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• W2040489448 abstract "In this paper, we consider optimal design problems that involve shape optimization. The goal is to determine the shape of a certain structure such that it is either as rigid or as soft as possible. To achieve this goal we combine two new ideas for an efficient solution of the problem. First, we replace the eigenvalue problem with an approximation by using inverse iteration. Second, we use a level set method but rather than propagating the front we use constrained optimization methods combined with multilevel continuation techniques. Combining these two ideas we obtain a robust and rapid method for the solution of the optimal design problem." @default.
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• W2040489448 date "2004-08-01" @default.
• W2040489448 modified "2023-09-23" @default.
• W2040489448 title "A multilevel, level-set method for optimizing eigenvalues in shape design problems" @default.
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• W2040489448 doi "https://doi.org/10.1016/j.jcp.2004.01.031" @default.
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