On diffusion-uniform error estimates for the DG method applied to singularly perturbed problems

DOI10.1093/IMANUM/DRT007zbMath1305.65203OpenAlexW2260146335MaRDI QIDQ5416826

Václav Kučera

Publication date: 15 May 2014

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imanum/drt007

zbMATH Keywords

singular perturbationnonlinear convection-diffusion equationa priori error estimatescontinuationdiscontinuous Galerkin finite element methodcontinuous mathematical induction

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Singular perturbations in context of PDEs (35B25) 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 (3)

Finite element error estimates for nonlinear convective problems ⋮ Error estimates to smooth solutions of semi‐discrete discontinuous Galerkin methods with quadrature rules for scalar conservation laws ⋮ Superconvergence of the semi-discrete local discontinuous Galerkin method for nonlinear KdV-type problems

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