| 非定常对流扩散问题的非协调局部投影有限元方法 |
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| 引用本文： | 常晓蓉,冯民富. 非定常对流扩散问题的非协调局部投影有限元方法[J]. 计算数学, 2011, 33(3): 275-288 |
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| 作者姓名： | 常晓蓉 冯民富 |
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| 作者单位： | 四川大学数学学院, 成都 610064 |
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| 摘 要： | 本文将近年来基于协调有限元逼近提出的涡旋粘性法推广应用到非协调有限元逼近,对非定常的对流占优扩散问题,空间采用非协调Crouzeix-Raviart元逼近,时间用Crank-Nicolson差分离散格式,提出了Crank-Nicolson差分-局部投影法稳定化有限元格式,我们对稳定性和误差估计给出了详细的分析,得出了最...
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| 关 键 词： | 局部投影 非协调有限元 非定常对流占优扩散问题 |
| 收稿时间： | 2010-08-06; |
NONCONFORMING LOCAL PROJECTION STABILIZED METHOD FOR THE NON-STATIONARY CONVECTION DIFFUSION PROBLEM |
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| Chang Xiaorong,Feng Minfu. NONCONFORMING LOCAL PROJECTION STABILIZED METHOD FOR THE NON-STATIONARY CONVECTION DIFFUSION PROBLEM[J]. Mathematica Numerica Sinica, 2011, 33(3): 275-288 |
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| Authors: | Chang Xiaorong Feng Minfu |
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| Affiliation: | Department of Mathematics, Sichuan University, Chengdu 610064, China |
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| Abstract: | This paper is concerned with the extension of the conforming element approximations based on eddy viscosity to the nonconforming element approximation. For the non-stationary convection diffusion problem, where the Crouzeix-Raviart element is employed. A fully discretized formulation with a Crank-Nicholson scheme for the time variable, and a Crank-Nicholson difference - local projection method finite element scheme is prensented.We prove stability and convergence, then an optimal error estimate is obtained. |
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| Keywords: | local projection nonconforming finite element non-stationary convection-dominated diffusion problem |
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