A priori and a posteriori error analysis of a mixed scheme for the Brinkman problem

DOI10.1007/s00211-015-0758-xzbMath1396.76048OpenAlexW1136866292MaRDI QIDQ303648

Ricardo Ruiz-Baier, Ricardo Oyarzúa, Verónica Anaya, David Mora

Publication date: 22 August 2016

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00211-015-0758-x

Mathematics Subject Classification ID

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)

Related Items (22)

Analysis of a mixed DG method for stress-velocity formulation of the Stokes equations ⋮ A new staggered DG method for the Brinkman problem robust in the Darcy and Stokes limits ⋮ Error analysis for a vorticity/Bernoulli pressure formulation for the Oseen equations ⋮ A mixed virtual element method for the Brinkman problem ⋮ First-order system least-squares finite element method for singularly perturbed Darcy equations ⋮ On augmented finite element formulations for the Navier-Stokes equations with vorticity and variable viscosity ⋮ An a posteriori error analysis of a velocity-pseudostress formulation of the generalized Stokes problem ⋮ Partitioned coupling of advection-diffusion-reaction systems and Brinkman flows ⋮ An H1-conforming virtual element for Darcy and Brinkman equations ⋮ A posteriori error analysis of a fully-mixed formulation for the Brinkman-Darcy problem ⋮ 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 ⋮ Velocity-vorticity-pressure formulation for the Oseen problem with variable viscosity ⋮ A hybrid high-order discretisation of the Brinkman problem robust in the Darcy and Stokes limits ⋮ Mixed displacement-rotation-pressure formulations for linear elasticity ⋮ Adaptive HDG methods for the Brinkman equations with application to optimal control ⋮ An Augmented Mixed Finite Element Method for the Navier--Stokes Equations with Variable Viscosity ⋮ A vorticity-based fully-mixed formulation for the 3D Brinkman-Darcy problem ⋮ Incorporating variable viscosity in vorticity-based formulations for Brinkman equations ⋮ Analysis and approximation of a vorticity-velocity-pressure formulation for the Oseen equations ⋮ A new DG method for a pure-stress formulation of the Brinkman problem with strong symmetry ⋮ Stabilized mixed approximation of axisymmetric Brinkman flows

Uses Software

• MUMPS

Cites Work

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