| Superconvergence of a Nonconforming Finite Element Approximation to Viscoelasticity Type Equations on Anisotropic Meshes |
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| 作者姓名： | Dongyang Shi Yucheng Peng Shaochun Chen |
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| 作者单位： | Dongyang Shi，Yucheng Peng and Shaochun Chen Department of Mathematics，Zhengzhou University，Zhengzhou 450052，China. |
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| 基金项目： | This research is supported by the NSF of China (10371113
10471133),SF of Henan Province
SF of Education Committee of Henan Province (2006110011) |
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| 摘 要： | The main aim of this paper is to study the approximation to viscoelasticity type equations with a Crouzeix-Raviart type nonconforming finite element on the anisotropic meshes. The superclose property of the exact solution and the optimal error estimate of its derivative with respect to time are derived by using some novel techniques. Moreover, employing a postprocessing technique, the global superconvergence property for the discretization error of the postprocessed discrete solution to the solution itself is studied.
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| 关 键 词： | 黏弹性型函数 Crouzeix-Raviart型元素 后加工 各向异性网目 |
| 收稿时间： | 2005-11-10 |
| 修稿时间： | 2006-02-06 |
Superconvergence of a Nonconforming Finite Element Approximation to Viscoelasticity Type Equations on Anisotropic Meshes |
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| Dongyang Shi Yucheng Peng Shaochun Chen.Superconvergence of a Nonconforming Finite Element Approximation to Viscoelasticity Type Equations on Anisotropic Meshes[J].Numerical Mathematics A Journal of Chinese Universities English Series,2006,15(4):375-384. |
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| Authors: | Dongyang Shi Yucheng Peng Shaochun Chen |
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| Abstract: | The main aim of this paper is to study the approximation to viscoelasticity type equations with a Crouzeix-Raviart type nonconforming finite element on the anisotropic meshes. The superclose property of the exact solution and the optimal error estimate of its derivative with respect to time are derived by using some novel techniques. Moreover, employing a postprocessing technique, the global superconvergence property for the discretization error of the postprocessed discrete solution to the solution itself is studied. |
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| Keywords: | Viscoelasticity type equations Crouzeix-Raviart type element superclose and supercon-vergence properties postprocessing anisotropic meshes |
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