A Polynomial-Degree-Robust A Posteriori Error Estimator for Nédélec Discretizations of Magnetostatic Problems

DOI10.1137/20M1333365zbMath1492.65307arXiv2004.08323OpenAlexW3192063817MaRDI QIDQ5009346

Sjoerd Geevers, Ilaria Perugia, Joachim Schöberl, Joscha Gedicke

Publication date: 20 August 2021

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.08323

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)

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