Weakly imposed Dirichlet boundary conditions for the Brinkman model of porous media flow

DOI10.1016/j.apnum.2008.07.003zbMath1162.76056OpenAlexW2097860180MaRDI QIDQ1015917

Peter Hansbo, Mika Juntunen

Publication date: 30 April 2009

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2008.07.003

zbMATH Keywords

Nitsche methodstabilized finite element methodsinterior penalty methodStokes-Darcy model

Mathematics Subject Classification ID

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

Related Items

A fully-mixed finite element method for the Navier-Stokes/Darcy coupled problem with nonlinear viscosity ⋮ A Uniformly Robust H(DIV) Weak Galerkin Finite Element Methods for Brinkman Problems ⋮ Computations with finite element methods for the Brinkman problem ⋮ Analysis of finite element methods for the Brinkman problem ⋮ Analysis of a pseudostress-based mixed finite element method for the Brinkman model of porous media flow ⋮ Analysis of an augmented pseudostress-based mixed formulation for a nonlinear Brinkman model of porous media flow ⋮ Weakly imposed boundary conditions for shear-rate dependent non-Newtonian fluids: application to cardiovascular flows ⋮ Numerical computations with \(H(\mathop{div})\)-finite elements for the Brinkman problem ⋮ A family of non-conforming elements and the analysis of Nitsche's method for a singularly perturbed fourth order problem ⋮ Numerical computation of Brinkman flow with stable mixed element method

Cites Work

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