A topology-preserving level set method for shape optimization

نویسندگان

  • Oleg Alexandrov
  • Fadil Santosa
چکیده

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. 2004 Elsevier Inc. All rights reserved.

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تاریخ انتشار 2004