Sharp Penalty Term and Time Step Bounds for the Interior Penalty Discontinuous Galerkin Method for Linear Hyperbolic Problems

DOI10.1137/16M1091290zbMath1373.65062arXiv1706.02977MaRDI QIDQ5357967

Sjoerd Geevers, J. J. W. van der Vegt

Publication date: 18 September 2017

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.02977

zbMATH Keywords

stabilitynumerical resultsMaxwell's equationsdiscontinuous Galerkin methodacoustic wave equationinterior penalty methodelastic wave equationslinear wave problemspenalty term estimatetime step estimate

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) 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) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

Related Items (2)

Dispersion properties of explicit finite element methods for wave propagation modelling on tetrahedral meshes ⋮ New Higher-Order Mass-Lumped Tetrahedral Elements for Wave Propagation Modelling

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