A postprocessing finite volume element method for time-dependent Stokes equations

被引：20
|
作者：
Yang, Min [1 ]
Song, Huailing [2 ]
机构：
[1] Yantai Univ, Dept Math, Yantai 264005, India
[2] Hunan Univ, Coll Math & Econometr, Changsha 410082, Hunan, Peoples R China
来源：
APPLIED NUMERICAL MATHEMATICS | 2009年 / 59卷 / 08期
关键词：
Finite volume element; Stokes problem; Postprocessing; Error estimates; GALERKIN METHOD; COVOLUME METHOD; APPROXIMATION; CONVERGENCE; ACCURACY;
D O I：
10.1016/j.apnum.2009.02.004
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we utilize the P-1-P-0 macro-element to develop a postprocessing finite volume element procedure for time-dependent Stokes equations. The method raises by one order the H-1 norm rate of convergence of the velocity and correspondingly the L-2 norm of the pressure. Numerical examples are presented to illustrate the theoretical analysis. (C) 2009 IMACS. Published by Elsevier B.V. All rights reserved.
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页码：1922 / 1932
页数：11
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