Efficient local level set method without reinitialization and its appliance to topology optimization
type: Item
instance of: scholarly article
title: Efficient local level set method without reinitialization and its appliance to topology optimization
zbMATH Open document ID: 1400.74093
DOI: 10.1155/2016/6392901
author: Yaoting Zhang
author: Wenhui Zhang
published in: Mathematical Problems in Engineering
publication date: 2018-10-12T00:00:00Z
review text: Summary: The local level set method (LLSM) is higher than the LSMs with global models in computational efficiency, because of the use of narrow-band model. The computational efficiency of the LLSM can be further increased by avoiding the reinitialization procedure by introducing a distance regularized equation (DRE). The numerical stability of the DRE can be ensured by a proposed conditionally stable difference scheme under reverse diffusion constraints. Nevertheless, the proposed method possesses no mechanism to nucleate new holes in the material domain for two-dimensional structures, so that a bidirectional evolutionary algorithm based on discrete level set functions is combined with the LLSM to replace the numerical process of hole nucleation. Numerical examples are given to show high computational efficiency and numerical stability of this algorithm for topology optimization.
Mathematics Subject Classification ID: 74P15
Mathematics Subject Classification ID: 90C59
Mathematics Subject Classification ID: 90C90
zbMATH DE Number: 6953440
Wikidata QID: Q59140878
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2016/6392901
OpenAlex ID: W2233054077
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description: scientific article; zbMATH DE number 6953440