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REGULARIZED PERIMETER FOR TOPOLOGY OPTIMIZATION.
- Source :
-
SIAM Journal on Control & Optimization . 2013, Vol. 51 Issue 3, p2176-2199. 24p. - Publication Year :
- 2013
-
Abstract
- The perimeter functional is known to oppose serious difficulties when it has to be handled within a topology optimization procedure. In this paper, a regularized perimeter functional Perε, defined for two- and three-dimensional domains, is introduced. On one hand, the convergence of Perε to the exact perimeter when ε tends to zero is proved. On the other hand, the topological differentiability of Perε for ε > 0 is analyzed. These features lead to the design of a topology optimization algorithm suitable for perimeter-dependent objective functionals. Several numerical results illustrate the method. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 03630129
- Volume :
- 51
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- SIAM Journal on Control & Optimization
- Publication Type :
- Academic Journal
- Accession number :
- 89672415
- Full Text :
- https://doi.org/10.1137/100816997