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

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  • Houédanou Koffi Wilfrid
  • Adetola Jamal
  • Allaoui Mohamed

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 , . 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.

Suggested Citation

  • Houédanou Koffi Wilfrid & Adetola Jamal & Allaoui Mohamed, 2020. "A Posteriori Error Analysis for a New Fully Mixed Isotropic Discretization of the Stationary Stokes-Darcy Coupled Problem," Abstract and Applied Analysis, Hindawi, vol. 2020, pages 1-12, October.
    • Handle: RePEc:hin:jnlaaa:8628739
    DOI: 10.1155/2020/8628739
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