| 抛物型积分微分方程的非协调$H^{1}$-Galerkin混合有限元方法 |
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| 引用本文： | 石东洋,王海红.抛物型积分微分方程的非协调$H^{1}$-Galerkin混合有限元方法[J].数学研究及应用,2009,29(5):871-881. |
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| 作者姓名： | 石东洋 王海红 |
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| 作者单位： | 郑州大学数学系, 河南 郑州 450052;郑州大学数学系, 河南 郑州 450052 |
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| 基金项目： | 国家自然科学基金(Nos.10671184; 10371113). |
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| 摘 要： | H^1-Galerkin nonconforming mixed finite element methods are analyzed for integro-differential equation of parabolic type. By use of the typical characteristic of the elements, we obtain that the Galerkin mixed approximations have the same rates of convergence as in the classical mixed method, but without LBB stability condition.
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| 关 键 词： | 抛物型微分方程 混合有限元法 非协调 抛物型方程 积分 Galerkin 混合有限元方法 典型特征 |
| 收稿时间： | 2007/9/24 0:00:00 |
| 修稿时间： | 2008/3/16 0:00:00 |
An $H^{1}$-Galerkin Nonconforming Mixed Finite Element Method for Integro-Differential Equation of Parabolic Type |
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| SHI Dong Yang and WANG Hai Hong.An $H^{1}$-Galerkin Nonconforming Mixed Finite Element Method for Integro-Differential Equation of Parabolic Type[J].Journal of Mathematical Research with Applications,2009,29(5):871-881. |
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| Authors: | SHI Dong Yang and WANG Hai Hong |
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| Institution: | Department of Mathematics, Zhengzhou University, Henan 450052, China;Department of Mathematics and Information Science, Zhengzhou University, Henan 450002 |
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| Abstract: | $H^{1}$-Galerkin nonconforming mixed finite element methods are analyzed for integro-differential equation of parabolic type. By use of the typical characteristic of the elements, we obtain that the Galerkin mixed approximations have the same rates of convergence as in the classical mixed method, but without LBB stability condition. |
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| Keywords: | $H^{1}$-Galerkin mixed method integro-differential equation of parabolic type nonconforming semi-discrete scheme full discrete scheme error estimates |
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