A topology-preserving level set method for shape optimization
نویسندگان
چکیده
منابع مشابه
A topology-preserving level set method for shape optimization
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...
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Numerical methods of shape and topology optimization based on the level set representation and on shape di erentiation make possible topology changes during the optimization process. But they do not solve the inherent problem of illposedness of shape optimization which manifests itself in the existence of many local minima, usually having di erent topologies. The reason is that the level set me...
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ژورنال
عنوان ژورنال: Journal of Computational Physics
سال: 2005
ISSN: 0021-9991
DOI: 10.1016/j.jcp.2004.10.005