Pressure projection stabilized finite element method for Stokes problem with nonlinear slip boundary conditions

DOI10.1016/j.cam.2011.02.027zbMath1285.76008OpenAlexW2026063137MaRDI QIDQ534252

Yuan Li, Kai-Tai Li

Publication date: 17 May 2011

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2011.02.027

zbMATH Keywords

variational inequalityerror estimateStokes problemnonlinear slip boundary

Mathematics Subject Classification ID

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) Numerical methods for variational inequalities and related problems (65K15)

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A pressure projection stabilized mixed finite element method for a Stokes hemivariational inequality ⋮ Existence result for a fluid structure interaction problem with friction type slip boundary condition ⋮ Numerical analysis of a characteristic stabilized finite element method for the time-dependent Navier-Stokes equations with nonlinear slip boundary conditions ⋮ Discontinuous Galerkin methods for the incompressible flow with nonlinear leak boundary conditions of friction type ⋮ Shape optimization for the Stokes hemivariational inequality with slip 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 Parallel Pressure Projection Stabilized Finite Element Method for Stokes Equation with Nonlinear Slip Boundary Conditions ⋮ Analysis of an a posteriori error estimator for a variational inequality governed by the Stokes equations ⋮ 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

Cites Work

• A coherent analysis of Stokes flows under boundary conditions of friction type
• On the Stokes equation with the leak and slip boundary conditions of friction type: regularity of solutions
• Penalty finite element method for Stokes problem with nonlinear slip boundary conditions
• A stabilized finite element method based on two local Gauss integrations for the Stokes equations
• Stabilized finite element method for the stationary Navier-Stokes equations
• Analysis of Locally Stabilized Mixed Finite Element Methods for the Stokes Problem
• Stabilization of Low-order Mixed Finite Elements for the Stokes Equations
• Une méthode d'approximation de la solution des équations de Navier-Stokes
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