Polynomial-degree-robust $\protect H({\protect \bf curl})$-stability of discrete minimization in a tetrahedron

We prove that the minimizer in the Nédélec polynomial space of some degree $p\ge 0$ of a discrete minimization problem performs as well as the continuous minimizer in $H({\bf curl})$, up to a constant that is independent of the polynomial degree $p$. The minimization problems are posed for fields de...

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Bibliographic Details
Main Authors: Chaumont-Frelet, Théophile, Ern, Alexandre, Vohralík, Martin
Format: Article
Language:English
Published: Académie des sciences 2021-01-01
Series:Comptes Rendus. Mathématique
Online Access:https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.133/