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Spectral discretization of Darcy equations coupled with Stokes equations by vorticity-velocity-pressure formulations
Journal article   Peer reviewed

Spectral discretization of Darcy equations coupled with Stokes equations by vorticity-velocity-pressure formulations

Yassine Mabrouki, Saloua Mani Aouadi and Jamil Satouri
Numerical methods for partial differential equations, Vol.33(5), pp.1628-1651
01/09/2017
DOI: https://doi.org/10.1002/num.22157

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
We propose to make the numerical analysis of a model coupling the Darcy equations in a porous medium with the Stokes equations in the cracks. The coupling is provided by a pressure continuity on the interface. We describe a discretization by spectral element methods. We derive a priori optimal error estimates and we present some numerical experiments which confirm the results of the analysis.(c) 2017 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 33: 1628-1651, 2017

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