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

Authors:
Yuan Li;Kaitai Li
Affiliations:
College of Mathematics and Information Science, Wenzhou University, Wenzhou, PR China;School of Science, Xi'an Jiaotong University, Xi'an, PR China
Venue:
Journal of Computational and Applied Mathematics
Year:
2011

Citing 2
Cited 0

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

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Abstract

In this paper, we consider the pressure projection stabilized finite element method for the Stokes problem with nonlinear slip boundary conditions whose variational formulation is the variational inequality problem of the second kind with the 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.