Regularized Perimeter for Topology Optimization
نویسنده
چکیده
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 2d and 3d 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.
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عنوان ژورنال:
- SIAM J. Control and Optimization
دوره 51 شماره
صفحات -
تاریخ انتشار 2013