Guaranteeda posteriori error estimation for fully discrete solutions of parabolic problems

DOI10.1002/nme.606zbMath1025.65052OpenAlexW2083509304MaRDI QIDQ4421905

D. K. Datta, Ivo M. Babuška, Theofanis Strouboulis

Publication date: 1 September 2003

Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nme.606

zbMATH Keywords

numerical examplesdiscontinuous Galerkin methodheat conduction equationLaplace equationsa posteriori error bounds

Mathematics Subject Classification ID

Heat equation (35K05) 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)

Related Items (6)

Bounds of functional outputs for parabolic problems. I: Exact bounds of the discontinuous Galerkin time discretization ⋮ Bounds of functional outputs for parabolic problems. II: Bounds of the exact solution ⋮ Guaranteed a-posteriori error estimation for semi-discrete solutions of parabolic problems based on elliptic reconstruction ⋮ Superconvergence of elliptic reconstructions of finite element solutions of parabolic problems in domains with piecewise smooth boundaries ⋮ A posteriorierror estimates forH¹-Galerkin mixed finite-element method for parabolic problems ⋮ A posteriori error estimates for fully discrete nonlinear parabolic problems

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