An Energy-Based Discontinuous Galerkin Method for the Wave Equation with Advection

DOI10.1137/19M1242720zbMath1428.65050arXiv1903.06947OpenAlexW2921034323WikidataQ126858804 ScholiaQ126858804MaRDI QIDQ5242935

Daniel Appelö, Lu Zhang, Thomas M. Hagstrom

Publication date: 8 November 2019

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.06947

zbMATH Keywords

upwind methoddiscontinuous Galerkinadvective wave equation

Mathematics Subject Classification ID

Spectral methods applied to problems in fluid mechanics (76M22) 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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Supersonic flows (76J20)

Related Items (4)

An energy-based discontinuous Galerkin method for semilinear wave equations ⋮ Energy-based discontinuous Galerkin difference methods for second-order wave equations ⋮ A Conservative and Energy Stable Discontinuous Spectral Element Method for the Shifted Wave Equation in Second Order Form ⋮ Summation-by-Parts Approximations of the Second Derivative: Pseudoinverse and Revisitation of a High Order Accurate Operator

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