A reduced basis method for the wave equation
Name
GPU-submitted.pdf
Description
Submitted version
Size
612.5 KB
Format
Adobe PDF
Checksum (MD5)
c0cc6c3ea1cbd9390f5a4ccf7f1ce212
Author(s)
Glas, Silke
Patera, Anthony T
Urban, Karsten
Date Issued
November 2019
Journal
International Journal of Computational Fluid Dynamics
Publisher
Informa UK Limited
Citation
Glas, Silke et al. "A reduced basis method for the wave equation." International Journal of Computational Fluid Dynamics 34, 2 (November 2019): 139-146 © 2019 Informa UK Limited
Version
Original manuscript
Abstract
In this contribution, we derive an a posteriori error estimator for the second-order wave equation motivated by energy-based a priori estimates by Bernardi and Süli [“Time and Space Adaptivity for the Second-order Wave Equation.” Mathematical Models and Methods in Applied Sciences 15 (2): 199–225]. This estimate (which is valid for general discretisations) is then used to derive a POD-Greedy reduced basis approach for the parameterised wave equation. The quantitative performance of the online-efficient error estimator is shown for an illustrative example, keeping in mind that model reduction of parametrised hyperbolic problems is a challenge.
MIT Department
Massachusetts Institute of Technology. Department of Mechanical Engineering
Terms of Use
Creative Commons Attribution-Noncommercial-Share Alike
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1080/10618562.2019.1686486
