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A topology-preserving level set method for shape optimization
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DOI：10.1016/j.jcp.2004.10.005.png)
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摘要
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The classical level set method, which represents the boundary of the unknown geometry as the zero-level set of a function, has been shown to be very effective in solving shape optimization problems. The present work addresses the issue of using a level set representation when there are simple geometrical and topological constraints. We propose a logarithmic barrier penalty which acts to enforce the constraints, leading to an approximate solution to shape design problems. (c) 2004 Elsevier Inc. All rights reserved.
Keyword:
level set method
optimization
topology preservation
steepest descent method
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IF:
3.8
论文数:
1.6W
被引数:
7.4W
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