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Construction et validation des éléments réduits associés á un carreau simplicial de degré arbitraire

Abstract : We give a method to constructing Lagrange Serendipity (or reduced) simplices with a detailed description of the triangles of degree 3 and 4. We indicate that higher order triangles are not candidate apart if we impose a restricted polynomial space. We show that a tetrahedron of degree 3 is a candidate while high order elements are not candidate even if a restriction in the polynomial space is considered. In addition, we propose a method for the validation of such elements, in a given mesh, where the validation means the positiveness of the jacobian
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https://hal.inria.fr/hal-01052929
Contributor : Paul-Louis George <>
Submitted on : Tuesday, July 29, 2014 - 11:11:25 AM
Last modification on : Wednesday, July 22, 2020 - 9:38:02 AM
Long-term archiving on: : Tuesday, November 25, 2014 - 7:55:25 PM

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Paul-Louis George, Houman Borouchaki, Nicolas Barral. Construction et validation des éléments réduits associés á un carreau simplicial de degré arbitraire. [Rapport de recherche] RR-8571, INRIA. 2014, pp.55. ⟨hal-01052929⟩

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