$L^2$ stable discontinuous Galerkin methods for one-dimensional two-way wave equations

DOI10.1090/mcom/3090zbMath1352.65338OpenAlexW2317341383MaRDI QIDQ2826677

Yingda Cheng, Ching-Shan Chou, Fengyan Li, Yulong Xing

Publication date: 18 October 2016

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/mcom/3090

zbMATH Keywords

stabilityerror estimateswave propagationnumerical examplessuperconvergencediscontinuous Galerkin methodstwo-way wave equations

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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Initial value problems for first-order hyperbolic systems (35L45)

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