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提出基于两级敏度分析的稳态非线性热传导反问题的求解策略,建立了便于非线性正演和反演的有限元模型,由此可直接求导进行敏度分析,同时还考虑了非均质和分布参数的影响.对非线性热物性参数和边界条件的反演,进行了数值验证,取得了令人满意的结果,并对信息误差作了初步探讨.

参考文献

[1] 黄光远;刘小军.数学物理反问题[M].济南:山东科学技术出版社,1993
[2] Huang C H;B H Chao .An Inverse Geometry Problem in Identifying Irregular Boundary Configurations[J].International Journal of Heat and Mass Transfer,1997,40:2045-2053.
[3] Huang C H;Osizik M N .Optimal Regularization Method to Determine the Unknown Strength of a Surface Heat Source[J].International Journal of Heat and Mass Transfer,1991,12:173-178.
[4] Jarny Y;Osizik M N;Bardon J P .A General Optimization Method Using Adjoint Equation for Solving Multidimensional Inverse Heat Conduction[J].International Journal of Heat and Mass Transfer,1991,34:2911-2919.
[5] R W Lewis;K Morgan;H R Thomas.The Finite Element Method in Heat Transfer Analysis[M].Chichester:John Wiley & Son,1996
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