TWO-LEVEL STABILIZED, NONCONFORMING FINITE-ELEMENT ALGORITHMS FOR THE STATIONARY CONDUCTION-CONVECTION EQUATIONS

被引：11
|
作者：
Su, Haiyan [1 ]
Gui, Dongwei [2 ]
Huang, Pengzhan [1 ]
Feng, Xinlong [1 ]
机构：
[1] Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Peoples R China
[2] Chinese Acad Sci, Xinjiang Inst Ecol & Geog, Cele Natl Stn Observat & Res Desert Grassland Eco, Urumqi, Peoples R China
来源：
NUMERICAL HEAT TRANSFER PART B-FUNDAMENTALS | 2014年 / 66卷 / 03期
关键词：
STOKES;
D O I：
10.1080/10407790.2014.915670
中图分类号：
O414.1 [热力学];
学科分类号：
摘要：
The two-level lowest equal-order nonconforming stabilized finite-element method for the stationary conduction-convection equations based on the local Gauss integration is considered in this article. The method includes three different corrections: Stokes correction, Oseen correction, and Newton correction. Moreover, the stability and convergence of the proposed method are deduced. Numerical results are shown to support the developed theory analysis and demonstrate the good effectiveness of the given method.
引用
收藏
页码：211 / 242
页数：32
相关论文
共 50 条
  • [31] A finite volume element formulation and error analysis for the non-stationary conduction-convection problem
    Li, Hong
    Luo, Zhendong
    Sun, Ping
    An, Jing
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2012, 396 (02) : 864 - 879
  • [32] Two-level iterative finite element methods for the stationary natural convection equations with different viscosities based on three corrections
    Huifang Zhang
    Chuanjun Chen
    Tong Zhang
    [J]. Computational and Applied Mathematics, 2023, 42
  • [33] Two-level iterative finite element methods for the stationary natural convection equations with different viscosities based on three corrections
    Zhang, Huifang
    Chen, Chuanjun
    Zhang, Tong
    [J]. COMPUTATIONAL & APPLIED MATHEMATICS, 2023, 42 (01):
  • [34] Stabilized Multiscale Nonconforming Finite Element Method for the Stationary Navier-Stokes Equations
    Zhang, Tong
    Xu, Shunwei
    Deng, Jien
    [J]. ABSTRACT AND APPLIED ANALYSIS, 2012,
  • [35] Two-level additive Schwarz preconditioners for nonconforming finite element methods
    Brenner, SC
    [J]. MATHEMATICS OF COMPUTATION, 1996, 65 (215) : 897 - 921
  • [36] Two-level stabilized finite element method for the transient Navier-Stokes equations
    Wang, Kun
    Feng, Minfu
    He, Yinnian
    [J]. INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2010, 87 (10) : 2341 - 2360
  • [37] Stabilized finite-element method for the stationary Navier-Stokes equations
    He, YN
    Wang, AW
    Mei, LQ
    [J]. JOURNAL OF ENGINEERING MATHEMATICS, 2005, 51 (04) : 367 - 380
  • [38] Stabilized finite-element method for the stationary Navier-Stokes equations
    Yinnian He
    Aiwen Wang
    Liquan Mei
    [J]. Journal of Engineering Mathematics, 2005, 51 : 367 - 380
  • [39] Two-Level Finite Element Iterative Algorithm Based on Stabilized Method for the Stationary Incompressible Magnetohydrodynamics
    Tang, Qili
    Hou, Min
    Xiao, Yajie
    Yin, Lina
    [J]. ENTROPY, 2022, 24 (10)
  • [40] Two-level defect-correction Oseen iterative stabilized finite element methods for the stationary Navier-Stokes equations
    Huang, Pengzhan
    Feng, Xinlong
    He, Yinnian
    [J]. APPLIED MATHEMATICAL MODELLING, 2013, 37 (03) : 728 - 741
12345