Convergence Analysis of a Discontinuous Galerkin Method for Wave Equations in Second-Order Form

DOI10.1137/18M1190495zbMath1450.65119OpenAlexW2911359226WikidataQ128454934 ScholiaQ128454934MaRDI QIDQ4620322

Yu Du, Zhimin Zhang, Lu Zhang

Publication date: 8 February 2019

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

Full work available at URL: https://doi.org/10.1137/18m1190495

zbMATH Keywords

wave equationdiscontinuous Galerkin methodsuperconvergencePPRsupercloseness

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) A priori estimates in context of PDEs (35B45) 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) Second-order hyperbolic equations (35L10)

Related Items

An energy-based discontinuous Galerkin method for semilinear wave equations, Convergence analysis of an energy based discontinuous Galerkin method for the wave equation in second-order form: \( h p\) version

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