RECONSTRUCTION OF THE STEFAN-BOLTZMANN COEFFICIENTS IN THE HEAT TRANSFER PROCESS

摘要：

In this paper, we investigate an inverse problem on the determination of boundary coefficients within the framework of Stefan-Boltzmann radiation conditions for the heat transfer process.The mathematical formulation for the forward and inverse problems is introduced and the uniqueness of the inverse problem is proved. The finite difference method is implemented for a discretization of the forward problem. Based on the feature of the problem, we propose a reconstruction method for solving the inverse problem. Some regularization techniques are implemented to overcome the ill-posedness of the problem. Numerical simulation shows that our reconstruction method is stable and effective.

作者: Jin Cheng Shuai Lu Masahiro Yamamoto

作者单位: School of Mathematical Sciences, Fudan University, Shanghai 200433,China,E-Institute of Scientific C School of Mathematical Sciences, Fudan University, Shanghai 200433, China Graduate School of Mathematical Sciences, University of Tokyo, Tokyo 153-8914, Japan

会议类型: 国际会议

会议名称: 2nd International Conference on Computational Methods for Thermal Problems(第二届热问题计算方法国际会议)

会议地点: 大连

会议语种:英文

页码: 251-254

在线出版日期: 2011-09-05（万方平台首次上网日期，不代表论文的发表时间）