Numerical Study of Stability of an Algorithm for Identifying the Thermal Conductivity in the Three-Dimensional Case

被引：0
|
作者：
Evtushenko Y.G. [1 ]
Zubov V.I. [1 ]
Albu A.F. [1 ,2 ]
机构：
[1] Federal Research Center “Computer Science and Control” of RAS, 40, Vavilov St., Moscow
[2] Moscow Institute of Physics and Technology, 9, Institutskiy per., Dolgoprudny
来源：
Journal of Mathematical Sciences | 2022年 / 267卷 / 4期
关键词：
D O I：
10.1007/s10958-022-06152-9
中图分类号：
学科分类号：
摘要：
We consider the problem of identifying the temperature-dependent thermal conductivity of a material in the three-dimensional case. We numerically study the stability of the algorithm based on the fast automatic differentiation technique. We show that a perturbation of experimental data leads to a perturbation of the sought thermal conductivity of the same order. © 2022, Springer Science+Business Media, LLC, part of Springer Nature.
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页码：474 / 482
页数：8
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