二维稳态导热反问题的正则化解法  

Regularization Procedure for Two-dimensional Steady Heat Conduction Inverse Problems

作　　者：王登刚[1] 刘迎曦[1] 李守巨[1] 

机构地区：[1]大连理工大学工程力学系,工业装备结构分析国家重点实验室,大连116023

出　　处：《吉林大学自然科学学报》2000年第2期56-60,共5页Acta Scientiarum Naturalium Universitatis Jilinensis

基　　金：国家自然科学基金!(批准号 :5 97790 0 3 )

摘　　要：构造求解二维导热反问题的数值迭代解法 ,并以含内热源二维导热问题为背景 ,采用该迭代解法确定材料热传导系数 .在每个迭代步中采用 Tikhonov正则化方法克服反问题固有的不适定性 .数值算例表明 ,该方法可行、有效 ,不仅适用于单介质热物性参数反演问题 ,而且适用于多介质热物性参数反演问题 .A numerical iterative algorithm was presented to solve the two dimensional steady inverse heat conduction problems. The thermal conductivity of material was estimated by using this approach on the background of the two dimensional steady heat conduction with inner heat source. In the present algorithm, Tikhonov regularization method was used in every interative step to overcome the inherent ill\|posedness in inverse problems. The numerical results show that the present approach is feasible and effective. It can be used to solve the inverse problem which contains only one or more than one unknown parameters. This approach can be extended to solve the multidimensional steady or instantaneous inverse heat conduction problems.

关 键 词：反问题 正则化方法 热传导系数 二维稳态导热 

分 类 号：O551.3[理学—热学与物质分子运动论]