Point-wise and cell average error estimates of the DG and LDG methods for 1D hyperbolic and parabolic equations

DOI10.1360/N012014-00214zbMath1488.65405OpenAlexW2462395898MaRDI QIDQ5018069

Zhimin Zhang, Waixiang Cao

Publication date: 17 December 2021

Published in: SCIENTIA SINICA Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1360/n012014-00214

zbMATH Keywords

discontinuous Galerkin methodsuperconvergenceparabolic equationshyperbolic equationscell averagepoint-wise error estimate

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) 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)

Related Items (4)

Superconvergence of local discontinuous Galerkin method for one-dimensional linear Schrödinger equations ⋮ Unnamed Item ⋮ Superconvergence of Arbitrary Lagrangian--Eulerian Discontinuous Galerkin Methods for Linear Hyperbolic Equations ⋮ Superconvergence of Discontinuous Galerkin Methods for Two-Dimensional Hyperbolic Equations

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