A posteriori error analysis for a new fully-mixed isotropic discretization to the stationary Stokes-Darcy coupled problem

08/19/2019

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by   Koffi Wilfrid Houédanou, et al.

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In this paper we develop an a posteriori error analysis for the stationary Stokes-Darcy coupled problem approximated by conforming finite element method on isotropic meshes in R^d, d∈{2,3}. The approach utilizes a new robust stabilized fully mixed discretization developed by Jiaping Yu et al. (Advances in Difference Equations, SpringerOpen Journal, 2018). The a posteriori error estimate is based on a suitable evaluation on the residual of the finite element solution plus the stabilization terms. It is proven that the a posteriori error estimate provided in this paper is both reliable and efficient.