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

DOI10.1002/num.22157zbMath1394.65156OpenAlexW2611691544MaRDI QIDQ5365214

Yassine Mabrouki, Jamil Satouri, Saloua Mani-Aouadi

Publication date: 6 October 2017

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.22157

zbMATH Keywords

spectral elementsStokes equationDarcy equation

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Flows in porous media; filtration; seepage (76S05) Error bounds for boundary value problems involving PDEs (65N15) Spectral methods applied to problems in fluid mechanics (76M22) Stokes and related (Oseen, etc.) flows (76D07)

Related Items (4)

Analysis of a Navier-Stokes-Darcy coupling problem ⋮ Analysis of the parareal method with spectral deferred correction method for the Stokes/Darcy equations ⋮ Augmented spectral formulation for the Stokes problem with variable viscosity and mixed boundary conditions ⋮ An overlapping local projection stabilization for Galerkin approximations of Stokes and Darcy flow problems

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