A posteriori error estimate for the Stokes-Darcy system

被引：21

作者：

Cui, Ming ^{[2
,3
]}

Yan, Ningning ^{[1
]}

机构：

[1] Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, LSEC, Beijing 100190, Peoples R China

[2] Shandong Univ, Sch Math, Jinan 250100, Peoples R China

[3] Chinese Acad Sci, Inst Atmospher Phys, LASG, Beijing 100029, Peoples R China

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2011年 / 34卷 / 09期

关键词：

a posteriori error analysis; Stokes and Darcy equations; Hood-Taylor element; FINITE-ELEMENT METHOD; COUPLING FLUID-FLOW;

D O I：

10.1002/mma.1422

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the a posteriori error estimates for finite element approximations of the Stokes-Darcy system. The finite element spaces adopted are the Hood-Taylor element for the velocity and the pressure in fluid region and conforming piecewise quadratic element for the pressure in porous media region. The a posteriori error estimate is based on a suitable evaluation on the residual of the finite element solution. It is proven that the a posteriori error estimate provided in this paper is both reliable and efficient. Copyright (C) 2011 John Wiley & Sons, Ltd.

引用

页码：1050 / 1064

页数：15

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