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