Uniform convergence of the POD method and applications to optimal control

DOI10.3934/dcds.2015.35.4477zbMath1337.65053OpenAlexW2333109051MaRDI QIDQ255853

F. Blanchet-Sadri, M. Dambrine

Publication date: 9 March 2016

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2015.35.4477

zbMATH Keywords

optimal controlconvergencenumerical exampleGalerkin approximationsreduced-order systemlinear abstract parabolic evolution problemproper othogonal decomposition

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Initial-boundary value problems for second-order parabolic equations (35K20) Decomposition methods (49M27) Existence theories for optimal control problems involving partial differential equations (49J20)

Related Items (2)

POD-Galerkin model order reduction for parametrized nonlinear time-dependent optimal flow control: an application to shallow water equations ⋮ Reduced order optimal control of the convective FitzHugh-Nagumo equations

Cites Work

• Control of laser surface hardening by a reduced-order approach using proper orthogonal decomposition
• POD a-posteriori error estimates for linear-quadratic optimal control problems
• Galerkin approximation with proper orthogonal decomposition : new error estimates and illustrative examples
• Nonlinear Model Reduction via Discrete Empirical Interpolation
• Proper orthogonal decomposition for optimality systems
• Galerkin proper orthogonal decomposition methods for parabolic problems
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