节点文献
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
【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.
【Abstract】 According to measured data,the relationship between the unknown source function and measured 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 solution of the inverse problem was obtained by using truncated regularization method and the estimation of Hler-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;
【Key words】 heat source; inverse problem; convection-diffusion equation; truncation method;
【Key words】 heat source; inverse problem; convection-diffusion equation; truncation method;
【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
- 【文献出处】 兰州理工大学学报 ,Journal of Lanzhou University of Technology , 编辑部邮箱 ,2012年03期
- 【分类号】O175.26
- 【被引频次】1
- 【下载频次】119