Carreaux Bézier-Serendip de degré arbitraire

Abstract : We define B\'ezier-Serendipity patches for quads and hexes with full symmetry properties. We give a way of constructing those patches by considering the B\'ezier setting. We show that, since the degree~5, the lack of symmetry for the Serendipity Lagrange finite elements remains a point for our patches and we show that after adding an adequate number of additional control points, we can achieve this symmetry.
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https://hal.inria.fr/hal-01078461
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Submitted on : Wednesday, October 29, 2014 - 9:57:39 AM
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Paul-Louis George, Houman Borouchaki, Nicolas Barral. Carreaux Bézier-Serendip de degré arbitraire. [Rapport de recherche] RR-8624, INRIA Paris; INRIA. 2014, pp.43. ⟨hal-01078461⟩

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