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Lepp-WCentroid method for tetrahedral mesh improvement

Rodriguez-Moreno, Pedro A., Maria-Cecilia Rivara

Research Notes, 26th International Meshing Roundtable, Sandia National Laboratories, September 18-21 2017

INTERNATIONAL
MESHING
ROUNTABLE

26th International Meshing Roundtable
Barcelona, Spain
September 18-21, 2017

Pedro A. Rodriguez-Moreno, Universidad del Bio-Bio, CL, prodrigu@ubiobio.cl
Maria-Cecilia Rivara, Universidad de Chile, CL, mcrivara@dcc.uchile.cl

Research Note Abstract
In this paper we propose an improved Lepp-centroid algorithm for the refinement of 3D triangulations which quickly increases the proportion of better tetrahedra in the mesh. This generalizes and improves previous Lepp-bisection algorithm in three-dimensions. We also study the practical behavior of the algorithm. The algorithm is a simple and fast mesh refinement tool for adaptive finite element methods. This has also great potential to be combined with local mesh improvement operations to quickly eliminate bad quality tetrahedra.

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