| 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. |
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