Two Ways to Treat Time in Reduced Basis Methods

DOI10.1007/978-3-319-58786-8_1zbMath1448.65158OpenAlexW2752973017MaRDI QIDQ4637147

Silke Glas, Antonia Mayerhofer, Karsten Urban

Publication date: 18 April 2018

Published in: Model Reduction of Parametrized Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-58786-8_1

Mathematics Subject Classification ID

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) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)

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Cites Work

• Unnamed Item
• Unnamed Item
• A new error bound for reduced basis approximation of parabolic partial differential equations
• A successive constraint linear optimization method for lower bounds of parametric coercivity and inf-sup stability constants
• Certified Reduced Basis Methods for Parametrized Partial Differential Equations
• Space-time adaptive wavelet methods for parabolic evolution problems
• Theory of adaptive finite element methods: An introduction
• Convergence Rates of the POD–Greedy Method
• 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