Incorporating variable viscosity in vorticity-based formulations for Brinkman equations

DOI10.1016/j.crma.2019.06.006zbMath1422.65366arXiv1905.01779OpenAlexW2953086023MaRDI QIDQ2317494

David Mora, Ricardo Ruiz-Baier, Verónica Anaya, Bryan Gomez-Vargas

Publication date: 12 August 2019

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.01779

zbMATH Keywords

a priori error estimatesmixed finite element formulationBrinkman equationsBabuška-Brezzi theory

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Error bounds for boundary value problems involving PDEs (65N15) Stokes and related (Oseen, etc.) flows (76D07) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Forced convection (76R05)

Related Items (7)

Robust A Posteriori Error Analysis for Rotation-Based Formulations of the Elasticity/Poroelasticity Coupling ⋮ A vorticity-based mixed formulation for the unsteady Brinkman-Forchheimer equations ⋮ On augmented finite element formulations for the Navier-Stokes equations with vorticity and variable viscosity ⋮ Augmented spectral formulation for the Stokes problem with variable viscosity and mixed boundary conditions ⋮ Equal-order finite element method for the Stokes equations with variable viscosity ⋮ Velocity-vorticity-pressure formulation for the Oseen problem with variable viscosity ⋮ Rotation-Based Mixed Formulations for an Elasticity-Poroelasticity Interface Problem

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