TY - JOUR
T1 - An Iterative Thresholding Method for the Minimum Compliance Problem
AU - Cen , Luyu
AU - Hu , Wei
AU - Wang , Dong
AU - Wang , Xiaoping
JO - Communications in Computational Physics
VL - 4
SP - 1189
EP - 1216
PY - 2023
DA - 2023/05
SN - 33
DO - http://doi.org/10.4208/cicp.OA-2023-0010
UR - https://global-sci.org/intro/article_detail/cicp/21689.html
KW - Minimum compliance, convolution, thresholding, linear elasticity.
AB - <p style="text-align: justify;">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.</p>