A priori and a posteriori estimates of the stabilized finite element methods for the incompressible flow with slip boundary conditions arising in arteriosclerosis

被引：1
|
作者：
Li, Jian [1 ]
Zheng, Haibiao [2 ]
Zou, Qingsong [3 ,4 ]
机构：
[1] Shaanxi Univ Sci & Technol, Sch Arts & Sci, Dept Math, Xian, Shaanxi, Peoples R China
[2] East China Normal Univ, Shanghai Key Lab Pure Math & Math Practice, Sch Math Sci, Shanghai, Peoples R China
[3] Sun Yat Sen Univ, Sch Data & Computat Sci, Guangzhou, Guangdong, Peoples R China
[4] Sun Yat Sen Univ, Guangdong Prov Key Lab Computat Sci, Guangzhou, Guangdong, Peoples R China
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2019年 / 2019卷 / 01期
关键词：
Stokes equations; Slip boundary condition; Variational inequality; Finite element methods; A priori error estimates; A posteriori error estimates; Numerical experiments; NAVIER-STOKES EQUATIONS; LOCAL GAUSS INTEGRATIONS; PRESSURE PROJECTION; ERROR ESTIMATORS; VOLUME METHODS; LEAK; APPROXIMATIONS; REGULARITY;
D O I：
10.1186/s13662-019-2312-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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 H-1-norm for the velocity and the L-2-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.
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页数：20
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