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A posteriori error estimate for the Stokes–Darcy system |
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| Authors: | Ming Cui Ningning Yan |
| Institution: | 1. School of Mathematics, Shandong University, Jinan 250100, People's Republic of China;2. LASG, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029, People's Republic of China;3. LSEC, Institute of Systems Science, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, People's Republic of China |
| Abstract: | 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. |
| Keywords: | a posteriori error analysis Stokes and Darcy equations Hood– Taylor element |