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 - <p style="text-align: justify;">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.</p>