An analysis of the spectrum of the discontinuous Galerkin method. II: Nonuniform grids

DOI10.1016/j.apnum.2013.04.003zbMath1282.65119OpenAlexW2066850948MaRDI QIDQ2437221

Lilia Krivodonova, Ruibin Qin

Publication date: 3 March 2014

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2013.04.003

zbMATH Keywords

stabilityeigenvaluesdiscontinuous Galerkin methodnonuniform gridshyperbolic equationsCFL

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (5)

On the optimal CFL number of SSP methods for hyperbolic problems ⋮ Spatial and modal superconvergence of the discontinuous Galerkin method for linear equations ⋮ An arbitrary-order, fully implicit, hybrid kinetic solver for linear radiative transport using integral deferred correction ⋮ A note on the stability of cut cells and cell merging ⋮ GPU-accelerated discontinuous Galerkin methods on hybrid meshes

Uses Software

• Eigtool

Cites Work

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• An efficient local time-stepping scheme for solution of nonlinear conservation laws
• The Runge-Kutta discontinuous Galerkin method for conservation laws. I: Multidimensional systems
• An analysis of the spectrum of the discontinuous Galerkin method
• The local projection $P^0-P^1$-discontinuous-Galerkin finite element method for scalar conservation laws
• Time accurate local time stepping for the unsteady shallow water equations

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