Computable estimates of the distance to the exact solution of the evolutionary reaction-diffusion equation

DOI10.1016/j.amc.2014.08.055zbMath1338.35244arXiv1310.4602OpenAlexW2003116777WikidataQ110224631 ScholiaQ110224631MaRDI QIDQ297728

F. Blanchet-Sadri, M. Dambrine

Publication date: 17 June 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.4602

zbMATH Keywords

error indicatorsevolutionary problemtwo-sided and guaranteed bounds of errors

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Initial-boundary value problems for second-order parabolic equations (35K20) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (7)

Guaranteed error bounds and local indicators for adaptive solvers using stabilised space-time IgA approximations to parabolic problems ⋮ Functional Type Error Control for Stabilised Space-Time IgA Approximations to Parabolic Problems ⋮ Fully reliable error control for first-order evolutionary problems ⋮ Estimates for the difference between exact and approximate solutions of parabolic equations on the basis of Poincaré inequalities for traces of functions on the boundary ⋮ On the a posteriori error analysis for linear Fokker-Planck models in convection-dominated diffusion problems ⋮ Functional approach to the error control in adaptive IgA schemes for elliptic boundary value problems ⋮ A posteriori error estimates for time-dependent reaction-diffusion problems based on the Payne-Weinberger inequality

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