An Iterative Thresholding Method for the Heat Transfer Problem

Abstract

. In this paper, we propose a simple energy decaying iterative thresh-olding algorithm to solve the heat transfer problem. The material domain is implicitly represented by its characteristic function, and the problem is formulated into a minimum-minimum problem. We prove that the energy is decreasing in each iteration. Numerical experiments for two types the heat transfer problems (volume to point and volume to sides) are performed to demonstrate the effectiveness of the proposed methods.