Velocity Extension for the Level-set Method and Multiple Eigenvalues in Shape Optimization
نویسنده
چکیده
In the context of structural optimization by the level-set method, we propose an extension of the velocity of the underlying Hamilton-Jacobi equation. The gradient method is endowed with an Hilbertian structure based on the H Sobolev space. Numerical results for compliance minimization and mechanism design shows a strong improvement of the rate of convergence of the level-set method. Another important application is the optimization of multiple eigenvalues.
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عنوان ژورنال:
- SIAM J. Control and Optimization
دوره 45 شماره
صفحات -
تاریخ انتشار 2006