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| 抛物积分微分问题各向异性有限元的超收敛分析 | |
| 引用本文： | 高新慧,魏本成,石东洋.抛物积分微分问题各向异性有限元的超收敛分析[J].河南科学,2007,25(5):689-692. |
| 作者姓名： | 高新慧 魏本成 石东洋 |
| 作者单位： | 1. 商丘职业技术学院,河南,商丘,476000 2. 黄淮学院,数学系,河南,驻马店,463000 3. 郑州大学,数学系,郑州,450052 |
| 基金项目： | 国家自然科学基金 , 河南省创新人才培养工程项目 |
| 摘 要： | 研究具有各向异性特征的双二次元对抛物积分微分方程进行了逼近.通过采用积分恒等式和插值后处理技术,在各向异性网格下得到了比以往文献高一阶的超逼近和超收敛结果. |
| 关 键 词： | 抛物积分微分方程 各向异性元 超逼近及超收敛 |
| 文章编号： | 1004-3918（2007）05-0689-04 |
| 修稿时间： | 2007-06-08 |
Superconvergence Analysis for Parabolic Integrodifferential Equation with Anisotropic Finite Element |
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| GAO Xin-hui,WEI Ben-cheng,SHI Dong-yang.Superconvergence Analysis for Parabolic Integrodifferential Equation with Anisotropic Finite Element[J].Henan Science,2007,25(5):689-692. | |
| Authors: | GAO Xin-hui WEI Ben-cheng SHI Dong-yang |
| Institution: | 1.Shangqiu Vocational and Technical College,Shangqiu 476000,China;2.Department of Mathematics,Huanghuai College,Zhumadian 463000,China; 3.Department of Mathematics,Zhengzhou University,Zhengzhou 450052,China |
| Abstract: | The approximation of the parabolic integro-differential equations is studied with anisotropic biquadratic finite element.By means of integral identities and a post-processing technique,one order higher superclose and superconvergence results than that of previous literature are obtained. |
| Keywords: | parabolic integro-differential equation anisotropic element superclose and superconvergence |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ | |