A Posteriori Error Analysis for a New Fully Mixed Isotropic Discretization of the Stationary Stokes-Darcy Coupled Problem-Reference-Cited by-同舟云学术

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

Published:2020-10-10 Issue: Volume:2020 Page:1-12
ISSN:1687-0409
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Wilfrid Houédanou Koffi¹^ORCID,Jamal Adetola²,Mohamed Allaoui³

Affiliation:

1. Département de Mathématiques, Université d'Abomey-Calavi (UAC), Benin

2. Institut de Mathématiques et de Sciences Physiques (IMSP), Université d'Abomey-Calavi (UAC), Benin

3. Département de Sciences Économiques, Université de Comores, Comoros

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

ℝ^{d}

d \in \{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.

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2020/8628739.pdf

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