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Efficient and Global Optimization-Based Smoothing Methods for Mixed-Volume Meshes

Vartziotis, Dimitris and Benjamin Himpel

22nd International Meshing Roundtable, Springer-Verlag, pp.293-311, October 13-16 2013


22nd International Meshing Roundtable
Orlando, FL
October 13-16,2013

TWT GmbH Science & Innovation, Department for Mathematical Research & Services, Bernhauser StraBe 40-42, 73765 Neuhausen, Germany
NIKI Ltd. Digital Engineering, Research Center, 205 Ethnikis Antistasis Street, 45500 Katsika, Ioannina, Greece

Some methods based on simple regularizing geometric element transformations have heuristically been shown to give runtime efficient and quality effective smoothing algorithms for meshes. We describe the mathematical framework and a systematic approach to global optimization-based versions of such methods for mixed volume meshes, which generalizes to arbitrary dimensions. We also identify some algorithms based on simple regularizing geometric element transformation optimizing certain global algebraic mesh quality measures.

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