Error estimates for Galerkin reduced-order models of the semi-discrete wave equation
ESAIM: M2AN, 48 1 (2014) 135-163
Published online: 2013-12-18
Articles citing this article
The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).
Cited article:
This article has been cited by the following article(s):
A new proper orthogonal decomposition method with second difference quotients for the wave equation
Andrew Janes and John R. SinglerJournal of Computational and Applied Mathematics 457 116279 (2025)
https://doi.org/10.1016/j.cam.2024.116279
603 (2024)
https://doi.org/10.1109/ICOPESA61191.2024.10743333
Input-Tailored System-Theoretic Model Order Reduction for Quadratic-Bilinear Systems
Björn Liljegren-Sailer and Nicole MarheinekeSIAM Journal on Matrix Analysis and Applications 43 (1) 1 (2022)
https://doi.org/10.1137/18M1216699
Certified Reduced Basis Method for the Damped Wave Equations on Networks
Nadine Stahl, Björn Liljegren-Sailer and Nicole MarheinekeIFAC-PapersOnLine 55 (20) 289 (2022)
https://doi.org/10.1016/j.ifacol.2022.09.110
Well‐scaled, a‐posteriori error estimation for model order reduction of large second‐order mechanical systems
Dennis Grunert, Jörg Fehr and Bernard HaasdonkZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 100 (8) (2020)
https://doi.org/10.1002/zamm.201900186
POD-based model order reduction with an adaptive snapshot selection for a discontinuous Galerkin approximation of the time-domain Maxwell's equations
Kun Li, Ting-Zhu Huang, Liang Li and Stéphane LanteriJournal of Computational Physics 396 106 (2019)
https://doi.org/10.1016/j.jcp.2019.05.051
HDG–POD reduced order model of the heat equation
Jiguang Shen, John R. Singler and Yangwen ZhangJournal of Computational and Applied Mathematics 362 663 (2019)
https://doi.org/10.1016/j.cam.2018.09.031
Fast and accurate two-field reduced basis approximation for parametrized thermoelasticity problems
Khac Chi Hoang, Tae-Yeon Kim and Jeong-Hoon SongFinite Elements in Analysis and Design 141 96 (2018)
https://doi.org/10.1016/j.finel.2017.12.004
Stability‐preserving model order reduction for time‐domain simulation of vibro‐acoustic FE models
A. van de Walle, F. Naets, E. Deckers and W. DesmetInternational Journal for Numerical Methods in Engineering 109 (6) 889 (2017)
https://doi.org/10.1002/nme.5323
Isogeometric analysis and proper orthogonal decomposition for the acoustic wave equation
Shengfeng Zhu, Luca Dedè and Alfio QuarteroniESAIM: Mathematical Modelling and Numerical Analysis 51 (4) 1197 (2017)
https://doi.org/10.1051/m2an/2016056
A fast, certified and “tuning free” two-field reduced basis method for the metamodelling of affinely-parametrised elasticity problems
K.C. Hoang, P. Kerfriden and S.P.A. BordasComputer Methods in Applied Mechanics and Engineering 298 121 (2016)
https://doi.org/10.1016/j.cma.2015.08.016
A posteriori error estimators for linear reduced‐order models using Krylov‐based integrators
D. Amsallem and U. HetmaniukInternational Journal for Numerical Methods in Engineering 102 (5) 1238 (2015)
https://doi.org/10.1002/nme.4753
Are the Snapshot Difference Quotients Needed in the Proper Orthogonal Decomposition?
Traian Iliescu and Zhu WangSIAM Journal on Scientific Computing 36 (3) A1221 (2014)
https://doi.org/10.1137/130925141