第二类边界逆热传导问题的一种新正则化方法

A new regularizing method for backward heat conduction problem

考虑一个有界区域上第二类边界的逆热传导问题,给出了一个新的方法——多参数终值数据拟合法,并进行了收敛性分析,最后通过数值算例说明了该方法的有效性和数值稳定性.

We propose a new reconstruction scheme for the backward heat conduction problem with second kind boundary in bounded domain. The convergence analysis depending on the strategy of choosing regularizing parame- ters is given. Numerical implementations are presented to show the validity and numerical stability of this new scheme.