A gradient descent method for solving an inverse coefficient heat conduction problem

被引：0
|
作者：
S. I. Kabanikhin
A. Hasanov
A. V. Penenko
机构：
[1] Russian Academy of Sciences,S. L. Sobolev Institute of Mathematics, Siberian Branch
[2] Kocaeli University,Applied Mathematical Sciences Research Center
来源：
Numerical Analysis and Applications | 2008年 / 1卷 / 1期
关键词：
coefficient identification; inverse heat conduction problem; gradient; adjoint problem; descent parameter;
D O I：
10.1134/S1995423908010047
中图分类号：
学科分类号：
摘要：
An iterative gradient descent method is applied to solve an inverse coefficient heat conduction problem with overdetermined boundary conditions. Theoretical estimates are derived showing how the target functional varies with varying the coefficient. These estimates are used to construct an approximation for a target functional gradient. In numerical experiments, iteration convergence rates are compared for different descent parameters.
引用
收藏
页码：34 / 45
页数：11
相关论文
共 50 条
  • [31] Determination of the interfacial heat transfer coefficient in a metal-metal system solving the inverse heat conduction problem
    Indian Inst of Technology, Kanpur, India
    Steel Res, 5 (201-208):
  • [32] A sequential conjugate gradient method to estimate heat flux for nonlinear inverse heat conduction problem
    Xiong, Ping
    Deng, Jian
    Lu, Tao
    Lu, Qi
    Liu, Yu
    Zhang, Yong
    ANNALS OF NUCLEAR ENERGY, 2020, 149
  • [33] An inverse hyperbolic heat conduction problem in estimating surface heat flux by the conjugate gradient method
    Huang, Cheng-Hung
    Wu, Hsin-Hsien
    JOURNAL OF PHYSICS D-APPLIED PHYSICS, 2006, 39 (18) : 4087 - 4096
  • [34] Distributed parameter thermal controllability: a numerical method for solving the inverse heat conduction problem
    Alaeddine, M
    Doumanidis, CC
    INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2004, 59 (07) : 945 - 961
  • [35] Solving the Axisymmetric Inverse Heat Conduction Problem by a Wavelet Dual Least Squares Method
    Cheng, Wei
    Fu, Chu-Li
    BOUNDARY VALUE PROBLEMS, 2009,
  • [36] Solving the Axisymmetric Inverse Heat Conduction Problem by a Wavelet Dual Least Squares Method
    Wei Cheng
    Chu-Li Fu
    Boundary Value Problems, 2009
  • [37] Mathematical Modeling and Method for Solving an Inverse Heat Conduction Problem via the Volterra Equation
    Yaparova, N.
    Gavrilova, T.
    APPLICATION OF MATHEMATICS IN TECHNICAL AND NATURAL SCIENCES (AMITANS'18), 2018, 2025
  • [38] Neural networks in solution of inverse coefficient heat conduction problem
    Pavlov, D.Yu.
    Vestnik Moskovskogo Universiteta. Ser. 15 Vychislitel'naya Matematika i Kibernetika, 1994, (04): : 44 - 51
  • [39] Conjugate gradient method for the hyperbolic inverse heat conduction problem with multi-variables
    Xue, Qi-Wen
    Yang, Hai-Tian
    Jisuan Wuli/Chinese Journal of Computational Physics, 2005, 22 (05): : 417 - 424
  • [40] Modification of the iteration algorithm for solving the inverse heat conduction problem
    Mavrin, S.V.
    Inzhenerno-Fizicheskii Zhurnal, 1995, 68 (03): : 494 - 499
12345