Identification of Thermal Conductivity Coefficient Using a Given Temperature Field

Albu A. F.; Zubov V. I.

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Identification of Thermal Conductivity Coefficient Using a Given Temperature Field

机译：使用给定温度场识别导热系数

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The problem of determining the temperature-dependent thermal conductivity coefficient is studied. The study is based on the Dirichlet boundary value problem for the two-dimensional nonstationary heat equation. The cost functional is defined as the rms deviation of the temperature field from experimental data. For the numerical solution of the problem, an algorithm based on the modern fast automatic differentiation technique is proposed. Examples of solving the posed problem are given.

机译：研究了确定温度依赖性导热系数的问题。该研究基于二维非间断热方程的Dirichlet边值问题。成本函数被定义为温度场从实验数据的RMS偏差。对于问题的数值解决方案，提出了一种基于现代快速自动分化技术的算法。给出了解决所提出的问题的例子。

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《Computational mathematics and mathematical physics》 |2018年第10期|共15页
作者
Albu A. F.; Zubov V. I.;
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作者单位

Russian Acad Sci Fed Res Ctr Comp Sci &

Control Dorodnicyn Comp Ctr Moscow 119333 Russia;

Russian Acad Sci Fed Res Ctr Comp Sci &

Control Dorodnicyn Comp Ctr Moscow 119333 Russia;

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正文语种 eng
中图分类计算数学;
关键词
heat conduction; inverse coefficient problems; gradient; heat equation; adjoint equations; numerical algorithm;

机译：热传导;逆系数问题;梯度;热方程;伴随方程;数值算法;

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1. Identification of Thermal Conductivity Coefficient Using a Given Temperature Field [J] . Albu A. F., Zubov V. I. Computational mathematics and mathematical physics . 2018,第10期

机译：使用给定温度场识别导热系数
2. Estimation of thermal expansion and thermal conductivity coefficients of amorphous dielectrics at high temperatures [J] . Yeganyan A. V., Kuzanyan A. S., Stathopoulos V. N. Journal of contemporary physics . 2016,第1期

机译：高温下非晶态电介质的热膨胀系数和导热系数估算
3. The Functional Identification Approach For Numerical Reconstruction Of The Temperature-dependent Thermal-conductivity Coefficient [J] . V.T. Borukhov, V.A. Tsurko, G.M. Zayats International Journal of Heat and Mass Transfer . 2009,第1a2期

机译：随温度变化的导热系数数值重构的功能识别方法
4. Identification of the Thermal Conductivity Coefficient of a Substance from a Temperature Field in a Three-Dimensional Domain [C] . Vladimir Zubov, Alla Albu International Conference on Mathematical Optimization Theory and Operations Research . 2021

机译：从三维域中的温度场识别物质的热导率系数
5. Investigation into Reduced Thermal Conductivity for Half-Heusler Alloys and Identification of Novel Multinary Chalcogenides Possessing Intrinsically Low Thermal Conductivity [D] . Hobbis, Dean. 2020

机译：半Heusler合金的导热系数降低，具有具有内在低导热率的新型多环生成剂的鉴定
6. A novel model for photothermal excitation of variable thermal conductivity semiconductor elastic medium subjected to mechanical ramp type with two-temperature theory and magnetic field [O] . Kh. Lotfy -1

机译：带有两温理论和磁场的机械斜坡型变导热系数半导体弹性介质光热激发的新模型
7. Development of Nickel Alloy Reinforced with Fused SiO2 Chilled Composites and Evaluation of Thermal Properties (Thermal Conductivity amp; Coefficient of Thermal Expansion) and Temperature Distribution by Finite Element Analysis (FEA) [O] . Joel Hemanth 2017

机译：用熔融SiO2冷却复合材料加固镍合金的研制及热性能评价（热膨胀和热膨胀系数）和通过有限元分析（FEA）的温度分布
8. Thermal Conductivities and Coefficients of Thermal Diffusion of a High-Temperature Plasma in a Uniform Magnetic Field. [R] . Kaneko, S., Yamao, A. 1980

机译：均匀磁场中高温等离子体的热导率和热扩散系数。

Identification of Thermal Conductivity Coefficient Using a Given Temperature Field

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