Maximum Norm A Posteriori Error Estimation for Parabolic Problems Using Elliptic Reconstructions

DOI10.1137/110830563zbMath1281.65121OpenAlexW1965103704MaRDI QIDQ2845600

Natalia Kopteva, Torsten Linss

Publication date: 2 September 2013

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://strathprints.strath.ac.uk/44831/

zbMATH Keywords

stabilitysingular perturbationreaction-diffusiona posteriori error estimatediscontinuous Galerkinelliptic reconstructionmaximum normCrank-Nicolsonbackward Eulersemidiscrete methodsemilinear second-order parabolic equation

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Reaction-diffusion equations (35K57) 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) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Semilinear parabolic equations (35K58)

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