Stokes system with solution-dependent threshold slip boundary conditions: Analysis, approximation and implementation

DOI10.1177/1081286517716222zbMath1404.76080OpenAlexW2761820086MaRDI QIDQ4562564

Taoufik Sassi, Václav Šátek, Radek Kučera, Jaroslav Haslinger

Publication date: 17 December 2018

Published in: Mathematics and Mechanics of Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1177/1081286517716222

zbMATH Keywords

Stokes systemsolution dependent slip functionthreshold slip boundary conditions

Mathematics Subject Classification ID

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) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Related Items (6)

Stokes equations under Tresca friction boundary condition: a truncated approach ⋮ Analysis of Stokes system with solution-dependent subdifferential boundary conditions ⋮ Well-Posedness of Steady-State Bingham Type System by a Quasi Variational-Hemivariational Approach ⋮ The parameter identification in the Stokes system with threshold slip boundary conditions ⋮ Numerical analysis of a variational-hemivariational inequality governed by the Stokes equations ⋮ Stokes system with local Coulomb's slip boundary conditions: analysis of discretized models and implementation

Uses Software

• Matlab
• StokesP1FEM
• KOKO Mesh Generator

Cites Work

• A Matlab mesh generator for the two-dimensional finite element method
• Solution of variational inequalities in mechanics
• The effect of the slip boundary condition on the flow of fluids in a channel
• A coherent analysis of Stokes flows under boundary conditions of friction type
• On Unsteady Internal Flows of Bingham Fluids Subject to Threshold Slip on the Impermeable Boundary
• An interior-point algorithm for the minimization arising from 3D contact problems with friction
• Direct Methods in the Theory of Elliptic Equations
• Mixed and Hybrid Finite Element Methods
• Steady solutions of the Navier–Stokes equations with threshold slip boundary conditions
• STEADY STOKES FLOWS WITH THRESHOLD SLIP BOUNDARY CONDITIONS
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