| 一种基于高阶矢量基函数的叠层预条件技术 |
| |
| 引用本文： | 班永灵,聂在平,于哲峰.一种基于高阶矢量基函数的叠层预条件技术[J].电子学报,2007,35(9):1739-1744. |
| |
| 作者姓名： | 班永灵 聂在平 于哲峰 |
| |
| 作者单位： | 电子科技大学电子工程学院,四川成都,610054;中国空气动力研究与发展中心,四川绵阳,621000 |
| |
| 基金项目： | 国家自然科学基金NSFC重点项目，国家自然科学基金和中国工程物理研究院联合资助项目 |
| |
| 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.
|
| 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 |
| 文章编号： | 0372-2112（2007）09-1739-06 |
| 收稿时间： | 2006-06-09 |
| 修稿时间： | 2006-06-09 |
An Efficient Preconditioner Based on Higher Order Hierarchical Basis Functions |
| |
| BAN Yong-ling,NIE Zai-ping,YU Zhe-feng.An Efficient Preconditioner Based on Higher Order Hierarchical Basis Functions[J].Acta Electronica Sinica,2007,35(9):1739-1744. |
| |
| Authors: | BAN Yong-ling NIE Zai-ping YU Zhe-feng |
| |
| Affiliation: | 1. School of Electronic Engineering,UEST of China,Chengdu,Sichuan 610054,China; 2. Center of aerodynamics research and development of China,Mianyang,Sichuan 621000 China |
| |
| Abstract: | A preconditioner is proposed for accelerating solutions of finite element matrix equations.The preconditioner 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. |
| |
| Keywords: | preconditioner higher order basis functions finite element-boundary integral method scattering |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
| 点击此处可从《电子学报》浏览原始摘要信息 |
|
点击此处可从《电子学报》下载全文 |
