An Iterative Thresholding Method for the Heat Transfer Problem

An Iterative Thresholding Method for the Heat Transfer Problem

Year:    2023

Author:    Luyu Cen, Xiaoping Wang

Annals of Applied Mathematics, Vol. 39 (2023), Iss. 3 : pp. 264–280

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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

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

Annals of Applied Mathematics, Vol. 39 (2023), Iss. 3 : pp. 264–280

Published online:    2023-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    17

Keywords:    Optimization in heat transfer convolution thresholding.

Author Details

Luyu Cen

Xiaoping Wang

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    https://doi.org/10.1016/j.jcp.2024.113119 [Citations: 0]