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STABLE SOLUTION OF TIME DOMAIN INTEGRAL EQUATION METHODS USING QUADRATIC B-SPLINE TEMPORAL BASIS FUNCTIONS 被引量:2
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作者 M.Y.Xia G.H.Zhang +1 位作者 g.l.dai C.H.Chan 《Journal of Computational Mathematics》 SCIE EI CSCD 2007年第3期374-384,共11页
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 fu... 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. 展开更多
关键词 TDIE methods B-spline temporal basis functions Transient scattering prob-lems.
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