Low‐order stabilized finite element methods for the unsteady Stokes/Navier‐Stokes equations with friction boundary conditions

DOI10.1002/MMA.4738zbMath1448.65174OpenAlexW2790051245MaRDI QIDQ4643997

Changfeng Xue, Liang Xue, Hailong Qiu

Publication date: 30 May 2018

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.4738

zbMATH Keywords

error estimates stabilized method low-order element friction boundary conditions unsteady Stokes/Navier-Stokes equations

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Boundary-layer theory, separation and reattachment, higher-order effects (76D10) Stokes and related (Oseen, etc.) flows (76D07) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (6)

Stokes equations under Tresca friction boundary condition: a truncated approach ⋮ GLS methods for Stokes equations under boundary condition of friction type: formulation -- analysis -- numerical schemes and simulations ⋮ A decoupled stabilized finite element method for the time–dependent Navier–Stokes/Biot problem ⋮ A parallel subgrid stabilized algorithm for incompressible flows with nonlinear slip boundary conditions ⋮ A parallel finite element variational multiscale method for the Navier-Stokes equations with nonlinear slip boundary conditions ⋮ Lowest order virtual element approximations for transient Stokes problem on polygonal meshes

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