TY - JOUR T1 - An Iterative Thresholding Method for the Heat Transfer Problem AU - Cen , Luyu AU - Wang , Xiaoping JO - Annals of Applied Mathematics VL - 3 SP - 264 EP - 280 PY - 2023 DA - 2023/09 SN - 39 DO - http://doi.org/10.4208/aam.OA-2023-0017 UR - https://global-sci.org/intro/article_detail/aam/21994.html KW - Optimization in heat transfer, convolution, thresholding. AB -
In this paper, we propose a simple energy decaying iterative thresholding 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 of the heat transfer problems (volume to point and volume to sides) are performed to demonstrate the effectiveness of the proposed methods.