STABLE SOLUTION OF TIME DOMAIN INTEGRAL EQUATION METHODS USING QUADRATIC B-SPLINE TEMPORAL BASIS FUNCTIONS  

作　　者：M.Y.Xia G.H.Zhang G.L.Dai C.H.Chan 

机构地区：[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

出　　处：《Journal of Computational Mathematics》2007年第3期374-384,共11页计算数学（英文）

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.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：TDIE methods B-spline temporal basis functions Transient scattering prob-lems. 

分 类 号：O241[理学—计算数学]