Superconvergence analysis of the Runge-Kutta discontinuous Galerkin methods for a linear hyperbolic equation

DOI10.1007/s10915-020-01274-1zbMath1465.65105OpenAlexW3042250044MaRDI QIDQ785589

D. Kharzeev

Publication date: 7 August 2020

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-020-01274-1

zbMATH Keywords

superconvergencehyperbolic equationpost-processingRunge-Kutta discontinuous Galerkin method\(L^2\)-norm stability

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) 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) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Related Items (7)

Superconvergence analysis of the Runge-Kutta discontinuous Galerkin method with upwind-biased numerical flux for two-dimensional linear hyperbolic equation ⋮ L$^2$ Error Estimate to Smooth Solutions of High Order Runge--Kutta Discontinuous Galerkin Method for Scalar Nonlinear Conservation Laws with and without Sonic Points ⋮ Superconvergence analysis of the ultra-weak local discontinuous Galerkin method for one dimensional linear fifth order equations ⋮ Enforcing strong stability of explicit Runge-Kutta methods with superviscosity ⋮ On Energy Laws and Stability of Runge--Kutta Methods for Linear Seminegative Problems ⋮ Local error estimates for Runge-Kutta discontinuous Galerkin methods with upwind-biased numerical fluxes for a linear hyperbolic equation in one-dimension with discontinuous initial data ⋮ Stability of structure-aware Taylor methods for tents

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