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Error Estimation of Euler Method for the Instationary Stokes–Biot Coupled Problem

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  • Koffi Wilfrid Houédanou
  • Jamal Adetola
  • M. M. Bhatti

Abstract

In this paper, we study a finite element computational model for solving the interaction between a fluid and a poroelastic structure that couples the Stokes equations with the Biot system. Equilibrium and kinematic conditions are imposed on the interface. A mixed Darcy formulation is employed, resulting in continuity of flux condition of essential type. A Lagrange multiplier method is used to impose weakly this condition. With the obtained finite element solutions, the error estimators are performed for the fully discrete formulations.

Suggested Citation

  • Koffi Wilfrid Houédanou & Jamal Adetola & M. M. Bhatti, 2021. "Error Estimation of Euler Method for the Instationary Stokes–Biot Coupled Problem," Journal of Mathematics, Hindawi, vol. 2021, pages 1-14, November.
    • Handle: RePEc:hin:jjmath:5982948
    DOI: 10.1155/2021/5982948
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