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

Koffi Wilfrid Houédanou, Jamal Adetola and M. M. Bhatti

Journal of Mathematics, 2021, vol. 2021, 1-14

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.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:5982948

DOI: 10.1155/2021/5982948

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