A Variational Formulation for LTI-Systems and Model Reduction

DOI10.1007/978-3-030-55874-1_105zbMath1475.65119OpenAlexW3159121063MaRDI QIDQ5152910

Karsten Urban, Moritz Feuerle

Publication date: 27 September 2021

Published in: Lecture Notes in Computational Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-55874-1_105

Mathematics Subject Classification ID

Abstract parabolic equations (35K90) 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 methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99)

Cites Work

• A new error bound for reduced basis approximation of parabolic partial differential equations
• Model reduction of parametrized systems. Selected contributions based on the presentations at the MoRePaS conference, SISSA, Trieste, Italy, October 13--16, 2015
• Space-time adaptive wavelet methods for parabolic evolution problems
• Two Ways to Treat Time in Reduced Basis Methods
• An improved error bound for reduced basis approximation of linear parabolic problems
• Reduced basis methods for Stokes equations in domains with non-affine parameter dependence

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