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.