TY - JOUR
T1 - A priori and a posteriori estimates of the stabilized finite element methods for the incompressible flow with slip boundary conditions arising in arteriosclerosis
AU - Li, Jian
AU - Zheng, Haibiao
AU - Zou, Qingsong
N1 - Publisher Copyright:
© 2019, The Author(s).
PY - 2019/12/1
Y1 - 2019/12/1
N2 - In this paper, we develop the lower order stabilized finite element methods for the incompressible flow with the slip boundary conditions of friction type whose weak solution satisfies a variational inequality. The H1-norm for the velocity and the L2-norm for the pressure decrease with optimal convergence order. The reliable and efficient a posteriori error estimates are also derived. Finally, numerical experiments are presented to validate the theoretical results.
AB - In this paper, we develop the lower order stabilized finite element methods for the incompressible flow with the slip boundary conditions of friction type whose weak solution satisfies a variational inequality. The H1-norm for the velocity and the L2-norm for the pressure decrease with optimal convergence order. The reliable and efficient a posteriori error estimates are also derived. Finally, numerical experiments are presented to validate the theoretical results.
KW - A posteriori error estimates
KW - A priori error estimates
KW - Finite element methods
KW - Numerical experiments
KW - Slip boundary condition
KW - Stokes equations
KW - Variational inequality
UR - https://www.scopus.com/pages/publications/85071320457
U2 - 10.1186/s13662-019-2312-0
DO - 10.1186/s13662-019-2312-0
M3 - 文章
AN - SCOPUS:85071320457
SN - 1687-1839
VL - 2019
JO - Advances in Difference Equations
JF - Advances in Difference Equations
IS - 1
M1 - 374
ER -