A posteriori error estimate for the Stokes–Darcy system
A posteriori error estimate for the Stokes–Darcy system
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DOI：
10.1002/mma.1422
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发表时间：
2011-06
影响因子：
2.9
通讯作者：
Mingrong Cui;N. Yan
中科院分区：
文献类型：
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作者：
Mingrong Cui;N. Yan
我们考虑斯托克斯-达西系统有限元近似的后验误差估计。流体区域的速度和压力采用Hood-Taylor元空间，多孔介质区域的压力采用顺应分段二次元空间。后验误差估计基于对有限元解的残差的适当评估。事实证明，本文提供的后验误差估计既可靠又有效。版权所有 © 2011 约翰·威利父子有限公司
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 © 2011 John Wiley & Sons, Ltd.