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A level-set method for shape optimization. (English. Abridged French version) Zbl 1115.49306

Summary: 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.

MSC:

49Q10 Optimization of shapes other than minimal surfaces
74G15 Numerical approximation of solutions of equilibrium problems in solid mechanics
74P10 Optimization of other properties in solid mechanics
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References:

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