一类对流-扩散方程热源识别反问题  

A class of inverse problem of identification of heat source term in convection-diffusion equation

作　　者：李晓晓[1] 郭亨贞[2] 万诗敏[3] 汪训洋[1] 杨帆[1] 

机构地区：[1]兰州理工大学理学院,甘肃兰州730050 [2]兰州城市学院教育学院,甘肃兰州730070 [3]天津城市建设学院基础学科部,天津300384

出　　处：《兰州理工大学学报》2012年第3期147-149,共3页Journal of Lanzhou University of Technology

基　　金：国家自然科学基金(10671085);兰州理工大学优秀青年基金(Q201015)的资助

摘　　要：根据测量数据,利用分离变量法,得到未知源函数和测量数据之间的关系式.这类问题称为未知源识别反问题,是典型的不适定问题.利用截断正则化方法,得到问题的一个正则近似解,并且给出正则解和精确解之间具有H¨oler型的误差估计.According to measured data, the relationship between the unknown source function and meas- ured data was obtained by using variable separation method. This problem was called the inverse problem of identification of unknown source and was a typical ill-posed problem. A regularized approximate solu- tion of the inverse problem was obtained by using truncated regularization method and the estimation of Holer-type error of regularized solution from exact one was given,also.

关 键 词：热源 反问题 对流-扩散方程 截断方法 

分 类 号：O175.26[理学—数学]