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A sufficient condition of validity for cubic Bezier triangles

Xu, Jing, Andrey N. Chernikov

24th International Meshing Roundtable, Elsevier Ltd., pp.Research Note, October 12-14 2015


24th International Meshing Roundtable
Austin, TX
October 12-14,2014

Department of Computer Science, Old Dominion University, Norfolk, 23508, VA, USA

The development of robust high-order finite element methods requires valid curvilinear discretizations for complex geometries without user intervention. The existing element validity verification methods are computationally and geometrically complicated. In this note, an efficient element validity verification procedure is developed for cubic Bezier triangles, and this verification can be extended to polynomials of arbitrary order Bezier elements.

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