高效伟

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教授

博士生导师

硕士生导师

任职 : 国家重大专项专家组成员、教育部热防护专业组组长、国际华人计算力学协会理事、中国航空学会理事、中国航空学会强度与设计专业委员会委员、国际边界单元法协会会员、教育部高等学校航空航天类专业教学指导委员会委员

性别:男

毕业院校:Glasgow University

学位:博士

所在单位:力学与航空航天学院

办公地点:海宇楼403A

联系方式:0411-84706332

电子邮箱:xwgao@dlut.edu.cn

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A new approach for determining damping factors in Levenberg-Marquardt algorithm for solving an inverse heat conduction problem

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论文类型:期刊论文

发表时间:2017-04-01

发表刊物:INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER

收录刊物:SCIE、EI、Scopus

卷号:107

页面范围:747-754

ISSN号:0017-9310

关键字:Levenberg-Marquardt algorithm; Damping factor; Inverse heat conduction problem; Temperature-dependent thermal conductivity

摘要:Damping factor is a key parameter in Levenberg-Marquardt algorithm for solving inverse problems, which significantly affects the efficiency and the convergence stability of Levenberg-Marquardt algorithm and needs to be updated with the iterative number. A new approach is presented for determining damping factors in Levenberg-Marquardt algorithm in this paper, which relates the damping factor directly to the dimensionless objective function in inverse problems. Then, the accuracy, the efficiency, the convergence stability as well as the robustness of Levenberg-Marquardt algorithm are investigated in detail, for identifying temperature-dependent thermal conductivities by solving an inverse heat conduction problem. The results show that the LM algorithm using the new approach for determining damping factors is accurate and robust for identifying temperature-dependent thermal conductivities. The efficiency and the convergence stability of the LM algorithm are improved by using the new approach for determining damping factors. Moreover, the new approach is easy to implement. (C) 2016 Elsevier Ltd. All rights reserved.