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.

引用

页数：20

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