Application of the Two-grid Method to a Heat Radiation Problem

被引：0
|
作者：
Jovanovic, B. [1 ]
Koleva, M. N. [2 ]
Vulkov, L. [2 ]
机构：
[1] Univ Belgrade, Fac Math, Belgrade 11001, Serbia
[2] Univ Rousse, FNSE, BG-7017 Rousse, Bulgaria
来源：
APPLICATION OF MATHEMATICS IN TECHNICAL AND NATURAL SCIENCES | 2009年 / 1186卷
关键词：
Heat radiation problem; disjoint domains; finite element method; iterations; two-grid method; convergence; EQUATIONS;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider a nonlinear elliptic boundary value problem, which describes a radiative heat transfer. This paper is concerned with the solution of the nonlinear system of equations arising from FEM approximations of the problem. We employ Newton's method to develop a new version of the two-grid method originated from O. Axelson and J. Xu. Numerical results are given to a simple problem with exact solution and to a simplified version of the physical problem.
引用
收藏
页码：352 / +
页数：2
相关论文
共 50 条
  • [31] Two-Grid Virtual Element Discretization of Quasilinear Elliptic Problem
    Chen, Fengxin
    Yang, Minghui
    Zhou, Zhaojie
    MATHEMATICAL MODELLING AND ANALYSIS, 2024, 29 (01) : 77 - 89
  • [32] A note on the convergence of the two-grid method for Toeplitz systems
    Sun, HW
    Chan, RH
    Chang, QS
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1997, 34 (01) : 11 - 18
  • [33] IS THE MULTIGRID METHOD FAULT TOLERANT? THE TWO-GRID CASE
    Ainsworth, Mark
    Glusa, Christian
    SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2017, 39 (02): : C116 - C143
  • [34] Two-grid virtual element discretization of semilinear elliptic problem
    Chen, Fengxin
    Wang, Qiming
    Zhou, Zhaojie
    APPLIED NUMERICAL MATHEMATICS, 2023, 186 : 228 - 240
  • [35] A NEW SEMIALGEBRAIC TWO-GRID METHOD FOR OSEEN PROBLEMS
    Bacq, Pierre-Loic
    Notay, Yvan
    SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2023, 45 (03): : S226 - S253
  • [36] Two-grid method for regularized frictional elastostatics problems
    Lebon, F
    ENGINEERING COMPUTATIONS, 1995, 12 (07) : 657 - 664
  • [37] A two-grid method for characteristic expanded mixed finite element solution of miscible displacement problem
    Hu, Hanzhang
    Chen, Yanping
    NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2020, 27 (03)
  • [38] THE TWO-GRID AND MULTIGRID DISCRETIZATIONS OF THE C0IPG METHOD FOR BIHARMONIC EIGENVALUE PROBLEM
    Li, Hao
    Bi, Hai
    Yang, Yidu
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2020, 25 (05): : 1775 - 1789
  • [39] Analysis of an aggregation-based algebraic two-grid method for a rotated anisotropic diffusion problem
    Chen, Meng-Huo
    Greenbaum, Anne
    NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2015, 22 (04) : 681 - 701
  • [40] A two-grid decoupled penalty finite element method for the stationary Stokes-Darcy problem
    Han, Wei-Wei
    Jiang, Yao-Lin
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2024, 136
12345