Sharply local pointwise a posteriori error estimates for parabolic problems

DOI10.1090/S0025-5718-10-02346-XzbMath1201.65169OpenAlexW1990275141MaRDI QIDQ3584828

Alan Demlow, Charalambos G. Makridakis

Publication date: 30 August 2010

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0025-5718-10-02346-x

zbMATH Keywords

parabolic partial differential equationsfinite element methodsadaptive methodsa posteriori error estimateslocal error estimatespointwise error estimatesmaximum norm error estimateslocalized error estimates

Mathematics Subject Classification ID

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) Initial value problems for second-order parabolic equations (35K15) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

Related Items

Improved maximum-norm a posteriori error estimates for linear and semilinear parabolic equations, Maximal $L^p$ analysis of finite element solutions for parabolic equations with nonsmooth coefficients in convex polyhedra, A comparison of duality and energy a posteriori estimates for $\mathrm {L}_{\infty }(0,T;\mathrm {L}_2(\varOmega ))$ in parabolic problems

Uses Software

• ALBERTA

Cites Work

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