Convergence Analysis of the Nonconforming Finite Element Discretization of Stokes and Navier–Stokes Equations with Nonlinear Slip Boundary Conditions

DOI10.1080/01630563.2017.1316992zbMath1394.65144OpenAlexW2606993056MaRDI QIDQ5365283

Jules K. Djoko

Publication date: 6 October 2017

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2017.1316992

zbMATH Keywords

Navier-Stokes equationsvariational inequalityStokes equationsCrouzeix-Raviart elementa priori error estimatenonlinear slip boundary conditions

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) 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) Unilateral problems for linear elliptic equations and variational inequalities with linear elliptic operators (35J86)

Related Items (1)

The Crouzeix-Raviart element for the Stokes equations with the slip boundary condition on a curved boundary

This page was built for publication: Convergence Analysis of the Nonconforming Finite Element Discretization of Stokes and Navier–Stokes Equations with Nonlinear Slip Boundary Conditions