An equilibrated a posteriori error estimator for arbitrary-order Nédélec elements for magnetostatic problems

DOI10.1007/s10915-020-01224-xzbMath1442.65369arXiv1909.01853OpenAlexW3035086458WikidataQ97093880 ScholiaQ97093880MaRDI QIDQ2189663

Sjoerd Geevers, Joscha Gedicke, Ilaria Perugia

Publication date: 16 June 2020

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.01853

zbMATH Keywords

a posteriori error analysisequilibration principlehigh-order Nédélec elementsmagnetostatic problem

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Electro- and magnetostatics (78A30)

Related Items (5)

A simple equilibration procedure leading to polynomial-degree-robust a posteriori error estimators for the curl-curl problem ⋮ \(p\) -Robust Equilibrated Flux Reconstruction in \(\boldsymbol{H}(\textrm{curl})\) Based on Local Minimizations: Application to a Posteriori Analysis of the Curl-Curl Problem ⋮ Adaptive virtual element methods with equilibrated fluxes ⋮ A Polynomial-Degree-Robust A Posteriori Error Estimator for Nédélec Discretizations of Magnetostatic Problems ⋮ Stable broken 𝐻(𝑐𝑢𝑟𝑙) polynomial extensions and 𝑝-robust a posteriori error estimates by broken patchwise equilibration for the curl–curl problem

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