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
25th International Meshing Roundtable
Washington DC, U.S.A.
September 26-30, 2016
Amaury Johnen, University of Louvain, BE, email@example.com
Christophe Geuzaine, University of Liège, BE, firstname.lastname@example.org
Thomas Toulorge, Cemef, FR, Thomas.Toulorge@mines-paristech.fr
Jean-François Remacle, University of Louvain, BE, email@example.com
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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