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 计算数学  2011, Vol. 33 Issue (2): 133-144    DOI:
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Darcy-Stokes问题的统一稳定化有限体积法分析

1. 电子科技大学数学科学学院, 成都, 610054;
2. 四川大学数学学院, 成都, 610064
ANALYSIS OF A UNIFIED STABILIZED FINITE VOLUME METHOD FOR THE DARCY-STOKES PROBLEM
Xie Chunmei1, Luo Yan1, Feng Minfu2
1. School of mathematical sciences, University of Electronic Science and Technology, Chengdu 610054, China;
2. School of Mathematics, Sichuan University, Chengdu 610064, China
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Abstract

A unified stabilized finite volume element method is proposed for the Darcy-Stokes problem. For the discretization form, two grids are needed; one is triangulation and the other is quadrilateral meshes. The velocity is approximated using nonconforming piecewise linears and the pressure piecewise constants. The proposed unified method in this paper is shown to be stable and optimally convergent for both the velocity and the pressure. Moreover, numerical experiments are given to demonstrate the theoretical results.

 引用本文: . Darcy-Stokes问题的统一稳定化有限体积法分析[J]. 计算数学, 2011, 33(2): 133-144. . ANALYSIS OF A UNIFIED STABILIZED FINITE VOLUME METHOD FOR THE DARCY-STOKES PROBLEM[J]. Mathematica Numerica Sinica, 2011, 33(2): 133-144.

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