OptimalL∞(L2)-Error Estimates for the DG Method Applied to Nonlinear Convection–Diffusion Problems with Nonlinear Diffusion

DOI10.1080/01630561003734917zbMath1195.65118OpenAlexW2148309039MaRDI QIDQ3578014

Václav Kučera

Publication date: 13 July 2010

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630561003734917

zbMATH Keywords

method of linesoptimal error estimatesnonlinear diffusionnonlinear convectionConvection-diffusion equationinterior and boundary penaltyDiscontinuous Galerkin finite element method

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) 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) Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations (35K61)

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