A reduced basis method for the wave equation

DOI10.1080/10618562.2019.1686486zbMath1484.65218OpenAlexW2983112477WikidataQ126864647 ScholiaQ126864647MaRDI QIDQ5031599

Silke Glas, Karsten Urban, Anthony T. Patera

Publication date: 16 February 2022

Published in: International Journal of Computational Fluid Dynamics (Search for Journal in Brave)

Full work available at URL: https://hdl.handle.net/1721.1/129447

zbMATH Keywords

wave equationerror estimatesreduced basis methods

Mathematics Subject Classification ID

Variational methods applied to problems in fluid mechanics (76M30) 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)

Related Items (4)

Symplectic Model Reduction of Hamiltonian Systems on Nonlinear Manifolds and Approximation with Weakly Symplectic Autoencoder ⋮ Optimization problems for PDEs in weak space-time form. Abstracts from the workshop held March 5--10, 2023 ⋮ A hierarchical a posteriori error estimator for the reduced basis method ⋮ Space-time registration-based model reduction of parameterized one-dimensional hyperbolic PDEs

Uses Software

• redbKIT

Cites Work

• A new error bound for reduced basis approximation of parabolic partial differential equations
• An `empirical interpolation' method: Application to efficient reduced-basis discretization of partial differential equations
• Numerical treatment of partial differential equations. Revised translation of the 3rd German edition of `Numerische Behandlung partieller Differentialgleichungen' by Martin Stynes.
• A posteriori L (L2)-error bounds for finite element approximations to the wave equation
• Certified Reduced Basis Methods for Parametrized Partial Differential Equations
• (Parametrized) First Order Transport Equations: Realization of Optimally Stable Petrov--Galerkin Methods
• TIME AND SPACE ADAPTIVITY FOR THE SECOND-ORDER WAVE EQUATION
• An improved error bound for reduced basis approximation of linear parabolic problems
• Reduced basis method for finite volume approximations of parametrized linear evolution equations
• Reduced Basis Methods for Partial Differential Equations
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