A weighted POD-reduction approach for parametrized PDE-constrained optimal control problems with random inputs and applications to environmental sciences

DOI10.1016/j.camwa.2021.10.020OpenAlexW3209174574WikidataQ114201510 ScholiaQ114201510MaRDI QIDQ2239119

Giuseppe Carere, Maria Strazzullo, Francesco Ballarin, Gianluigi Rozza, Rob P. Stevenson

Publication date: 2 November 2021

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.00632

zbMATH Keywords

partial differential equationsoptimal control problemsuncertainty quantificationreduced order modelsenvironmental applications

Mathematics Subject Classification ID

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10) 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 (5)

POD-Galerkin model order reduction for parametrized nonlinear time-dependent optimal flow control: an application to shallow water equations ⋮ A POD-Galerkin reduced order model for the Navier-Stokes equations in stream function-vorticity formulation ⋮ POD-based reduced order methods for optimal control problems governed by parametric partial differential equation with varying boundary control ⋮ An optimisation-based domain-decomposition reduced order model for the incompressible Navier-Stokes equations ⋮ A novel large eddy simulation model for the quasi-geostrophic equations in a finite volume setting

Uses Software

• FEniCS
• redbKIT

Cites Work

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