A new algorithm for topology optimization using a level-set method

  • The level-set method has been recently introduced in the field of shape optimization, enabling a smooth representation of the boundaries on a fixed mesh and therefore leading to fast numerical algorithms. However, most of these algorithms use a Hamilton-Jacobi equation to connect the evolution of the level-set function with the deformation of the contours, and consequently they cannot create any new holes in the domain (at least in 2D). In this work, we propose an evolution equation for the level-set function based on a generalization of the concept of topological gradient. This results in a new algorithm allowing for all kinds of topology changes.

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Metadaten
Author:S. Amstutz, H. Andrä
URN (permanent link):urn:nbn:de:hbz:386-kluedo-13918
Serie (Series number):Berichte des Fraunhofer-Instituts für Techno- und Wirtschaftsmathematik (ITWM Report) (78)
Document Type:Report
Language of publication:English
Year of Completion:2005
Year of Publication:2005
Publishing Institute:Fraunhofer-Institut für Techno- und Wirtschaftsmathematik
Tag:level-set; shape optimization; topological sensitivity; topology optimization
Faculties / Organisational entities:Fraunhofer (ITWM)
DDC-Cassification:510 Mathematik

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