Solving non-linear inverse heat conduction problems with multi-variables in steady state via conjugate gradient method
  Revised:April 01, 2002
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DOI:10.7511/jslx20051011
KeyWord:heat conduction,inverse problem,non-linear,conjugate gradient method,multi-variables
XUE Qi-wen,YANG Hai-tian~*Analysis for Industrial Equipment,Dalian University of Technology Dalian 116023,China)
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Abstract:
      In this paper the conjugate gradient method is employed to solve non-linear inverse heat conduction problems with multi-variables in the steady state. The eight-point finite element is used for the discretization in the space system. The finite element model is given, facilitating to sensitivity analysis for non-linear direct and inverse problems. Several numerical examples are introduced to successfully verify the results in the paper. The preliminary investigation of effect of noise data and the number of sample points on the results are given. Results show that the proposed method can identify single and combined non-linear thermal parameters and boundary conditions for non-linear inverse conduction problems in the steady state with high precision.