Equilibrated flux a posteriori error estimates in $L^2(H^1)$-norms for high-order discretizations of parabolic problems

DOI10.1093/imanum/dry035zbMath1467.65092arXiv1703.04987OpenAlexW2599521302MaRDI QIDQ5854351

Iain Smears, Martin Vohralík, Alexandre Ern

Publication date: 16 March 2021

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.04987

zbMATH Keywords

parabolic partial differential equationshigh-order methodsguaranteed upper bound\textit{a posteriori} error estimatespolynomial-degree robustness

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

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