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Theses

Shape optimization by the level-set method

Abstract : In the context of shape optimization by the level-set method, we address some new problems : Multiple eigenvalue optimization, robust compliance optimization and buckling load optimization. We also solve two important numerical issues via the bubble method and the velocity regularisation method. This Ph-D thesis also contains a chapter that unveils some of the most important numerical problems that arise when using the level-set method and the numerical tricks that solve these issues.
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https://pastel.archives-ouvertes.fr/tel-00446039
Contributor : Frédéric de Gournay <>
Submitted on : Monday, January 11, 2010 - 8:10:10 PM
Last modification on : Monday, February 10, 2020 - 6:13:48 PM
Long-term archiving on: : Friday, June 18, 2010 - 12:43:14 AM

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  • HAL Id : tel-00446039, version 1

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Frédéric de Gournay. Shape optimization by the level-set method. Mathematics [math]. Ecole Polytechnique X, 2005. English. ⟨tel-00446039⟩

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