Local decay rates of best-approximation errors using vector-valued finite elements for fields with low regularity and integrable curl or divergence

We estimate best-approximation errors using vector-valued finite elements for fields with low regularity in the scale of the fractional-order Sobolev spaces. By assuming that the target field enjoys an additional integrability property on its curl or its divergence, we establish upper bounds on thes...

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Bibliographic Details
Main Authors: Dong, Zhaonan, Ern, Alexandre, Guermond, Jean-Luc
Format: Article
Language:English
Published: Académie des sciences 2023-05-01
Series:Comptes Rendus. Mathématique
Online Access:https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.347/
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