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Sequential Regularization Solution of the Inverse Heat Conduction Problem

机译：逆热传导问题的序贯正则化解

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摘要

The Inverse Heat Conduction Problem (IHCP) is defined and a sequential regularization solution is presented. Although the algorithm is developed specifically for the first-order regularization procedure, it can be extended to any order. Example calculations are presented for both the whole domain and sequential methods; similar results can be obtained for both methods. The impact of random temperature errors is also investigated. The conclusion is that the sequential procedure is much more computationally efficient and yields nearly as accurate results as the whole domain procedure. (ERA citation 10:028309)

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作者
Beck, J. V.; Blackwell, B. F.; St. Clair, C. R.;
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年度 1985
页码 1-27
总页数 27
原文格式 PDF
正文语种 eng
中图分类工业技术;
关键词
Thermal Conduction; Algorithms; Heat Flux; Numerical Solution;

机译：热传导;算法;热通量;数值解;

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专利

1. FUTURE-SEQUENTIAL REGULARIZATION METHODS FOR ILL-POSED VOLTERRA EQUATIONS - APPLICATIONS TO THE INVERSE HEAT CONDUCTION PROBLEM [J] . Lamm PK. Journal of Mathematical Analysis and Applications . 1995,第2期

机译：不适定Volterra方程组的未来序列正则化方法-在逆热传导问题中的应用
2. FUTURE-SEQUENTIAL REGULARIZATION METHODS FOR ILL-POSED VOLTERRA EQUATIONS - APPLICATIONS TO THE INVERSE HEAT CONDUCTION PROBLEM [J] . Lamm PK. Journal of Mathematical Analysis and Applications . 1995,第2期

机译：不适定Volterra方程组的未来序列正则化方法-在逆热传导问题中的应用
3. Implementation of total variation regularization-based approaches in the solution of linear inverse heat conduction problems concerning the estimation of surface heat fluxes [J] . Benjamin A. Toum, Juan C. Alvarez Hostos, Victor D. Fachinotti International Communications in Heat and Mass Transfer . 2021,第Juna期

机译：基于变化的总体变化正规方法的实施方法在表面热通量估计的线性逆热传导问题解决方案中
4. Solution of Inverse Nonlinear Heat Conduction Problem Using Regularization Technique [C] . Shouju Li, Yingxi Liu Computational Mechanics . 2004

机译：正则化技术求解非线性导热反问题
5. Real-time heat flux estimation using filter based solutions for inverse heat conduction problems [D] . Najafi, Hamidreza. 2015

机译：使用基于滤波器的解决方案实时求解逆热传导问题的热通量
6. Estimation of Surface Heat Flux and Surface Temperature during Inverse Heat Conduction under Varying Spray Parameters and Sample Initial Temperature [O] . Muhammad Aamir, Qiang Liao, Xun Zhu, -1

机译：喷雾参数和样品初始温度变化下逆导热过程中表面热通量和表面温度的估算
7. Future-Sequential Regularization Methods for III-Posed Volterra Equations Applications to the Inverse Heat Conduction Problem [O] . Lamm P.K. 1995

机译：III位置Volterra方程的逆序正则化方法在逆导热问题中的应用

Sequential Regularization Solution of the Inverse Heat Conduction Problem

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