Analysis of discontinuous Galerkin methods with upwind-biased fluxes for one dimensional linear hyperbolic equations with degenerate variable coefficients

DOI10.1007/s10915-018-0831-6zbMath1419.65067OpenAlexW2892103335WikidataQ129208092 ScholiaQ129208092MaRDI QIDQ1999864

Jia Li, Xiong Meng, Boying Wu, Dazhi Zhang

Publication date: 27 June 2019

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

Full work available at URL: https://doi.org/10.1007/s10915-018-0831-6

zbMATH Keywords

error estimatesdiscontinuous Galerkin methodlinear variable coefficient hyperbolic equationupwind-biased fluxes

Mathematics Subject Classification ID

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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Degenerate hyperbolic equations (35L80)

Related Items (8)

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 ⋮ Optimal error estimates of the local discontinuous Galerkin methods based on generalized fluxes for 1D linear fifth order partial differential equations ⋮ On generalized Gauss-Radau projections and optimal error estimates of upwind-biased DG methods for the linear advection equation on special simplex meshes ⋮ Discontinuous Galerkin methods with generalized numerical fluxes for the Vlasov-viscous Burgers' system ⋮ Analysis of local discontinuous Galerkin methods with generalized numerical fluxes for linearized KdV equations ⋮ Discontinuous Galerkin Methods for Nonlinear Scalar Conservation Laws: Generalized Local Lax--Friedrichs Numerical Fluxes ⋮ Optimal error estimates of the discontinuous Galerkin method with upwind-biased fluxes for 2D linear variable coefficients hyperbolic equations

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