An Iterative Thresholding Method for the Heat Transfer Problem

Authors

  • Luyu Cen
  • Xiaoping Wang

DOI:

https://doi.org/10.4208/aam.OA-2023-0017

Keywords:

Optimization in heat transfer, convolution, thresholding.

Abstract

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.

Published

2023-09-15

Issue

Section

Articles