On the penalty stabilization mechanism for upwind discontinuous Galerkin formulations of first order hyperbolic systems

DOI10.1016/j.camwa.2017.08.003zbMath1397.65182arXiv1611.00102OpenAlexW2745477381MaRDI QIDQ1672669

Jesse Chan, Timothy Warburton

Publication date: 11 September 2018

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.00102

zbMATH Keywords

spectrumpenalty parameterdiscontinuous Galerkinpenalty flux

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Hydro- and aero-acoustics (76Q05) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Initial value problems for first-order hyperbolic systems (35L45)

Related Items (6)

A weight-adjusted discontinuous Galerkin method for wave propagation in coupled elastic-acoustic media ⋮ Jump penalty stabilization techniques for under-resolved turbulence in discontinuous Galerkin schemes ⋮ A weight-adjusted discontinuous Galerkin method for the poroelastic wave equation: penalty fluxes and micro-heterogeneities ⋮ A high order discontinuous Galerkin method for the symmetric form of the anisotropic viscoelastic wave equation ⋮ A new discontinuous Galerkin method for elastic waves with physically motivated numerical fluxes ⋮ A stable discontinuous Galerkin method for linear elastodynamics in 3D geometrically complex elastic solids using physics based numerical fluxes

Uses Software

• FIAT

Cites Work

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