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Enhanced least square approach for solving inverse boundary heat conduction problems

机译：增强的最小二乘方法解决逆边界传热问题

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Presented paper refers to solution of the boundary inverse heat conduction problems (BIHCP). Analyzed problems involves identification of transient heat fluxes and temperature fields within and on the boundaries of the body. This class of inverse problems refers to the several importnat practival applications as identification of temperatures field and heat fluxes within thermal engines, turbines and furnaces, identificationof interphase location during casting and welding processes etc. Inverse problems belong to the class of ill posed problems. It mans, that solutionof the problem is usually extremely sensitive on inaccuracies of input data, e.g. measurements errors. To stabilize solution of ill posed problem special mathematical technnques have to be applied. Several methods are used to stabilize solution of inverse problems. The most widely used are regularization method and the least squares methods. Presented work shows the possibility of applying of the least squares adjustement methods for identification of boundary transient heat fluxes and temperature within the body. Two versions of the method: standard and enhanced are herein analyzed. Sample results of identification are presented.

机译：本文提出了边界逆导热问题（BIHCP）的解决方案。分析的问题涉及识别身体边界之内和之上的瞬态热通量和温度场。这类反问题是指一些重要的实际应用，例如识别热机，涡轮机和熔炉内的温度场和热通量，识别铸造和焊接过程中的相间位置等。反问题属于不适定问题。它认为，解决问题的方法通常对输入数据的不准确性极为敏感，例如测量误差。为了稳定不适定问题的解决方案，必须应用特殊的数学技术。有几种方法可以用来稳定反问题的求解。使用最广泛的是正则化方法和最小二乘法。目前的工作表明了应用最小二乘平差方法来识别边界瞬变热通量和体内温度的可能性。本文分析了该方法的两个版本：标准版本和增强版本。介绍了鉴定的样本结果。

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《》|1996年|p.461-470|共10页
会议地点 Udine(IT)
作者
J. Skorek;
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正文语种 eng
中图分类能源与动力工程;
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机译：用小波对偶最小二乘法求解轴对称逆导热问题

Enhanced least square approach for solving inverse boundary heat conduction problems

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