| Navier-Stokes方程的局部压力梯度稳定化有限元方法分析 |
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| 引用本文： | 卓凡,冯民富,张莉. Navier-Stokes方程的局部压力梯度稳定化有限元方法分析[J]. 四川大学学报(自然科学版), 2010, 47(1): 35-43. DOI: 10.3969/j.issn.0490-6756.2010.01.008 |
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| 作者姓名： | 卓凡 冯民富 张莉 |
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| 作者单位： | 1. 四川大学数学学院,成都,610064
2. 四川师范大学数学与软件科学学院,成都,610068 |
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| 摘 要： | 基于局部压力梯度稳定化方法,作者提出了Navier-Stokes方程的一种新的有限元方法,其中速度V属于H~1连续的空间,压力P属于L~2非连续的空间.利用Brouwer不动点定理,作者证明了离散解的存在性和唯一性并给出了误差估计.
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| 关 键 词： | Navier-Stokes方程 压力梯度稳定化方法 Brouwer不动点定理 |
Analysis of a local pressure gradient-stabilized finite element approximation of the Navier-Stokes equations |
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| ZHUO Fan,FENG Min-Fu,ZHANG Li. Analysis of a local pressure gradient-stabilized finite element approximation of the Navier-Stokes equations[J]. Journal of Sichuan University (Natural Science Edition), 2010, 47(1): 35-43. DOI: 10.3969/j.issn.0490-6756.2010.01.008 |
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| Authors: | ZHUO Fan FENG Min-Fu ZHANG Li |
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| Affiliation: | College of Mathematics, Sichuan University;College of Mathematics, Sichuan University;College of Mathematics and Software, Sichuan Normal University |
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| Abstract: | Based on local pressure gradient-stabilized finite element method, the authors develop a new approximation of the Navier-Stokes equations, of which the velocity is in continuous H~1 space and pressure in discontinuous L~2 space. By using Brouwer's fixed point theorem, the authors prove the existence and uniqueness of the discrete solution and give the error estimates. |
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| Keywords: | Navier-Stokes equation pressure gradient stabilization Brouwer's fixed point theorem |
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