A posteriori error estimates for time-dependent reaction-diffusion problems based on the Payne-Weinberger inequality

DOI10.3934/dcds.2015.35.2659zbMath1334.35126arXiv1312.4361OpenAlexW2963157555WikidataQ110234364 ScholiaQ110234364MaRDI QIDQ255642

Svetlana Matculevich, Pekka Neittaanmäki, Sergey I. Repin

Publication date: 9 March 2016

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.4361

zbMATH Keywords

parabolic equationsa posteriori estimatesPoincaré type estimates

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) A priori estimates in context of PDEs (35B45) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (6)

Explicit constants in Poincaré-type inequalities for simplicial domains and application to a posteriori estimates ⋮ Guaranteed error bounds and local indicators for adaptive solvers using 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 ⋮ Functional approach to the error control in adaptive IgA schemes for elliptic boundary value problems ⋮ Poincaré Type Inequalities for Vector Functions with Zero Mean Normal Traces on the Boundary and Applications to Interpolation Methods

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