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.
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Communicated by C.C. Douglas.
This work was supported by the National Natural Science Foundation of China (10571142, 10901122 and 10971165).
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Li, Y., Li, K. Pressure projection stabilized finite element method for Navier–Stokes equations with nonlinear slip boundary conditions. Computing 87, 113–133 (2010). https://doi.org/10.1007/s00607-010-0078-z
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DOI: https://doi.org/10.1007/s00607-010-0078-z