Discrete Input/Output Maps and their Relation to Proper Orthogonal Decomposition

DOI10.1007/978-3-319-15260-8_21zbMath1327.65119OpenAlexW1129438088MaRDI QIDQ2950191

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Publication date: 8 October 2015

Published in: Numerical Algebra, Matrix Theory, Differential-Algebraic Equations and Control Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-15260-8_21

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10)

Related Items (max. 100)

Space and chaos‐expansion Galerkin proper orthogonal decomposition low‐order discretization of partial differential equations for uncertainty quantification ⋮ Space-Time Galerkin POD with Application in Optimal Control of Semilinear Partial Differential Equations

Uses Software

• genpod

Cites Work

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• Semigroups of linear operators and applications to partial differential equations
• Dimension reduction of large-scale systems. Proceedings of a workshop, Oberwolfach, Germany, October 19--25, 2003.
• Distributed control of linearized Navier-Stokes equations via discretized input/output maps
• A Multilinear Singular Value Decomposition
• On the Best Rank-1 and Rank-(R₁ ,R₂ ,. . .,R_N) Approximation of Higher-Order Tensors
• A Survey of Model Reduction by Balanced Truncation and Some New Results
• Adaptive Finite Element Methods for Parabolic Problems II: Optimal Error Estimates in $L_\infty L_2 $ and $L_\infty L_\infty $
• Approximation of Large-Scale Dynamical Systems
• Functional analysis

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