Mixed formulation for Stokes problem with Tresca friction

DOI10.1016/j.crma.2010.10.001zbMath1205.35183arXiv1003.3352OpenAlexW2081037653MaRDI QIDQ609372

Taoufik Sassi, Mekki Ayadi, Mohamed Khaled Gdoura

Publication date: 30 November 2010

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1003.3352

zbMATH Keywords

finite elementsStokes problemnonlinear boundary conditions of Tresca friction type

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)

Related Items

Comparisons of Stokes/Oseen/Newton iteration methods for Navier-Stokes equations with friction boundary conditions ⋮ Existence result for a fluid structure interaction problem with friction type slip boundary condition ⋮ Existence and approximation for Navier–Stokes system with Tresca’s friction at the boundary and heat transfer governed by Cattaneo’s law ⋮ The numerical methods for the coupled fluid flow under the leak interface condition of the friction-type ⋮ Numerical methods for the Stokes and Navier-Stokes equations driven by threshold slip boundary conditions ⋮ On a finite element approximation of the Stokes equations under a slip boundary condition of the friction type ⋮ Two-level Brezzi-Pitkäranta discretization method based on Newton iteration for Navier-Stokes equations with friction boundary conditions ⋮ Gravity wave propagation in inhomogeneous media: wave scattering and interference process ⋮ Two-level variational multiscale finite element methods for Navier-Stokes type variational inequality problem ⋮ Two-Level Defect-Correction Method for Steady Navier-Stokes Problem with Friction Boundary Conditions ⋮ An adaptation of Nitsche's method to the Tresca friction problem ⋮ Equatorial wave-current interactions ⋮ A priori and a posteriori estimates of stabilized mixed finite volume methods for the incompressible flow arising in arteriosclerosis

Cites Work

• Unnamed Item
• The effect of the slip boundary condition on the flow of fluids in a channel
• Penalty finite element method for Stokes problem with nonlinear slip boundary conditions
• Mixed finite element approximation of 3D contact problems with given friction: Error analysis and numerical realization