Equivalence of local-best and global-best approximations in \(\boldsymbol{H}(\mathrm{curl})\)

DOI10.1007/s10092-021-00430-9zbMath1490.65264OpenAlexW3033709894WikidataQ114228533 ScholiaQ114228533MaRDI QIDQ2059727

Martin Vohralík, T. Chaumont-Frelet

Publication date: 14 December 2021

Published in: Calcolo (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10092-021-00430-9

zbMATH Keywords

finite element methoda posteriori error estimateedge elementsa priori error estimateminimal regularityconstrained approximationSobolev space \(\boldsymbol{H}(\mathrm{curl})\)tangential trace continuityunconstrained approximation

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Best approximation, Chebyshev systems (41A50) Numerical interpolation (65D05) Approximation by polynomials (41A10)

Related Items (1)

\(p\) -Robust Equilibrated Flux Reconstruction in \(\boldsymbol{H}(\textrm{curl})\) Based on Local Minimizations: Application to a Posteriori Analysis of the Curl-Curl Problem

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