Stabilized mixed finite element model for the 2D nonlinear incompressible viscoelastic fluid system

被引：0
|
作者：
Zhendong Luo
Junqiang Gao
机构：
[1] North China Electric Power University,School of Mathematics and Physics
[2] North China Electric Power University,School of Control and Computer Engineering
来源：
Boundary Value Problems | / 2017卷
关键词：
stabilized mixed finite element model; parameter-free and two local Gauss integrals; two-dimensional nonlinear incompressible viscoelastic fluid system; existence and uniqueness as well as convergence; 65N30; 35Q10;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this study, we first establish a stabilized mixed finite element (SMFE) model based on parameter-free and two local Gauss integrals for the two-dimensional (2D) nonlinear incompressible viscoelastic fluid system. And then, we prove the existence, uniqueness, and convergence of the SMFE solutions. Finally, we use a numerical example to verify the correctness of the previous theoretical results.
引用
收藏
相关论文
共 50 条
  • [21] An optimized finite element extrapolating method for 2D viscoelastic wave equation
    Xia, Hong
    Luo, Zhendong
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2017,
  • [22] A STABILIZED CHARACTERISTIC FINITE ELEMENT METHOD FOR THE VISCOELASTIC OLDROYD FLUID MOTION PROBLEM
    Zhang, Tong
    Yuan, Jinyun
    INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 2015, 12 (04) : 617 - 635
  • [23] Research on three kinds of splitting finite element schemes for 2D/3D unsteady incompressible thermomicropolar fluid equations
    Ren, Yuhang
    Liu, Demin
    INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 2023, 95 (07) : 1148 - 1173
  • [24] Stabilized mixed explicit finite element formulation for compressible and nearly-incompressible solids
    Lafontaine, N.
    Rossi, R.
    Cervera, M.
    Chiumenti, M.
    REVISTA INTERNACIONAL DE METODOS NUMERICOS PARA CALCULO Y DISENO EN INGENIERIA, 2017, 33 (1-2): : 35 - 44
  • [25] A STABILIZED MIXED FINITE ELEMENT FORMULATION FOR THE NON-STATIONARY INCOMPRESSIBLE BOUSSINESQ EQUATIONS
    Luo, Zhendong
    ACTA MATHEMATICA SCIENTIA, 2016, 36 (02) : 385 - 393
  • [26] A STABILIZED MIXED FINITE ELEMENT FORMULATION FOR THE NON-STATIONARY INCOMPRESSIBLE BOUSSINESQ EQUATIONS
    罗振东
    Acta Mathematica Scientia(English Series), 2016, 36 (02) : 385 - 393
  • [27] A Stabilized Finite Element Framework for Anisotropic Adaptive Topology Optimization of Incompressible Fluid Flows
    Nour, Wassim Abdel
    Jabbour, Joseph
    Serret, Damien
    Meliga, Philippe
    Hachem, Elie
    FLUIDS, 2023, 8 (08)
  • [28] The 2D FUPG Finite Element Model of Contaminant Transportation in Soil Considering Nonlinear Sorption
    Liu Zejia
    Zhao Jialiang
    Tang Liqun
    Liu Yiping
    2012 INTERNATIONAL CONFERENCE ON STRUCTURAL COMPUTATION AND GEOTECHNICAL MECHANICS (SCGM 2012), 2012, 5 : 262 - 267
  • [29] SUPG Approximation for the Oseen Viscoelastic Fluid Flow with Stabilized Lowest-Equal Order Mixed Finite Element Method
    Hussain, Shahid
    Batool, Afshan
    Al Mahbub, Md. Abdullah
    Nasu, Nasrin Jahan
    Yu, Jiaping
    MATHEMATICS, 2019, 7 (02)
  • [30] Application of 2D finite element model for nonlinear dynamic analysis of clamp band joint
    Qin, Zhaoye
    Cui, Delin
    Yan, Shaoze
    Chu, Fulei
    JOURNAL OF VIBRATION AND CONTROL, 2017, 23 (09) : 1480 - 1494
12345