| 反应扩散方程混合有限元的两层网格方法 |
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| 引用本文： | 刘尚,陈艳萍.反应扩散方程混合有限元的两层网格方法[J].湘潭大学自然科学学报,2007,29(1):22-27,108. |
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| 作者姓名： | 刘尚 陈艳萍 |
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| 作者单位： | 湘潭大学数学与计算科学学院,湖南,湘潭,411105 |
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| 基金项目： | 教育部跨世纪优秀人才培养计划;国家自然科学基金;教育部湖南省教育厅重点项目;湖南省自然科学基金科研项目 |
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| 摘 要： | 考虑反应扩散方程的混合有限元求解方法.对方程通过先在粗网格上求解非线性问题,再在细网格上求解相应的线性问题,获得了两个两层网格算法.
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| 关 键 词： | 误差估计 混合有限元 反应扩散方程 两层网格 |
| 文章编号： | 1000-5900（2007）01-0022-06 |
| 修稿时间： | 2006-06-15 |
Two- grid Methods for Mixed Finite Element Method of Raction Diffusion Equations |
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| LIU Shang,CHEN Yah -ping.Two- grid Methods for Mixed Finite Element Method of Raction Diffusion Equations[J].Natural Science Journal of Xiangtan University,2007,29(1):22-27,108. |
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| Authors: | LIU Shang CHEN Yah -ping |
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| Institution: | School of Mathematics and Computing Science, Xiangtan University, Xiangtan 411105 China |
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| Abstract: | In this paper,we consider the two algorithms of two-grid scheme for the approximation of reaction-diffu-sion equations using a mixed finite-element method.Firstly,we solve an non-linear problem on the coarse grid,then,we preform two Newton iterations on the fine,and we obtained the error estimates of two-grid methods.It is showed that coarse space can be extremely coarse and achieve asymptotically optimal approximation.As a result,solving such a large class of non-linear equation will not be much more difficult than solving one single linearized equation. |
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| Keywords: | the error estimates mixed finite elements reaction-diffusion equations two-grid methods 1991 Mathematics Subject Classification:65N15 65N55 |
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