Computations with finite element methods for the Brinkman problem

DOI10.1007/s10596-010-9204-4zbMath1333.76051OpenAlexW2055534426MaRDI QIDQ2430876

Mika Juntunen, Rolf Stenberg, Antti Hannukainen

Publication date: 8 April 2011

Published in: Computational Geosciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10596-010-9204-4

zbMATH Keywords

Stokes equationDarcy equationNitsche's methodBrinkman equationstabilized methodsadaptive computationa posteriori estimationMINITaylor-hood

Mathematics Subject Classification ID

Stokes and related (Oseen, etc.) flows (76D07) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items

H(div)-CONFORMING FINITE ELEMENTS FOR THE BRINKMAN PROBLEM, Rigorous derivation of the effective model describing a non-isothermal fluid flow in a vertical pipe filled with porous medium, Effects of the viscous dissipation on the Darcy-Brinkman flow: rigorous derivation of the higher-order asymptotic model, A new staggered DG method for the Brinkman problem robust in the Darcy and Stokes limits, Low- and high-order accurate boundary conditions: from Stokes to Darcy porous flow modeled with standard and improved Brinkman lattice Boltzmann schemes, First-order system least-squares finite element method for singularly perturbed Darcy equations, An a posteriori error analysis of a velocity-pseudostress formulation of the generalized Stokes problem, A uniform and pressure-robust enriched Galerkin method for the Brinkman equations, A Uniformly Robust H(DIV) Weak Galerkin Finite Element Methods for Brinkman Problems, Comparison between Darcy and Brinkman laws in a fracture, Analysis of finite element methods for the Brinkman problem, A globally divergence-free weak Galerkin method for Brinkman equations, Analysis of a finite volume-finite element method for Darcy-Brinkman two-phase flows in porous media, ISOGEOMETRIC DIVERGENCE-CONFORMING B-SPLINES FOR THE DARCY–STOKES–BRINKMAN EQUATIONS, Numerical computations with \(H(\mathop{div})\)-finite elements for the Brinkman problem, Hybridized weak Galerkin finite element methods for Brinkman equations, A stable numerical algorithm for the Brinkman equations by weak Galerkin finite element methods, Numerical computation of Brinkman flow with stable mixed element method, A Dual–Mixed Finite Element Method for the Brinkman Problem, Robust BDDC algorithms for the Brinkman problem with HDG discretizations

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