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Shape optimization with a level set based mesh evolution method

Abstract : In this article, we discuss an approach for geometry and topology optimization of structures which benefits from an accurate description of shapes at each stage of the iterative process - by means of a mesh amenable for mechanical analyses - while retaining the whole versatility of the level set method when it comes to accounting for their evolution. The key ingredients of this method are two operators for switching from a meshed representation of a domain to an implicit one, and conversely; this notably brings into play an algorithm for generating the signed distance function to an arbitrary discrete domain, and a mesh generation algorithm for implicitly-defined geometries.
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Contributor : Charles Dapogny <>
Submitted on : Tuesday, July 22, 2014 - 2:44:36 AM
Last modification on : Friday, March 19, 2021 - 10:38:02 PM
Long-term archiving on: : Monday, November 24, 2014 - 9:41:11 PM


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  • HAL Id : hal-00933545, version 2


Grégoire Allaire, Charles Dapogny, Pascal Frey. Shape optimization with a level set based mesh evolution method. Computer Methods in Applied Mechanics and Engineering, Elsevier, 2014, pp.doi:10.1016/j.cma.2014.08.028. ⟨hal-00933545v2⟩



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