Guaranteed and robust L2-norm a posteriori error estimates for 1D linear advection problems

DOI10.1051/m2an/2020041zbMath1490.65270arXiv1904.10435OpenAlexW3039179570MaRDI QIDQ4958843

Martin Vohralík, Alexandre Ern, Mohammad Zakerzadeh

Publication date: 15 September 2021

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.10435

zbMATH Keywords

discontinuous Galerkin methodPetrov-Galerkin methoda posteriori error estimatelinear advection problemlocal efficiencypolynomial-degree robustnessadvection robustness

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) Linear first-order PDEs (35F05)

Uses Software

• FreeFem++

Cites Work

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