Stabilized mixed approximation of axisymmetric Brinkman flows
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Publication:5254433
DOI10.1051/m2an/2015011zbMath1329.76158OpenAlexW2044440399MaRDI QIDQ5254433
Ricardo Ruiz-Baier, Verónica Anaya, Carlos Reales, David Mora
Publication date: 9 June 2015
Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1051/m2an/2015011
error estimatesaxisymmetric domainsBrinkman equationswell-posedness analysisaugmented mixed finite elements
Flows in porous media; filtration; seepage (76S05) Error bounds for boundary value problems involving PDEs (65N15) 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) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20)
Related Items (14)
A priori and a posteriori error analysis of a mixed scheme for the Brinkman problem ⋮ A new staggered DG method for the Brinkman problem robust in the Darcy and Stokes limits ⋮ A mixed virtual element method for the Brinkman problem ⋮ Partitioned coupling of advection-diffusion-reaction systems and Brinkman flows ⋮ Mixed methods for a stream-function -- vorticity formulation of the axisymmetric Brinkman equations ⋮ On a vorticity-based formulation for reaction-diffusion-Brinkman systems ⋮ A priori and a posteriori error analyses of an HDG method for the Brinkman problem ⋮ The macroelement analysis for axisymmetric Stokes equations ⋮ Second-order schemes for axisymmetric Navier-Stokes-Brinkman and transport equations modelling water filters ⋮ Approximation of the axisymmetric elasticity equations ⋮ Adaptive HDG methods for the Brinkman equations with application to optimal control ⋮ Discontinuous approximation of viscous two-phase flow in heterogeneous porous media ⋮ Discontinuous finite volume element discretization for coupled flow-transport problems arising in models of sedimentation ⋮ A new DG method for a pure-stress formulation of the Brinkman problem with strong symmetry
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