Pressure projection stabilized finite element method for Navier–Stokes equations with nonlinear slip boundary conditions

Authors:
Yuan Li;Kaitai Li
Affiliations:
Wenzhou University, College of Mathematics and Information Science, Wenzhou, People’s Republic of China and Xi’an Jiaotong University, School of Science, Xi’an, People’ ...;Xi’an Jiaotong University, School of Science, Xi’an, People’s Republic of China
Venue:
Computing
Year:
2010

Citing 3
Cited 1

Stabilization of Low-order Mixed Finite Elements for the Stokes Equations

SIAM Journal on Numerical Analysis
A stabilized finite element method based on two local Gauss integrations for the Stokes equations

Journal of Computational and Applied Mathematics
Performance of several stabilized finite element methods for the Stokes equations based on the lowest equal-order pairs

Computing

Two-level pressure projection finite element methods for Navier-Stokes equations with nonlinear slip boundary conditions

Applied Numerical Mathematics

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Abstract

In this paper, we consider the pressure projection stabilized finite element method for the Navier–Stokes equation with nonlinear slip boundary conditions whose variational formulation is the variational inequality problem of the second kind with Navier–Stokes operator. The H 1 and L 2 error estimates for the velocity and the L 2 error estimate for the pressure are obtained. Finally, the numerical results are displayed to verify the theoretical analysis.