@Article{CiCP-38-850,
author = {Feng , FangYang , Hui and Zhu , Shengfeng},
title = {Modelling and Numerical Shape and Topology Optimization for a Hemivariational Inequality in Stokes Flows with Slip Boundary Conditions},
journal = {Communications in Computational Physics},
year = {2025},
volume = {38},
number = {3},
pages = {850--886},
abstract = {<p style="text-align: justify;">This paper focuses on modelling and numerical shape and topology optimization for a nonlinear hemivariational inequality in a Stokes flow with contact and
frictional conditions. For the energy functional to be minimized subject to geometric
volume constraint, we present shape sensitivity analysis and propose a volume preserving gradient-type method for shape optimization. Moreover, we build a relaxed
topology optimization model for the hemivariational inequality in a Stokes fluid and
solve it by a level set method. Numerical examples are presented to verify effectiveness of the shape and topology optimization algorithms.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.OA-2024-0111},
url = {http://global-sci.org/intro/article_detail/cicp/24317.html}
}