A Posteriori Error Bounds for Discontinuous Galerkin Methods for Quasilinear Parabolic Problems

DOI10.1007/978-3-642-11795-4_37zbMath1216.65113arXiv1001.2935OpenAlexW1565176587MaRDI QIDQ3000145

Omar Lakkis, Emmanuil H. Georgoulis

Publication date: 18 May 2011

Published in: Numerical Mathematics and Advanced Applications 2009 (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1001.2935

zbMATH Keywords

interior penalty discontinuous Galerkin methodquasilinear parabolic problema posteriori error bounds

Mathematics Subject Classification ID

Proceedings of conferences of miscellaneous specific interest (00B25) Proceedings, conferences, collections, etc. pertaining to numerical analysis (65-06) 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) Applications to the sciences (65Z05) General theory of mathematical modeling (00A71) General theory of simulation (00A72) Quasilinear parabolic equations (35K59)

Related Items (5)

Quasi-optimal and robust a posteriori error estimates in $L^{\infty}(L^{2})$ for the approximation of Allen-Cahn equations past singularities ⋮ Optimal control of a class of piecewise deterministic processes ⋮ An agglomeration-based massively parallel non-overlapping additive Schwarz preconditioner for high-order discontinuous Galerkin methods on polytopic grids ⋮ A Posteriori Error Estimates for Higher Order Space-Time Galerkin Discretizations of Nonlinear Parabolic Problems ⋮ A comparison of duality and energy a posteriori estimates for $\mathrm {L}_{\infty }(0,T;\mathrm {L}_2(\varOmega ))$ in parabolic problems

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