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基于高阶叠层矢量基函数的时域电磁场积分方程方法 被引量:6

Time-Domain Integral Equations Using Higher Order Hierarchical Vector Basis Functions
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摘要 本文将准正交高阶叠层矢量基函数用于时域电磁场积分方程(TDIE),求解了三维金属目标的时域电磁散射问题.准正交高阶叠层矢量基函数定义在曲面四边形单元上,并且不要求网格为规范网格,给复杂目标的几何建模和电磁建模带来很大方便.在空间上利用伽略金方法、时间上采用点匹配法求解时域电磁场积分方程,并采用隐式时间步进算法,数值计算结果表明了该方法求解时域积分方程的精确性、高效性与稳定性. The near orthogonal hierarchical vector basis functions are used for solving three-dimensional time-domain electro- magnetic integral equations (TDIE) of the metallic object. This basis functions are defined on the bilinear quadrilateral,and not require the patches conform which will make the geometry modeling easy. Those bases are implemented with Galerkin' s method in space and point match in time domain for the solution of TDIE, and the implicit matching on time method is used in this paper. Simulation results are given to show the high accuracy, efficiency and stability of this method.
出处 《电子学报》 EI CAS CSCD 北大核心 2008年第3期516-519,共4页 Acta Electronica Sinica
基金 国家自然科学基金(No.60571022 60431010) 国家部级基金(No.9140A03010507D0209)
关键词 高阶方法 高阶叠层矢量基函数 时域电磁场积分方程 higher order method higher order hierarchical vector basis functions time-domain electromagnetic integral equations
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参考文献15

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