应用数学与计算数学学报
應用數學與計算數學學報
응용수학여계산수학학보
COMMUNICATION ON APPLIED MATHEMATICS AND COMPUTATION
2012年
3期
348-354
,共7页
逆热传导问题%不适定性%傅里叶截断%误差估计
逆熱傳導問題%不適定性%傅裏葉截斷%誤差估計
역열전도문제%불괄정성%부리협절단%오차고계
inverse heat conduction problem%ill-posed%Fourier truncation%errorestimate
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．
逆熱傳導問題是數學物理反問題中的熱點和前沿課題之一，在鋼鐵生產等領域中具有重要的應用揹景．討論一箇多層介質中的逆熱傳導問題，它是一箇極度不適定問題．通過傅裏葉截斷方法構造正則化近似解，併給齣相應的穩定性估計．
역열전도문제시수학물리반문제중적열점화전연과제지일，재강철생산등영역중구유중요적응용배경．토론일개다층개질중적역열전도문제，타시일개겁도불괄정문제．통과부리협절단방법구조정칙화근사해，병급출상응적은정성고계．
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.
