多层介质中逆热传导问题的傅里叶正则化方法  

Fourier regularization method for inverse heat conduction problem in multilayer medium

作　　者：石万霞[1] 熊向团[1] 

机构地区：[1]西北师范大学数学与统计学院,兰州730070

出　　处：《应用数学与计算数学学报》2012年第3期348-354,共7页Communication on Applied Mathematics and Computation

基　　金：国家自然科学基金资助项目(11001223);教育部博士点专项基金资助项目(20106203120001);教育部科学技术重点项目基金资助项目(212179)

摘　　要：逆热传导问题是数学物理反问题中的热点和前沿课题之一,在钢铁生产等领域中具有重要的应用背景.讨论一个多层介质中的逆热传导问题,它是一个极度不适定问题.通过傅里叶截断方法构造正则化近似解,并给出相应的稳定性估计.The inverse heat conduction problem is one of the hot and advanced topics of the inverse problems in mathematical physics which has important ap- plication backgrounds in many areas such as steel production. An inverse heat conduction problem in a multilayer medium which is ill-posed is considered in this paper. The Fourier truncation method is presented, and the corresponding error estimate is proved.

关 键 词：逆热传导问题 不适定性 傅里叶截断 误差估计 

分 类 号：O241.82[理学—计算数学] O551.3[理学—数学]