On Elliptic Inverse Heat Conduction Problems

M. Tadi

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On Elliptic Inverse Heat Conduction Problems

机译：椭圆逆导热问题

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This note is concerned with a new method for the solution of an elliptic inverse heat conduction problem (IHCP). It considers an elliptic system where no information is given at part of the boundary. The method is iterative in nature. Starting with an initial guess for the missing boundary condition, the algorithm obtains corrections to the assumed value at every iteration. The updating part of the algorithm is the new feature of the present algorithm. The algorithm shows good robustness to noise and can be used to obtain a good estimate of the unknown boundary condition. A number of numerical examples are used to show the applicability of the method.

机译：本说明与解决椭圆逆导热问题（IHCP）的新方法有关。它考虑了一个椭圆系统，其中在边界的一部分上没有给出任何信息。该方法本质上是迭代的。从对丢失的边界条件的初始猜测开始，该算法在每次迭代中获得对假定值的校正。该算法的更新部分是本算法的新功能。该算法对噪声显示出良好的鲁棒性，可用于获得未知边界条件的良好估计。大量的数值例子用来说明该方法的适用性。

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来源
《Journal of Heat Transfer》 |2017年第7期|074504.1-074504.4|共4页
作者
M. Tadi;
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作者单位

Department of Mechanical Engineering, University of Colorado at Denver, Campus Box 112, P.O. Box 173364, Denver, CO 80217-3364;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
elliptic problems; ill-posed problem;

机译：椭圆问题不适定问题;

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1. Inverse Thermoelastic Problem of Heat Conduction in an Elliptic Plate [J] . Sunil D. Bagde International Journal of Analysis and Applications . 2013,第2期

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2. A Solution Method of Inverse Heat Conduction Problem by a Integral Form of Non-steady Heat Conduction Equation for a Slab and its Application to the Calculation of Surface Temeprature-dependent Heat Transfer Coefficient [J] . Yuji Sano 化学工学論文集 . 2002,第3期

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3. A Solution Method of Inverse Heat Conduction Problem by a Integral Form of Non-steady Heat Conduction Equation for a Slab and its Application to the Calculation of Surface Temeprature-dependent Heat Transfer Coefficient [J] . Yuji Sano 化学工学論文集 . 2002,第3期

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4. Determination of Internal Heat Power during the Induction Heating Based on Solution of Linear Inverse Heat Conduction Problem [C] . Diligenskaya Anna, Mandra Andrey International Conference for Young Scientists Electrical Engineering, Electrotechnology, Energy . 2015

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5. Estimation of surface temperature, surface heat flux and heat transfer coefficient in the platform of inverse heat conduction problems. [D] . Soujoudi, Ramin. 2013

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7. Determination of Internal Heat Power during the Induction Heating Based on Solution of Linear Inverse Heat Conduction Problem [O] . Diligenskaya Anna, Ra Andrey 2016

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On Elliptic Inverse Heat Conduction Problems

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