| 具有小周期参数抛物型方程一种新的双尺度有限元分析 |
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| 引用本文： | 孙艳萍,王自强,曹俊英.具有小周期参数抛物型方程一种新的双尺度有限元分析[J].河南科学,2009,27(3):253-257. |
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| 作者姓名： | 孙艳萍 王自强 曹俊英 |
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| 作者单位： | 1. 河南工程学院,数理科学系,郑州,451191
2. 贵州民族学院数学与计算机科学学院,贵阳,550025 |
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| 基金项目： | 河南工程学院校级青年基金，贵州民族学院校级科研项目 |
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| 摘 要： | 利用均匀化,渐进展开式和双尺度有限元方法,对具有高阶震荡系数的抛物型方程给出了一种新的半离散有限元格式,即在时间上保持连续,空间上利用双尺度有限元进行离散.并分析了该格式的收敛性.
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| 关 键 词： | 均匀化 双尺度有限元 复合材料 抛物型方程 |
A New Two-Scale FEM Analysis for Parabolic Equations with Small Periodic Coefficients |
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| Sun Yanping,Wang Ziqiang,Cao Junying.A New Two-Scale FEM Analysis for Parabolic Equations with Small Periodic Coefficients[J].Henan Science,2009,27(3):253-257. |
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| Authors: | Sun Yanping Wang Ziqiang Cao Junying |
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| Institution: | 1.Department of Mathmatical and Physical Sciences;Henan Academy of Engineering;Zhengzhou 451191;China;2.Guizhou University for Nationalities;School of Maths and Computer Science;Guiyang 550025;China |
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| Abstract: | This paper is concerned with a new so-called semidiscreted Two-scale FEM for solving parabolic equation with highly oscillatory coefficients by the homogenization,multiscale asymptotic expansion and Two-scale FEM.The semidiscreted Two-scale FEM is that it is discreted in space and keeps continue in time.Finally,the approximate error is given. |
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| Keywords: | homognization muliscale method composite materials parabolic equation |
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