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Abstract
This paper describes a technique that enables to generate high order / curvilinear meshes in a robust fashion. Accurate estimates of jacobian bounds are used for deriving an unconstrained optimization procedure. Both 2D and 3D valid high order meshes are presented that demonstrate the efficiency of the new technique.
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Citations

Remacle, J.-F., Toulorge, T., & Lambrechts, J. (2013). Robust untangling of curvilinear meshes. In Xiangmin Jiao, Jean-Christophe Weill (ed.), Proceedings of the 21st International Meshing Roundtable (p. p. 71-83). Springer Berlin Heidelberg. https://doi.org/10.1007/978-3-642-33573-0