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

导出

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.

作者 A.Karageorghis D.Lesnic

机构地区 Department of Mathematics and Statistics Department of Applied Mathematics

出处《Communications in Computational Physics》 SCIE 2008年第9期911-928,共18页 计算物理通讯（英文）

关键词 Nonlinear heat conduction RADIATION method of fundamental solutions

分类号 O17 [理学—基础数学]

引文网络
相关文献

1MA Rui,XIONG Xiangtuan,AMIN Mohammed Elmustafa.The Method of Fundamental Solution for a Radially Symmetric Heat Conduction Problem with Variable Coefficient[J].Journal of Partial Differential Equations,2021,34(3):258-267.
2刘茜美,刘孟丽,王耀荣,黄凯,雷鸣,刘文军,魏志义.Mode-locked all-fiber laser with high stability based on cobalt oxyfluoride[J].Chinese Optics Letters,2021,19(8):75-78.
3Kue-Hong Chen,Cheng-Tsung Chen.A Novel Technique for Estimating the Numerical Error in Solving the Helmholtz Equation[J].Computers, Materials & Continua,2020(7):145-160.
4Zengtao Chen,Fajie Wang,Suifu Cheng,Guozheng Wu.Localized MFS for three‐dimensional acoustic inverse problems on complicated domains[J].International Journal of Mechanical System Dynamics,2022,2(1):143-152. 被引量：2
5M.R.Hematiyan,B.Jamshidi,M.Mohammadi.The Method of Fundamental Solutions for Two-Dimensional Elastostatic Problems with Stress Concentration and Highly Anisotropic Materials[J].Computer Modeling in Engineering & Sciences,2022(3):1349-1369.
6J.Ding,H.Y.Tian,C.S.Chen.The Recursive Formulation of Particular Solutions for Some Elliptic PDEs with Polynomial Source Functions[J].Communications in Computational Physics,2009,5(5):942-958.
7Emanuele Galiffi,Romain Tirole,Shixiong Yin,Huanan Li,Stefano Vezzoli,Paloma A.Huidobro,Mário G.Silveirinha,Riccardo Sapienza,Andrea Alù,J.B.Pendry.Photonics of time-varying media[J].Advanced Photonics,2022,4(1):30-61.
8Jan Nordstrom,Qaisar Abbas,Brittany A.Erickson,Hannes Frenander.A Flexible Boundary Procedure for Hyperbolic Problems: Multiple Penalty Terms Applied in a Domain[J].Communications in Computational Physics,2014,16(7):541-570.
9Yajing Sun,Wenping Hu.Novel machine learning framework for thermal conductivity prediction by crystal graph convolution embedded ensemble[J].SmartMat,2022,3(3):474-481. 被引量：2
10Xin FENG,Liangliang ZHANG,Yuxuan WANG,Jinming ZHANG,Han ZHANG,Yang GAO.Static response of functionally graded multilayered two-dimensional quasicrystal plates with mixed boundary conditions[J].Applied Mathematics and Mechanics(English Edition),2021,42(11):1599-1618.

Communications in Computational Physics

2008年第9期

浏览历史

内容加载中请稍等...

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

相关作者

相关机构

相关主题

浏览历史