Analysis of an augmented fully-mixed approach for the coupling of quasi-Newtonian fluids and porous media

DOI10.1016/j.cma.2013.11.017zbMath1296.76147OpenAlexW2004744282MaRDI QIDQ460839

Ramiro Rebolledo, Ricardo Oyarzúa, A. M. Márquez-Durán, Gabriel N. Gatica

Publication date: 9 October 2014

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

Full work available at URL: http://hdl.handle.net/10533/129233

zbMATH Keywords

mixed finite element methodsa posteriori error analysisa priori error analysisStokes-Darcyaugmented approachtwofold saddle point formulation

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Flows in porous media; filtration; seepage (76S05) 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 (16)

A mixed elasticity formulation for fluid–poroelastic structure interaction ⋮ A fully-mixed finite element method for the Navier-Stokes/Darcy coupled problem with nonlinear viscosity ⋮ A pseudostress-based mixed-primal finite element method for stress-assisted diffusion problems in Banach spaces ⋮ A multipoint stress-flux mixed finite element method for the Stokes-Biot model ⋮ Analysis of an augmented mixed-FEM for the Navier-Stokes problem ⋮ A fully‐mixed finite element method for the coupling of the Navier–Stokes and Darcy–Forchheimer equations ⋮ A Cell-Centered Finite Volume Method for the Navier–Stokes/Biot Model ⋮ Formulation and analysis of fully-mixed methods for stress-assisted diffusion problems ⋮ A five-field augmented fully-mixed finite element method for the Navier-Stokes/Darcy coupled problem ⋮ A mixed virtual element method for the Navier–Stokes equations ⋮ A Viscosity-Splitting Method for the Navier-Stokes/ Darcy Problem ⋮ A priori and a posteriori error analyses of a pseudostress-based mixed formulation for linear elasticity ⋮ An Augmented Mixed Finite Element Method for the Navier--Stokes Equations with Variable Viscosity ⋮ A posteriori error analysis of a fully-mixed formulation for the Navier-Stokes/Darcy coupled problem with nonlinear viscosity ⋮ Stabilized mixed approximation of axisymmetric Brinkman flows ⋮ Analysis of the HDG method for the stokes–darcy coupling

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