Stability analysis of the Interior Penalty Discontinuous Galerkin method for the wave equation

DOI10.1051/m2an/2012061zbMath1266.65151OpenAlexW2114486670MaRDI QIDQ5299861

Cyril Agut, Julien Diaz

Publication date: 24 June 2013

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/m2an/2012061

zbMATH Keywords

wave equationCFL conditiondiscontinuous Galerkinpenalization coefficient

Mathematics Subject Classification ID

Wave equation (35L05) 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)

Related Items (7)

Energy-preserving fully-discrete schemes for nonlinear stochastic wave equations with multiplicative noise ⋮ Non-conforming curved finite element schemes for time-dependent elastic-acoustic coupled problems ⋮ Sharp Penalty Term and Time Step Bounds for the Interior Penalty Discontinuous Galerkin Method for Linear Hyperbolic Problems ⋮ Influence of periodically fluctuating material parameters on the stability of explicit high-order spectral element methods ⋮ Practical unstructured splines: algorithms, multi-patch spline spaces, and some applications to numerical analysis ⋮ Optimal penalty parameter for \(C^0\) IPDG ⋮ A High-Order Discontinuous Galerkin Method for the Poro-elasto-acoustic Problem on Polygonal and Polyhedral Grids

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