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一种基于高阶矢量基函数的叠层预条件技术 被引量：1

An Efficient Preconditioner Based on Higher Order Hierarchical Basis Functions
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摘要 基于六面体的高阶叠层基函数,提出了一种新颖的构造预条件矩阵的方法.该方法基于叠层基函数特有的嵌套性质,利用特殊的编号策略,将由有限元方法导致的系数矩阵分成块矩阵的形式,最后由不完全LU分解(ILU)导出近似的预条件矩阵.结合该预条件技术,发展了一种叠层预条件-GMRES算法,并将该预条件算法用于加速三维腔体散射的矢量有限元/边界积分(FE-BI)矩阵方程的迭代求解,讨论了该预条件算法中块矩阵ILU分解截断门限Tdr对算法的影响. A preeonditioner is proposed for accelerating solutions of finite element matrix equations. The precondifioner is constructed from a sequence of hierarchical vector spaces spanned by higher order hexahedral basis functions. The preconditioned GMRES algorithm with the precondtioner presented is developed and applied to solve the vector finite element-boundary integral （FE-BI） matrix equations for simulation of scattering from three-dimensional cavities. Numerical results show that the preconditioner for solving the FE-BI systems exhibits superior efficiency and reduced the CPU time significantly.
作者 班永灵 聂在平 于哲峰
机构地区 电子科技大学电子工程学院 中国空气动力研究与发展中心
出处 《电子学报》 EI CAS CSCD 北大核心 2007年第9期1739-1744,共6页 Acta Electronica Sinica
基金 国家自然科学基金NSFC重点项目(No.60431010) 国家自然科学基金 中国工程物理研究院联合资助项目(No.10476005)
关键词 预条件技术 高阶基函数 矢量有限元/边界积分方法 散射 precondifioner higher order basis functions funite element-boundary integral method scattering
分类号 TN82 [电子电信—信息与通信工程]
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参考文献12

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共引文献12

同被引文献19

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  • 6J Cong, J Wei, Y Zhang. A Thermal-Driven Floorplanning Al- gorithm for 3D ICs [ A ]. Proceedings of ICCAD 2004 [ C ]. USA, 21X)4. 306 - 313.
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电子学报
2007年 第9期

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