| 粘弹性方程Hermite型有限元新的超收敛分析和外推 |
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| 引用本文： | 史艳华,石东洋.粘弹性方程Hermite型有限元新的超收敛分析和外推[J].河南师范大学学报(自然科学版),2009,37(3). |
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| 作者姓名： | 史艳华 石东洋 |
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| 作者单位： | 1. 许昌学院,数学科学学院,河南,许昌,461000
2. 郑州大学,数学系,郑州,450052 |
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| 摘 要： | 利用积分恒等式技巧和插值后处理技术,得到了粘弹性方程Hermite型有限元的超逼近和超收敛性质.同时利用Bramble-Hilbert引理,构造了一个新的合适的外推格式,得到了与以往文献相同阶的外推结果.
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| 关 键 词： | 粘弹性方程 Hermite型有限元 超收敛 外推 |
A New Superconvergence Analysis and Extrapolation of Hermite-type Finite Element Method for Viscoelasticity Equation |
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| SHI Yan-hua,SHI Dong-yang.A New Superconvergence Analysis and Extrapolation of Hermite-type Finite Element Method for Viscoelasticity Equation[J].Journal of Henan Normal University(Natural Science),2009,37(3). |
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| Authors: | SHI Yan-hua SHI Dong-yang |
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| Institution: | 1.School of Mathematical Sciences;Xuchang College;Xuchang 461000;China;2.Department of Mathematics;Zhengzhou University;Zhengzhou 450052;China |
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| Abstract: | Based on the integral identity and interpolated post processing techniques,the superclose property and the global superconvergence of a Hermite-type element for viscoelasticity equationare are derived.At the same time,by virtue of the Bramble-Hilbert lemma,a new and suitable extrapolation is constructed and the same order accuracy of extrapolation result with that of the previous literature is also obtained. |
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| Keywords: | viscoelasticity equation Hermite-type element superclose property superconvergence extrapolation |
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