Error estimates for Galerkin reduced-order models of the semi-discrete wave equation

DOI10.1051/m2an/2013099zbMath1290.65087OpenAlexW1995555829MaRDI QIDQ5414159

Ulrich Hetmaniuk, David Amsallem

Publication date: 2 May 2014

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/m2an/2013099

zbMATH Keywords

wave equationerror estimatesconvergence accelerationnumerical experimentsproper orthogonal decompositionsemidiscretizationNewmark schemesGalerkin reduced-order modelssecond-order structure preservation

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) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

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