Superconvergence of the space-time discontinuous Galerkin method for linear nonhomogeneous hyperbolic equations

DOI10.1007/s10092-021-00408-7zbMath1480.65259OpenAlexW3139527313WikidataQ115606195 ScholiaQ115606195MaRDI QIDQ2041940

Hongling Hu, Ke-jia Pan, Chuan-miao Chen, Shu-fang Hu

Publication date: 26 July 2021

Published in: Calcolo (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10092-021-00408-7

zbMATH Keywords

discontinuous Galerkin methodsuperconvergencehyperbolic equationcorrection functionlocal differential projection

Mathematics Subject Classification ID

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) Numerical quadrature and cubature formulas (65D32) First-order hyperbolic equations (35L02)

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