G. Allaire, F. Jouve, Anca-Maria Toader
tlooto Summary
Although this method is not specifically designed for topology optimization, it can easily handle topology changes for a very large class of objective functions and its cost is moderate since the shape is captured on a fixed Eulerian mesh.
Abstract
We study a level-set method for numerical shape optimization of elastic structures. Our approach combines the level-set algorithm of Osher and Sethian with the classical shape gradient. Although this method is not specifically designed for topology optimization, it can easily handle topology changes for a very large class of objective functions. Its cost is moderate since the shape is captured on a fixed Eulerian mesh.
Citation format
ALLAIRE, G.; JOUVE, F.; TOADER, Anca-Maria. A level-set method for shape optimization. COMPTES RENDUS MATHEMATIQUE, 2002, 334: 1125–1130.