Stable broken 𝐻(𝑐𝑢𝑟𝑙) polynomial extensions and 𝑝-robust a posteriori error estimates by broken patchwise equilibration for the curl–curl problem

DOI10.1090/mcom/3673zbMath1479.65027arXiv2005.14537OpenAlexW3204170665MaRDI QIDQ5018365

Martin Vohralík, T. Chaumont-Frelet, Alexandre Ern

Publication date: 16 December 2021

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.14537

zbMATH Keywords

finite element methodselectromagneticsa posteriori error estimateshigh order methods

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) 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)

Related Items (4)

Computational Lower Bounds of the Maxwell Eigenvalues ⋮ Asymptotically Constant-Free and Polynomial-Degree-Robust a Posteriori Estimates for Space Discretizations of the Wave Equation ⋮ 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

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