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
  • [21] Conduction heat transfer problem solution using the method of fundamental solutions with the dual reciprocity method
    Erdonmez, Cengiz
    Saygin, Hasan
    HT2005: Proceedings of the ASME Summer Heat Transfer Conference 2005, Vol 3, 2005, : 853 - 858
  • [22] Steady-state problem of complex heat transfer
    Kovtanyuk, A. E.
    Chebotarev, A. Yu.
    COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2014, 54 (04) : 719 - 726
  • [23] An Analysis of Backward Heat Conduction Problems Using the Time Evolution Method of Fundamental Solutions
    Tsai, C. H.
    Young, D. L.
    Kolibal, J.
    CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, 2010, 66 (01): : 53 - 72
  • [24] On the sources placement in the method of fundamental solutions for time-dependent heat conduction problems
    Grabski, Jakub Krzysztof
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2021, 88 : 33 - 51
  • [25] The determination of heat sources in two dimensional inverse steady heat problems by means of the method of fundamental solutions
    Mierzwiczak, M.
    Kolodziej, J. A.
    INVERSE PROBLEMS IN SCIENCE AND ENGINEERING, 2011, 19 (06) : 777 - 792
  • [26] Analysis of Two- and Three-dimensional Steady-state Thermo-mechanical Problems Including Curved Line/Surface Heat Sources Using the Method of Fundamental Solutions
    Mohammadi, M.
    Hematiyan, M. R.
    Khosravifard, A.
    EUROPEAN JOURNAL OF COMPUTATIONAL MECHANICS, 2019, 28 (1-2): : 51 - 80
  • [27] INHOMOGENEOUS STEADY-STATE PROBLEM OF COMPLEX HEAT TRANSFER
    Chebotarev, Alexander Yu.
    Grenkin, Gleb V.
    Kovtanyuk, Andrey E.
    ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 2017, 51 (06): : 2511 - 2519
  • [28] An upper bound for the steady-state temperature for a class of heat conduction problems wherein the thermal conductivity is temperature dependent
    Saldanha da Gama, Rogerio M.
    Correa, Eduardo D.
    Martins-Costa, Maria Laura
    INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 2013, 69 : 77 - 83
  • [29] The method of fundamental solutions for nonlinear elliptic problems
    Li, Xiaolin
    Zhu, Jialin
    ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2009, 33 (03) : 322 - 329
  • [30] Solution of direct and inverse conduction heat transfer problems using the method of fundamental solutions and differential evolution
    Basilio, Adam
    Lobato, Fran Sergio
    Arouca, Fabio de Oliveira
    ENGINEERING COMPUTATIONS, 2020, 37 (09) : 3293 - 3319