2020 A Posteriori Error Analysis for a New Fully Mixed Isotropic Discretization of the Stationary Stokes-Darcy Coupled Problem
Houédanou Koffi Wilfrid, Adetola Jamal, Allaoui Mohamed
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Abstr. Appl. Anal. 2020: 1-12 (2020). DOI: 10.1155/2020/8628739

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 d,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.

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Houédanou Koffi Wilfrid. Adetola Jamal. Allaoui Mohamed. "A Posteriori Error Analysis for a New Fully Mixed Isotropic Discretization of the Stationary Stokes-Darcy Coupled Problem." Abstr. Appl. Anal. 2020 1 - 12, 2020. https://doi.org/10.1155/2020/8628739

Information

Received: 19 June 2020; Accepted: 27 September 2020; Published: 2020
First available in Project Euclid: 28 July 2020

Digital Object Identifier: 10.1155/2020/8628739

Rights: Copyright © 2020 Hindawi

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