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arXiv · 1908.07454

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

Koffi Wilfrid Houédanou·Jamal Adetola
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Abstract

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 $\mathbb{R}^d$, $d\in\{2,3\}$. 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.

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Koffi Wilfrid Houédanou, Jamal Adetola. 2019-08-19. A posteriori error analysis for a new fully-mixed isotropic discretization of the stationary Stokes-Darcy coupled problem. https://arxiv.org/abs/1908.07454

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