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 

作者机构：School of Electronics Engineering and Computer SciencePeking UniversityBeijing 100871China Department of Electronic EngineeringCity University of Hong KongKowloonHong KongChina 

出 版 物：《Journal of Computational Mathematics》 (计算数学（英文）)

年 卷 期：2007年第25卷第3期

页      面：374-384页

核心收录：

学科分类：07[理学] 070102[理学-计算数学] 0701[理学-数学] 

基　　金：the National Science Foundation of China under Projects 60429101 and 60471006 

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

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.