Error estimates for Stokes problem with Tresca friction conditions

DOI10.1051/m2an/2014001zbMath1381.76153OpenAlexW2063057323MaRDI QIDQ2925705

Mekki Ayadi, Mohamed Khaled Gdoura, Taoufik Sassi, Leonardo Baffico

Publication date: 17 October 2014

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

Full work available at URL: https://doi.org/10.1051/m2an/2014001

zbMATH Keywords

error estimatesvariational inequalityStokes problemmixed finite elementTresca friction

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Error bounds for boundary value problems involving PDEs (65N15) Stokes and related (Oseen, etc.) flows (76D07) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10) Unilateral problems for nonlinear elliptic equations and variational inequalities with nonlinear elliptic operators (35J87)

Related Items (19)

Unilateral problem for the Stokes equations: the well-posedness and finite element approximation ⋮ Stokes equations under Tresca friction boundary condition: a truncated approach ⋮ 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 ⋮ Dual strategies for solving the Stokes problem with stick-slip boundary conditions in 3D ⋮ Shape optimization for the Stokes hemivariational inequality with slip boundary condition ⋮ Numerical methods for the Stokes and Navier-Stokes equations driven by threshold slip boundary conditions ⋮ GLS methods for Stokes equations under boundary condition of friction type: formulation -- analysis -- numerical schemes and simulations ⋮ Imposing slip conditions on curved boundaries for 3D incompressible flows with a very high-order accurate finite volume scheme on polygonal meshes ⋮ A projection method based on self-adaptive rules for Stokes equations with nonlinear slip boundary conditions ⋮ A coupled model of the fluid flow with nonlinear slip Tresca boundary condition ⋮ A priori and a posteriori estimates of the stabilized finite element methods for the incompressible flow with slip boundary conditions arising in arteriosclerosis ⋮ A priori error analysis for Navier Stokes equations with slip boundary conditions of friction type ⋮ Analysis of a time implicit scheme for the Oseen model driven by nonlinear slip boundary conditions ⋮ Efficient methods for solving the Stokes problem with slip boundary conditions ⋮ An optimization approach to parameter identification in variational inequalities of second kind ⋮ Existence of contacts for the motion of a rigid body into a viscous incompressible fluid with the Tresca boundary conditions ⋮ A priori and a posteriori estimates of stabilized mixed finite volume methods for the incompressible flow arising in arteriosclerosis ⋮ Stokes problem with slip boundary conditions of friction type: error analysis of a four-field mixed variational formulation

This page was built for publication: Error estimates for Stokes problem with Tresca friction conditions