TY  - RPRT
A1  - Amstutz, S.
A1  - Andrä, H.
T1  - A new algorithm for topology optimization using a level-set method
N2  - 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.
T3  - Berichte des Fraunhofer-Instituts für Techno- und Wirtschaftsmathematik (ITWM Report) - 78 
KW  - shape optimization
KW  - topology optimization
KW  - topological sensitivity
KW  - level-set
Y1  - 2005
UR  - https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/1663
UR  - https://nbn-resolving.org/urn:nbn:de:hbz:386-kluedo-13918
ER  -