scientific article; zbMATH DE number 6818003

zbMath1422.65227MaRDI QIDQ4597505

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Publication date: 13 December 2017

Full work available at URL: http://www.math.ualberta.ca/ijnam/Volume-14-2017/No-3-17/2017-03-02.pdf

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zbMATH Keywords

weight functionsuperconvergenceweighted normslinear hyperbolic equationssingular initial datadiscontinuous Galerkin (DG) method

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) 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)

Superconvergence analysis of the Runge-Kutta discontinuous Galerkin method with upwind-biased numerical flux for two-dimensional linear hyperbolic equation ⋮ Superconvergence of the local discontinuous Galerkin method for nonlinear convection-diffusion problems ⋮ Optimal convergence and superconvergence of semi-Lagrangian discontinuous Galerkin methods for linear convection equations in one space dimension ⋮ Superconvergence of Discontinuous Galerkin Method for Scalar Nonlinear Hyperbolic Equations ⋮ Superconvergence analysis of local discontinuous Galerkin methods for linear convection-diffusion equations in one space dimension ⋮ Superconvergence analysis of the Runge-Kutta discontinuous Galerkin methods for a linear hyperbolic equation

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