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

  • Dimitris Vartziotis
  • Benjamin Himpel


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.


smoothing quality metric quality measure finite element method global optimization optimization-based method GETMe 


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Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  1. 1.Department for Mathematical Research & ServicesTWT GmbH Science & InnovationNeuhausenGermany
  2. 2.Digital Engineering, Research CenterNIKI Ltd.KatsikaGreece

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