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| 具有周期振荡系数二阶椭圆型方程的双尺度高精度算法 | |
| 引用本文： | 刘晓奇,刘金朝,朱起定.具有周期振荡系数二阶椭圆型方程的双尺度高精度算法[J].系统科学与数学,2005,25(4):471-480. |
| 作者姓名： | 刘晓奇 刘金朝 朱起定 |
| 作者单位： | 1. 湖南师范大学数学与计算机科学学院,长沙,410081;湖南科技大学数学学院,湘潭,411201 2. 中国铁道科学研究院,北京,100081 3. 湖南师范大学数学与计算机科学学院,长沙,410081 |
| 基金项目： | 湖南省教育厅科研基金(03C554) |
| 摘 要： | 本文考虑了一类具有周期振荡系数二阶椭圆型方程边值问题,提出了基于双尺度渐近展开式的高精度有限元算法,并给出严格的证明。 |
| 关 键 词： | 双尺度渐近展开式 二阶椭圆型方程 周期间断系数 高精度算法 |
| 修稿时间： | 2002年10月25 |
HIGH ACCURACY ALGORITHM FOR SECOND ORDER ELLIPTIC PROBLEM WITH ROUGH PERIODIC COEFFICIENTS |
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| Liu Xiaoqi,Liu Jinzhao,Zhu Qiding.HIGH ACCURACY ALGORITHM FOR SECOND ORDER ELLIPTIC PROBLEM WITH ROUGH PERIODIC COEFFICIENTS[J].Journal of Systems Science and Mathematical Sciences,2005,25(4):471-480. | |
| Authors: | Liu Xiaoqi Liu Jinzhao Zhu Qiding |
| Institution: | (1)School of Mathematics and Computer Science, Hunan Normal University, Changsha 410081;(2)Railway Research Institute, Beijing 100081;(3)School of Mathematics and Computer Science, Hunan Normal University, Changsha 410081 |
| Abstract: | In this paper, the boundary value problem of second order elliptic type equation with rough periodic coefficients is considered, which comes from mechanical problem of composite materials and the heat equation of porous media and so on. A two-scale finite element method with high accuracy and its rigorous theoretical verification are reported. |
| Keywords: | Two-scale asymptotic expansion second order elliptic equation rough periodic coefficient high accuracy method |
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