A reduced basis method for the wave equation
Author(s)Glas, Silke; Patera, Anthony T; Urban, Karsten
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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.
DepartmentMassachusetts Institute of Technology. Department of Mechanical Engineering
International Journal of Computational Fluid Dynamics
Informa UK Limited
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