L ∞ (L 2)-error estimates for the DGFEM applied to convection–diffusion problems on nonconforming meshes

DOI10.1515/JNUM.2009.004zbMath1171.65064MaRDI QIDQ5322990

Veronika Sobotíková, Václav Kučera, Miloslav Feistauer, Vít Dolejší

Publication date: 23 July 2009

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

zbMATH Keywords

numerical experimentsmethod of linesnonlinear convection-diffusion equationsemidiscretizationoptimal error estimatesdiscontinuous Galerkin finite element methodnonconforming meshesinterior and boundary penalty

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) 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) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

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Stability of a combined finite element - finite volume discretization of convection-diffusion equations, A posteriori upper and lower error bound of the high-order discontinuous Galerkin method for the heat conduction equation., Mimetic finite differences for nonlinear and control problems, Error estimates for a finite element-finite volume discretization of convection-diffusion equations, Error analysis of a DG method employing ideal elements applied to a nonlinear convection–diffusion problem

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