A Meshless Method of Solving Three-Dimensional Nonstationary Heat Conduction Problems in Anisotropic Materials

被引：2
|
作者：
Protektor, D. O. [1 ]
Kolodyazhny, V. M. [2 ]
Lisin, D. O. [1 ]
Lisina, O. Yu. [1 ]
机构：
[1] Kharkov Natl Univ, Kharkiv, Ukraine
[2] Kharkiv Natl Automobile & Highway Univ, Kharkiv, Ukraine
来源：
CYBERNETICS AND SYSTEMS ANALYSIS | 2021年 / 57卷 / 03期
关键词：
meshless method; boundary-value problems; anisotropic materials; dual reciprocity method; method of fundamental solution; anisotropic radial basis functions; DATA APPROXIMATION SCHEME; RADIAL BASIS FUNCTIONS; FINITE POINT METHOD; BOUNDARY; MULTIQUADRICS;
D O I：
10.1007/s10559-021-00372-8
中图分类号：
TP3 [计算技术、计算机技术];
学科分类号：
0812 ;
摘要：
The authors describe a meshless method for solving three-dimensional nonstationary heat conduction problems in anisotropic materials. A combination of dual reciprocity method using anisotropic radial basis function and method of fundamental solutions is used to solve the boundary-value problem. The method of fundamental solutions is used to obtain the homogenous part of the solution; the dual reciprocity method with the use of anisotropic radial basis functions allows obtaining a partial solution. The article shows the results of numerical solutions of two benchmark problems obtained by the developed numerical method; average relative, average absolute, and maximum errors are calculated.
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页码：470 / 480
页数：11
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