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Efficient computation of the minimum of shape quality measures on curvilinear finite elements

Johnen, Amaury, Christophe Geuzaine, Thomas Toulorge, Jean-François Remacle

Proceedings, 25th International Meshing Roundtable, Elsevier, Science Direct, September 26-30 2016

INTERNATIONAL
MESHING
ROUNTABLE

25th International Meshing Roundtable
Washington DC, U.S.A.
September 26-30, 2016

Amaury Johnen, University of Louvain, BE, amaury.johnen@uclouvain.be
Christophe Geuzaine, University of Liège, BE, cgeuzaine@ulg.ac.be
Thomas Toulorge, Cemef, FR, Thomas.Toulorge@mines-paristech.fr
Jean-François Remacle, University of Louvain, BE, jean-francois.remacle@uclouvain.be

Abstract
We present a method for computing robust shape quality measures defined for any order of finite elements. All type of elements are considered, including pyramids. The measures are defined as the minimum of the pointwise quality of curved elements. The computation of the minimum, based on previous work presented by Johnen et al. (2013), is very efficient. The key feature is to expand polynomial quantities into Bézier bases which allows to compute sharp bounds on the minimum of the pointwise quality measures.

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