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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2004
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/math/0405142 |
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Table of Contents:
- 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.