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A posteriori error estimate for the Stokes–Darcy system

✍ Scribed by Ming Cui; Ningning Yan

Publisher
John Wiley and Sons
Year
2011
Tongue
English
Weight
235 KB
Volume
34
Category
Article
ISSN
0170-4214

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✦ Synopsis

Communicated by X. Wang

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.

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