| 一种新的重排方法在二维三温问题求解中的应用 |
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| 引用本文： | 张勇,黄廷祝,刘兴平,谷同祥,李厚彪.一种新的重排方法在二维三温问题求解中的应用[J].计算物理,2009,26(1). |
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| 作者姓名： | 张勇 黄廷祝 刘兴平 谷同祥 李厚彪 |
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| 作者单位： | 1. 电子科技大学应用数学学院,四川,成都,610054
2. 北京应用物理与计算数学研究所计算物理实验室,北京,100088 |
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| 基金项目： | 北京应用物理与计算数学研究所计算物理国家级重点实验室合作基金 |
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| 摘 要： | 针对二维三温问题离散化得到的稀疏线性方程组,提出一种新的重排技术(交替hyperPlane重排),并结合ILU分解预条件技术,在Krylov子空间迭代法下进行测试.数值实验表明,在一定的填充模式及预处理消耗大致相同的前提下,使用交替hyperplane重排技术的迭代收敛效果明显优于红黑排序、hyperplane排序等方法.
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| 关 键 词： | 红黑排序 Schur补 Krylov子空间 ILU分解 填充技术 |
Reordering Method for Two-dimension Three-temperature Energy Equations |
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| ZHANG Yong,HUANG Tingzhu,LIU Xingping,GU Tongxing,LI Houbiao.Reordering Method for Two-dimension Three-temperature Energy Equations[J].Chinese Journal of Computational Physics,2009,26(1). |
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| Authors: | ZHANG Yong HUANG Tingzhu LIU Xingping GU Tongxing LI Houbiao |
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| Institution: | 1.School of Applied Math;University of Electronic Science and Technology of China;Chengdu 610054;China;2.Laboratory of Computational Physics;Institute of Applied Physics and Computational Mathematics;Beijing 100088;China |
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| Abstract: | A reordering method,named alternate hyperplane ordering,is proposed to solve linear systems from two-dimension three-temperature nonlinear energy equations.Numerical experiments are performed with Krylov subspace iterative associated(ILU(k)) preconditioning.It is showed that with nearly same preconditioning cost,the proposed ordering method is better than red-black ordering and hyperplane ordering etc. |
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| Keywords: | red-black ordering Schur complement Krylov subspace ILU factorization fill-in technology |
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