FOURIER REGULARIZATION FOR DETERMINING SURFACE HEAT FLUX FROM INTERIOR OBSERVATION BASED ON A SIDEWAYS PARABOLIC EQUATION  

作　　者：傅初黎 熊向团 李洪芳 

机构地区：[1]School of Mathematics and Statistics,Lanzhou University, Lanzhou 730000 PRc [2]School of Mathematics and Statistics,Lanzhou University, Lanzhou 730000 PRC

出　　处：《Numerical Mathematics A Journal of Chinese Universities(English Series)》2005年第3期208-216,共9页

基　　金：NNSF of China (No. 10271050)NSF of Gansu Province, China (ZS021-A25-001-Z)

摘　　要：In this paper we consider a non-standard inverse heat conduction problem for determining surface heat flux from an interior observation which appears in some applied subjects. This problem is ill-posed in the sense that the solution (if it exists)does not depend continuously on the data. A Fourier method is applied to formulate a regularized approximation solution, and some sharp error estimates are also given.In this paper we consider a non-standard inverse heat conduction problem for determining surface heat flux from an interior observation which appears in some applied subjects. This problem is ill-posed in the sense that the solution （if it exists） does not depend continuously on the data. A Fourier method is applied to formulate a regularized approximation solution, and some sharp error estimates are also given.

关 键 词：反转热传导 病态问题 Fourier调整 抛物线方程 误差估计 

分 类 号：O174.2[理学—数学]