An Iterative Thresholding Method for the Minimum Compliance Problem

An Iterative Thresholding Method for the Minimum Compliance Problem

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.

Author Details

Luyu Cen

Wei Hu

Dong Wang

Xiaoping Wang