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Generation of Higher-Order Polynomial Bases of Nédélec H(curl) Finite Elements for Maxwell's Equations

Morgane Bergot 1 Patrick Lacoste 2
1 POEMS - Propagation des Ondes : Étude Mathématique et Simulation
CNRS - Centre National de la Recherche Scientifique : UMR7231, UMA - Unité de Mathématiques Appliquées, Inria Saclay - Ile de France
2 CESTA - Centre d'études scientifiques et techniques d'Aquitaine
Abstract : The goal of this study is the automatic construction of a vectorial polynomial basis for Nédélec mixed finite elements, particular, the generation of finite elements without the expression of the polynomial basis functions, using symbolic calculus: the exhibition of basis functions has no practical interest.
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https://hal-ensta-paris.archives-ouvertes.fr//hal-00974954
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Submitted on : Monday, April 7, 2014 - 4:43:30 PM
Last modification on : Wednesday, July 3, 2019 - 10:48:03 AM

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Morgane Bergot, Patrick Lacoste. Generation of Higher-Order Polynomial Bases of Nédélec H(curl) Finite Elements for Maxwell's Equations. Journal of Computational and Applied Mathematics, Elsevier, 2010, 234 (6). ⟨hal-00974954⟩

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