Pure vorticity formulation and Galerkin discretization for the Brinkman equations

DOI10.1093/IMANUM/DRW056zbMath1433.76067OpenAlexW2550007872MaRDI QIDQ4683819

Ricardo Ruiz-Baier, Verónica Anaya, David Mora

Publication date: 26 September 2018

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://ora.ox.ac.uk/objects/uuid:0b2662b5-91b6-4d54-972d-cbb3c54db7e8

zbMATH Keywords

finite elementserror analysisgeneralized Stokes problemvorticity formulationoptimal convergenceaxisymmetric domainsBrinkman equationsdecoupling of unknowns

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Error bounds for boundary value problems involving PDEs (65N15) 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) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items (9)

Error analysis for a vorticity/Bernoulli pressure formulation for the Oseen equations ⋮ Partitioned coupling of advection-diffusion-reaction systems and Brinkman flows ⋮ On a vorticity-based formulation for reaction-diffusion-Brinkman systems ⋮ Error bounds for discontinuous finite volume discretisations of Brinkman optimal control problems ⋮ Velocity-vorticity-pressure formulation for the Oseen problem with variable viscosity ⋮ Mixed displacement-rotation-pressure formulations for linear elasticity ⋮ Analysis and approximation of a vorticity-velocity-pressure formulation for the Oseen equations ⋮ Nonconforming polynomial mixed finite element for the Brinkman problem over quadrilateral meshes ⋮ Discontinuous Finite Volume Element Methods for the Optimal Control of Brinkman Equations

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