B样条空间基函数  瞬时散射问题
修稿时间:2006-11-062007-01-29

STABLE SOLUTION OF TIME DOMAIN INTEGRAL EQUATION METHODS USING QUADRATIC B-SPLINE TEMPORAL BASIS FUNCTIONS
M. Y. Xia G. H. Zhang G. L. Dai C. H. Chan.STABLE SOLUTION OF TIME DOMAIN INTEGRAL EQUATION METHODS USING QUADRATIC B-SPLINE TEMPORAL BASIS FUNCTIONS[J].Journal of Computational Mathematics,2007,25(3):374-384.
Abstract:
Keywords:TDIE methods  B-spline temporal basis functions  Transient scattering prob-lems  
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