The Method of Fundamental Solutions for Steady-State Heat Conduction in Nonlinear Materials

被引:0
|
作者
Karageorghis, A. [1 ]
Lesnic, D. [2 ]
机构
[1] Univ Cyprus, Dept Math & Stat, CY-1678 Nicosia, Cyprus
[2] Univ Leeds, Dept Appl Math, Leeds LS2 9JT, W Yorkshire, England
关键词
Nonlinear heat conduction; radiation; method of fundamental solutions;
D O I
暂无
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The steady-state heat conduction in heat conductors with temperature dependent thermal conductivity and mixed boundary conditions involving radiation is investigated using the method of fundamental solutions. Various computational issues related to the method are addressed and numerical results are presented and discussed for problems in two and three dimensions.
引用
收藏
页码:911 / 928
页数:18
相关论文
共 50 条
  • [1] Steady-state nonlinear heat conduction in composite materials using the method of fundamental solutions
    Karageorghis, A.
    Lesnic, D.
    COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2008, 197 (33-40) : 3122 - 3137
  • [2] The method of fundamental solutions for inverse source problems associated with the steady-state heat conduction
    Jin, Bangti
    Marin, Liviu
    INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2007, 69 (08) : 1570 - 1589
  • [3] The method of fundamental solutions for inverse problems associated with the steady-state heat conduction in the presence of sources
    Marin, Liviu
    CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, 2008, 30 (02): : 99 - 122
  • [4] Numerical manifold method for steady-state nonlinear heat conduction using Kirchhoff transformation
    LiMei Zhang
    Heng Kong
    Hong Zheng
    Science China Technological Sciences, 2024, 67 : 992 - 1006
  • [5] Homotopy method of fundamental solutions for solving nonlinear heat conduction problems
    Chang, Jen-Yi
    Tsai, Chia-Cheng
    Young, D. L.
    ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2019, 108 : 179 - 191
  • [6] Numerical manifold method for steady-state nonlinear heat conduction using Kirchhoff transformation
    Zhang, LiMei
    Kong, Heng
    Zheng, Hong
    SCIENCE CHINA-TECHNOLOGICAL SCIENCES, 2024, 67 (04) : 992 - 1006
  • [7] The method of fundamental solutions for steady-state groundwater flow problems
    Wang, F. Z.
    Zheng, K. H.
    JOURNAL OF THE CHINESE INSTITUTE OF ENGINEERS, 2016, 39 (02) : 236 - 242
  • [8] A method of fundamental solutions for transient heat conduction in layered materials
    Johansson, B. Tomas
    Lesnic, Daniel
    ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2009, 33 (12) : 1362 - 1367
  • [9] Application of the method of fundamental solutions and radial basis functions for inverse heat source problem in case of steady-state
    Kolodziej, Jan Adam
    Mierzwiczak, Magdalena
    Cialkowski, Michal
    INTERNATIONAL COMMUNICATIONS IN HEAT AND MASS TRANSFER, 2010, 37 (02) : 121 - 124
  • [10] Boundary function method for boundary identification in two-dimensional steady-state nonlinear heat conduction problems
    Qiu, Lin
    Chen, Wen
    Wang, Fajie
    Liu, Chein-Shan
    Hu, Qingsong
    ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2019, 103 : 101 - 108