Multiscale hybrid-mixed method for the Stokes and Brinkman equations -- the method

DOI10.1016/j.cma.2017.05.027zbMath1439.76046OpenAlexW2624074119MaRDI QIDQ2309970

Christopher Harder, Abner H. Poza, Rodolfo A. Araya, Frédéric Valentin

Publication date: 6 April 2020

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2017.05.027

zbMATH Keywords

mixed methodStokes equationhybrid methodBrinkman modelmultiscale finite element

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) 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) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items (13)

A new staggered DG method for the Brinkman problem robust in the Darcy and Stokes limits ⋮ The multiscale hybrid mixed method in general polygonal meshes ⋮ High accuracy analysis of a nonconforming rectangular finite element method for the Brinkman model ⋮ Multiscale model reduction technique for fluid flows with heterogeneous porous inclusions ⋮ A polytopal method for the Brinkman problem robust in all regimes ⋮ A semi‐hybrid‐mixed method for Stokes–Brinkman–Darcy flows with H(div)‐velocity fields ⋮ The Multiscale Hybrid-Mixed method for the Maxwell Equations in Heterogeneous Media ⋮ A globally divergence-free weak Galerkin method for Brinkman equations ⋮ A hybrid high-order discretisation of the Brinkman problem robust in the Darcy and Stokes limits ⋮ A multiscale hybrid method for Darcy's problems using mixed finite element local solvers ⋮ An adaptive multiscale hybrid-mixed method for the Oseen equations ⋮ Flux-Mortar Mixed Finite Element Methods on NonMatching Grids ⋮ Recursive formulation and parallel implementation of multiscale mixed methods

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