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首页> 外文期刊>Journal of Heat Transfer >A Novel Methodology for Combined Parameter and Function Estimation Problems
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A Novel Methodology for Combined Parameter and Function Estimation Problems

机译：组合参数和函数估计问题的新方法

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摘要

This article presents a novel methodology, which is highly efficient and simple to imple-ment, for simultaneous retrieval of a complete set of thermal coefficients in combined parameter and function estimation problems. Moreover, the effect of correlated unknown variables on convergence performance is examined. The present methodology is a com-bination of two different classical methods: The conjugate gradient method with adjoint problem (CGMAP) and Box-Kanemasu method (BKM). The methodology uses the benefit of CGMAP in handling function estimation problems and BKM for parameter estimation problems. One of the unique features about the present method is that the correlation among the separate unknowns does not disrupt the convergence of the problem. Numeri-cal experiments using measurement errors are performed to verify the efficiency of the proposed method in solving the combined parameter and function estimation problems. The results obtained by the present approach show that the combined procedure can efficiently and reliably estimate the values of the unknown thermal coefficients.
机译：本文提出了一种新颖的方法，该方法高效且易于实现，可同时检索组合参数和函数估计问题中的完整热系数集。此外，检查了相关的未知变量对收敛性能的影响。本方法学是两种不同经典方法的组合：带伴随问题的共轭梯度法（CGMAP）和Box-Kanemasu方法（BKM）。该方法利用CGMAP的优势来处理函数估计问题，而BKM则用于参数估计问题。关于本方法的独特特征之一是各个未知数之间的相关性不会破坏问题的收敛。进行了使用测量误差的数值实验，以验证所提出方法在解决组合参数和函数估计问题中的效率。通过本方法获得的结果表明，组合过程可以有效且可靠地估计未知热系数的值。

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  • 来源
    《Journal of Heat Transfer》 |2010年第12期|p.121301.1-121301.11|共11页
  • 作者

    Hosein Molavi; Ali Hakkaki-Fard; Ramin K. Rahmani; Anahita Ayasoufi; Mehdi Molavi;

  • 作者单位

    Department of Mechanical Engineering,Tarbiat Modares University,Tehran, 14115-143, Iran;

    rnDepartment of Mechanical Engineering,McGill University MONtreal,QC H3A 2T5, Canada;

    rnDepartment of Mechanical, Industrial, and Manufacturing Engineering, University of Toledo, Toledo, OH 43606;

    rnDepartment of Mechanical, Industrial, and Manufacturing Engineering, University of Toledo, Toledo, OH 43606;

    rnDepartment of Mechanical Engineering, Azad University of Tehran, Tehran, Tehran 1777613651, Iran;

  • 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

    box-kanemasu method; conjugate gradient method; function estimation; parameter estimation;

    机译：Box-kanemasu方法;共轭梯度法功能估计;参数估计;

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