| 二维Burgers方程的非协调有限元方法 |
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| 引用本文： | 张铁,黄明游.二维Burgers方程的非协调有限元方法[J].吉林大学学报(理学版),1987(3). |
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| 作者姓名： | 张铁 黄明游 |
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| 作者单位： | 吉林大学数学系
(张铁)，吉林大学数学系(黄明游) |
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| 摘 要： | 本文讨论二维Burgers方程的一类非协调有限元近似,从理论上证明了此类方法具有最佳阶的收敛速度,并通过数值例子表明方法的有效性。
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| 关 键 词： | 有限元近似 收敛速度 Burgers方程 |
On Nonconforming Finite Element Methods for Solving the Two-dimensional Burgers' Equation |
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| Zhang Tie and Huang Mingyou.On Nonconforming Finite Element Methods for Solving the Two-dimensional Burgers'''' Equation[J].Journal of Jilin University: Sci Ed,1987(3). |
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| Authors: | Zhang Tie and Huang Mingyou |
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| Institution: | Zhang Tie and Huang Mingyou |
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| Abstract: | This paper is devoted to a class of nonconforming finite element methods for solving two-dimensional Burgers' equation, It is proved that these methods admit convergence estimate of optimal order for regular solutions and that under certain conditions there exist regular solutions to the Burgers' equation. Finally, the efficiency of the linear nonconforming finite element method is tested by numerical experiments. |
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| Keywords: | finite element approximations convergence rate burgers'equation |
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