TY - JOUR
T1 - A defect-correction stabilized finite element method for Navier-Stokes equations with friction boundary conditions
AU - Qiu, Hailong
AU - Mei, Liquan
AU - Liu, Hui
AU - Cartwright, Stephen
N1 - Publisher Copyright:
© 2014 IMACS. Published by Elsevier B.V. All rights reserved.
PY - 2015/4
Y1 - 2015/4
N2 - In this paper, we consider a defect-correction stabilized finite element method for incompressible Navier-Stokes equations with friction boundary conditions whose variational formulation is the variational inequality problem of the second kind with Navier-Stokes operator. In the defect step, an artificial viscosity parameter σ is added to the Reynolds number as a stability factor, and the Oseen iterative scheme is applied in the correction step. H1 × L2 error estimations are derived for the one-step defect-correction stabilized finite element method. In the end, some numerical results are presented to verify the theoretical analysis.
AB - In this paper, we consider a defect-correction stabilized finite element method for incompressible Navier-Stokes equations with friction boundary conditions whose variational formulation is the variational inequality problem of the second kind with Navier-Stokes operator. In the defect step, an artificial viscosity parameter σ is added to the Reynolds number as a stability factor, and the Oseen iterative scheme is applied in the correction step. H1 × L2 error estimations are derived for the one-step defect-correction stabilized finite element method. In the end, some numerical results are presented to verify the theoretical analysis.
KW - Defect-correction method
KW - Error estimates
KW - Friction boundary conditions
KW - Navier-Stokes equations
KW - Variational inequality
UR - https://www.scopus.com/pages/publications/84919400204
U2 - 10.1016/j.apnum.2014.11.009
DO - 10.1016/j.apnum.2014.11.009
M3 - 文章
AN - SCOPUS:84919400204
SN - 0168-9274
VL - 90
SP - 9
EP - 21
JO - Applied Numerical Mathematics
JF - Applied Numerical Mathematics
ER -