| 可压缩Navier-Stokes方程的稳定化有限元方法 |
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| 引用本文： | 骆艳,陈豫眉,冯民富.可压缩Navier-Stokes方程的稳定化有限元方法[J].四川大学学报(自然科学版),2007,44(5):949-955. |
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| 作者姓名： | 骆艳 陈豫眉 冯民富 |
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| 作者单位： | 电子科技大学应用数学学院,成都,610054;西华师范大学数学与信息学院,南充,637002;四川大学数学学院,成都,610064 |
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| 摘 要： | 研究了可压缩线性化Navier-Stokes方程的稳定化有限元方法.对动力方程和连续方程分别应用Galerkin/Petrov最小二乘法和流线扩散法离散，得到一个相容的稳定化有限元格式,证明了此格式在无需满足B-B条件的情况下，解的存在性和唯一性，以及相应的最优误差估计.
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| 关 键 词： | 可压缩的N-S方程 有限元 Galerkin/Petrov最小二乘法 流线扩散法 误差估计 |
| 文章编号： | 0490-6756（2007）05-0949-07 |
| 收稿时间： | 7/2/2006 12:00:00 AM |
| 修稿时间： | 2006-07-02 |
Stabilized mixed methods for the compressible Navier-Stokes problem |
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| LUO Yan,CHEN Yu-mei and FENG Min-fu.Stabilized mixed methods for the compressible Navier-Stokes problem[J].Journal of Sichuan University (Natural Science Edition),2007,44(5):949-955. |
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| Authors: | LUO Yan CHEN Yu-mei and FENG Min-fu |
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| Institution: | School of Applied Mathematics, University of Electronic Science and Technology of China,College of Mathematics and Information,China West Normal University,School of Mathematics,Sichuan University |
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| Abstract: | A linearized compressible viscous Stokes system is considered. A finite-element formulation is construted by applying Galerkin/Petrov-least squares-type finite methods to momentum equations and streamline diffusion methods to continuity equation. The resulting finite-element formulation is consistent and stable for any combination of discrete velocity and pressure space and uniquely solvable without requiring a Babuska- Brezzi stability condition. An error estimate is obtained. |
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| Keywords: | compressible Stokes flows finite element Galerkin/Petrov-least squar-type streamline diffusion error estimate |
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