Stabilized Finite Element Methods for a Blood Flow Model of Arteriosclerosis

被引：9
作者：
Jing, Feifei [1 ]
Li, Jian [2 ]
Chen, Zhangxin [1 ,3 ]
机构：
[1] Xi An Jiao Tong Univ, Ctr Computat Geosci, Coll Math & Stat, Xian 710049, Peoples R China
[2] Baoji Univ Arts & Sci, Inst Computat Math & Its Applicat, Baoji 721013, Peoples R China
[3] Univ Calgary, Schulich Sch Engn, Dept Chem & Petr Engn, Calgary, AB T2N 1N4, Canada
来源：
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS | 2015年 / 31卷 / 06期
关键词：
error estimates; Navier-Stokes equations; nonlinear slip boundary; stabilized method; variational inequality; NAVIER-STOKES EQUATIONS; LEAK BOUNDARY-CONDITIONS; SLIP; APPROXIMATION; REGULARITY;
D O I：
10.1002/num.22005
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, a blood flow model of arteriosclerosis, which is governed by the incompressible Navier-Stokes equations with nonlinear slip boundary conditions, is constructed and analyzed. By means of suitable numerical integration approximation for the nonlinear boundary term in this model, a discrete variational inequality for the model based on P-1 - P-1/P-0 stabilized finite elements is proposed. Optimal order error estimates are obtained. Finally, numerical examples are shown to demonstrate the validity of the theoretical analysis and the efficiency of the presented methods. (C) 2015 Wiley Periodicals, Inc.
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页码：2063 / 2079
页数：17
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