Year: 2023
Author: Luyu Cen, Wei Hu, Dong Wang, Xiaoping Wang
Communications in Computational Physics, Vol. 33 (2023), Iss. 4 : pp. 1189–1216
Abstract
In this paper, we propose a simple energy decaying iterative thresholding algorithm to solve the two-phase minimum compliance problem. The material domain is implicitly represented by its characteristic function, and the problem is formulated into a minimization problem by the principle of minimum complementary energy. We prove that the energy is decreasing in each iteration. Two effective continuation schemes are proposed to avoid trapping into the local minimum. Numerical results on 2D isotropic linear material 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/cicp.OA-2023-0010
Communications in Computational Physics, Vol. 33 (2023), Iss. 4 : pp. 1189–1216
Published online: 2023-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 28
Keywords: Minimum compliance convolution thresholding linear elasticity.