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

被引：0
|
作者：
D. O. Protektor
V. M. Kolodyazhny
D. O. Lisin
O. Yu. Lisina
机构：
[1] V. N. Karazin Kharkiv National University,
[2] Kharkiv National Automobile and Highway University,undefined
来源：
Cybernetics and Systems Analysis | 2021年 / 57卷
关键词：
meshless method; boundary-value problems; anisotropic materials; dual reciprocity method; method of fundamental solution; anisotropic radial basis functions;
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学科分类号：
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：10
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