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.
引用
收藏
页码：2063 / 2079
页数：17
相关论文
共 50 条
  • [41] A Stabilized finite element formulation for continuum models of traffic flow
    Vikram, Durgesh
    Mittal, Sanjay
    Chakroborty, Partha
    CMES - Computer Modeling in Engineering and Sciences, 2011, 79 (3-4): : 237 - 259
  • [42] Stabilized finite element formulation for incompressible flow on distorted meshes
    Foerster, Ch.
    Wall, W. A.
    Ramm, E.
    INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 2009, 60 (10) : 1103 - 1126
  • [43] Resolution of the flow in clarifiers by using a stabilized finite element method
    Vellando, P
    Puertas, J
    Colominas, I
    INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 2004, 44 (02) : 115 - 133
  • [44] STABILIZED MIXED FINITE ELEMENT METHOD FOR TRANSIENT DARCY FLOW
    Ansari, Shahab U.
    Hussain, Masroor
    Ahmad, Sarvat. M.
    Rashid, Ahmar
    Mazhar, Suleman
    TRANSACTIONS OF THE CANADIAN SOCIETY FOR MECHANICAL ENGINEERING, 2017, 41 (01) : 85 - 97
  • [45] A Stabilized Finite Element Formulation for Continuum Models of Traffic Flow
    Vikram, Durgesh
    Mittal, Sanjay
    Chakroborty, Partha
    CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, 2011, 79 (3-4): : 237 - 259
  • [46] Stabilized finite element computations with a two-dimensional continuum model for disorderly traffic flow
    Vikram, Durgesh
    Mittal, Sanjay
    Chakroborty, Partha
    COMPUTERS & FLUIDS, 2022, 232
  • [47] Adaptive finite element methods for flow problems
    Becker, R
    Braack, M
    Rannacher, R
    FOUNDATIONS OF COMPUTATIONAL MATHEMATICS, 2001, 284 : 21 - 44
  • [48] Adaptive finite element methods for compressible flow
    Burman, E
    COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2000, 190 (8-10) : 1137 - 1162
  • [49] FINITE-ELEMENT METHODS IN FLOW PROBLEMS
    HORLOCK, JH
    JOURNAL OF FLUIDS ENGINEERING-TRANSACTIONS OF THE ASME, 1974, 96 (03): : 197 - 197
  • [50] Adaptive finite element methods for turbulent flow
    Hoffman, J
    Johnson, C
    NUMERICAL MATHEMATICS AND ADVANCED APPLICATIONS, PROCEEDINGS, 2004, : 430 - 439
12345