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
2 CESTA - Centre d'études scientifiques et techniques d'Aquitaine

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.

Domaines: Mathématiques [math]

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, 2010, 234 (6). ⟨hal-00974954⟩