Unconditional stability and optimal error estimates of discontinuous Galerkin methods for the second-order wave equation

DOI10.1080/00036811.2019.1636968zbMath1468.65143OpenAlexW2958454607WikidataQ127590859 ScholiaQ127590859MaRDI QIDQ5858430

Wentao Cai, Weimin Han, Limin He, Fei Wang

Publication date: 13 April 2021

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2019.1636968

zbMATH Keywords

second-order wave equationdiscontinuous Galerkin methodsGronwall inequalityfully discrete approximation

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Wave equation (35L05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) 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)

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