A finite element discretization of the three-dimensional Navier–Stokes equations with mixed boundary conditions

DOI10.1051/m2an/2009035zbMath1422.76124OpenAlexW2148279431MaRDI QIDQ3647548

Rüdiger Verfürth, Christine Bernardi, Frederic Hecht

Publication date: 23 November 2009

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/194491

zbMATH Keywords

three-dimensional Navier-Stokes equationsfinite element methodsmixed boundary conditionsa posteriori error estimatesa priori error estimates

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Navier-Stokes equations (35Q30) Finite element methods applied to problems in fluid mechanics (76M10) Numerical solutions to equations with nonlinear operators (65J15)

Related Items (20)

Spectral discretization of the Navier-Stokes problem with mixed boundary conditions ⋮ Spectral discretization of time-dependent vorticity-velocity-pressure formulation of the Navier-Stokes equations ⋮ Resolution and implementation of the nonstationary vorticity velocity pressure formulation of the Navier-Stokes equations ⋮ Enhanced algorithms for solving the spectral discretization of the vorticity-velocity-pressure formulation of the Navier-Stokes problem ⋮ On the weak solutions to steady Navier-Stokes equations with mixed boundary conditions ⋮ A new defect-correction method for the stationary Navier-Stokes equations based on local Gauss integration ⋮ Mixed boundary value problems for stationary magnetohydrodynamic equations of a viscous heat-conducting fluid ⋮ Spectral discretization of the time-dependent Navier-Stokes problem with mixed boundary conditions ⋮ A posteriori error estimates for the large eddy simulation applied to stationary Navier–Stokes equations ⋮ An algorithm for solving the Navier-Stokes problem with mixed boundary conditions ⋮ A posteriori error estimates for Darcy-Forchheimer's problem ⋮ Augmented spectral formulation for the Stokes problem with variable viscosity and mixed boundary conditions ⋮ Some properties on the surfaces of vector fields and its application to the Stokes and Navier-Stokes problems with mixed boundary conditions ⋮ A posteriori error analysis of the time dependent Navier-Stokes equations with mixed boundary conditions ⋮ Residual-based a posteriori error estimates for a conforming mixed finite element discretization of the Monge-Amp\`ere equation ⋮ Equatorial wave-current interactions ⋮ A posteriori error estimates for the Brinkman-Darcy-Forchheimer problem ⋮ A posteriori analysis of the Newton method applied to the Navier-Stokes problem ⋮ Finite Element Discretization of the Stokes and Navier--Stokes Equations with Boundary Conditions on the Pressure ⋮ The Navier-Stokes-Voigt equations with position-dependent slip boundary conditions

Uses Software

• FreeFem++

Cites Work

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