Shape optimized design of microwave dielectric resonators by level-set and topology gradient methods
نویسندگان
چکیده
منابع مشابه
Shape Optimized Design of Microwave Dielectric Resonators by Level-Set and Topology Gradient Methods
The finite element method is coupled with the topology gradient (TG) and levelset (LS) methods for optimizing the shape of microwave components using a computer-aided design model. On the one hand, the LS approach is based on the classical shape derivative; while on the other hand, the TG method is precisely designed for introducing new perturbations in the optimization domain. These two approa...
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Numerical methods of shape and topology optimization based on the level set representation and on shape di erentiation make possible topology changes during the optimization process. But they do not solve the inherent problem of illposedness of shape optimization which manifests itself in the existence of many local minima, usually having di erent topologies. The reason is that the level set me...
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Article history: Received 26 November 2009 Received in revised form 22 April 2010 Accepted 8 June 2010 Available online xxxx
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The classical level set method, which represents the boundary of the unknown geometry as the zero-level set of a function, has been shown to be very effective in solving shape optimization problems. The present work addresses the issue of using a level set representation when there are simple geometrical and topological constraints. We propose a logarithmic barrier penalty which acts to enforce...
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ژورنال
عنوان ژورنال: International Journal of RF and Microwave Computer-Aided Engineering
سال: 2009
ISSN: 1096-4290
DOI: 10.1002/mmce.20400