| 抛物问题的一类变网格矩形有限元方法 |
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| 引用本文： | 王健. 抛物问题的一类变网格矩形有限元方法[J]. 安徽大学学报(自然科学版), 2007, 32(2): 5-9. DOI: 10.3969/j.issn.1000-2162.2007.02.002 |
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| 作者姓名： | 王健 |
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| 作者单位： | 安阳师范学院,数学系,河南,安阳,455000 |
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| 基金项目： | 河南省自然科学基金资助项目(0511013800) |
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| 摘 要： | 传统有限元方法要求区域剖分满足正则性条件.对一类抛物问题,首先可利用相应的矩形元,绕开区域剖分中正则性条件的限制,再结合变网格思想,导出所讨论问题的全离散有限元格式;其次,利用Riesz投影算子,通过一些新的技巧和方法,得到与传统有限元相同的最优误差估计.
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| 关 键 词： | 抛物问题 变网格 全离散 误差估计 |
| 文章编号： | 1000-2162（2007）02-0005-05 |
| 修稿时间： | 2006-05-10 |
Rectangular finite element method with moving grid for parabolic problem |
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| WANG Jian. Rectangular finite element method with moving grid for parabolic problem[J]. Journal of Anhui University(Natural Sciences), 2007, 32(2): 5-9. DOI: 10.3969/j.issn.1000-2162.2007.02.002 |
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| Authors: | WANG Jian |
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| Abstract: | The classial finite element method need the meshes of triangulation satisfying the regular assumption.Firstly,by using rectangular finite element,a class of parabolic problem are studied without the regular assumption on meshes.At the same time,by combining the moving grid techniques,anisotropic element approximate shceme are given;Secondly,by means of Riesz projection operator and some new approaches,the same optimal error estimate as that for the traditional finite element method can be obtained. |
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| Keywords: | parabolic problem moving grid approximate shceme error estimates |
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