Ann. Appl. Math., 39 (2023), pp. 264-280.
Published online: 2023-09
[An open-access article; the PDF is free to any online user.]
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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.
}, issn = {}, doi = {https://doi.org/10.4208/aam.OA-2023-0017}, url = {http://global-sci.org/intro/article_detail/aam/21994.html} }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.