A unified a posteriori error estimator for finite volume methods for the stokes equations

被引：9
|
作者：
Wang, Junping [1 ]
Wang, Yanqiu [2 ]
Ye, Xiu [3 ]
机构：
[1] Natl Sci Fdn, Div Math Sci, 4201 Wilson Blvd, Arlington, VA 22230 USA
[2] Oklahoma State Univ, Dept Math, Stillwater, OK 74075 USA
[3] Univ Arkansas, Dept Math, Little Rock, AR 72204 USA
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2018年 / 41卷 / 03期
基金：
美国国家科学基金会;
关键词：
a posteriori error estimate; finite volume methods; finite element methods; Stokes equations; ELLIPTIC PROBLEMS; ELEMENT METHOD; DIFFUSION-EQUATIONS; COVOLUME METHOD; APPROXIMATIONS; FRAMEWORK; ACCURACY;
D O I：
10.1002/mma.2871
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the authors established a unified framework for deriving and analyzing a posteriori error estimators for finite volume methods for the Stokes equations. The a posteriori error estimators are residual based and are applicable to various finite volume methods for the Stokes equations. In particular, the unified theoretical analysis works well for finite volume schemes arising from using trial functions of conforming, nonconforming, and discontinuous finite element functions, yielding new results that are not seen in the existing literature. Copyright (c) 2013 John Wiley & Sons, Ltd.
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页码：866 / 880
页数：15
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