一种求解分段常数Robin系数的数值方法

摘要

In this paper, we consider a numerical method for reconstructing piecewise constant Robin co-efficients. A novel adaptive Total Varition functional is proposed based on the Tikhonov functional and Total Varition functional. The numerical expriments are presented to illustrate its distinct features.%考虑分段常数的Robin反问题的数值求解，由于TV正则化泛函在0点不可导，其数值算法的设计是很大的挑战。文章给出一种自适应的TV泛函，该泛函综合了Tikhonov正则化方法和TV正则化方法的优点。数值实验表明，该方法对分段常数的Robin反问题的恢复有较好的效果。