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A PDE based approach to multi-domain partitioning and quadrilateral meshing

Abstract : In this paper, we present an algorithm for partitioning any given 2d domain into regions suitable for quadrilateral meshing. It can deal with multi-domain geometries with ease, and is able to preserve the symmetry of the domain. Moreover, this method keeps the number of singularities at the junctions of the regions to a minimum. Each part of the domain, being four-sided, can then be meshed using a structured method. The partitioning stage is achieved by solving a PDE constrained problem based on the geometric properties of the domain boundaries.
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https://hal.sorbonne-universite.fr/hal-01076754
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Submitted on : Friday, February 26, 2016 - 12:14:51 PM
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  • HAL Id : hal-01076754, version 1

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Nicolas Kowalski, Franck Ledoux, Pascal Frey. A PDE based approach to multi-domain partitioning and quadrilateral meshing. 21th Int. Meshing Roundtable, Sandia Natl. Labs., Oct 2012, San Jose, United States. ⟨hal-01076754⟩

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