A Posteriori Error Analysis for a New Fully Mixed Isotropic Discretization of the Stationary Stokes‐Darcy Coupled Problem

Houédanou Koffi Wilfrid, Adetola Jamal and Allaoui Mohamed

Abstract and Applied Analysis, 2020, vol. 2020, issue 1

Abstract: In this paper, we develop an a posteriori error analysis for the stationary Stokes‐Darcy coupled problem approximated by conforming the finite element method on isotropic meshes in ℝd, d ∈ {2, 3}. The approach utilizes a new robust stabilized fully mixed discretization. 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.

Date: 2020
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https://doi.org/10.1155/2020/8628739

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2020:y:2020:i:1:n:8628739

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