On generalized Gauss-Radau projections and optimal error estimates of upwind-biased DG methods for the linear advection equation on special simplex meshes

DOI10.1007/s10915-023-02166-wzbMath1529.65085MaRDI QIDQ6101545

Yulong Xing, Zheng Sun

Publication date: 20 June 2023

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

zbMATH Keywords

optimal error estimatesdiscontinuous Galerkin methodsupwind-biased fluxesglobal projectionsgeneralized Gauss-Radau projections

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) 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) Numerical quadrature and cubature formulas (65D32)

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