A weighted POD-reduction approach for parametrized PDE-constrained Optimal Control Problems with random inputs and applications to environmental sciences

DOI10.1016/J.CAMWA.2021.10.020zbMath1524.65771arXiv2103.00632WikidataQ114201510 ScholiaQ114201510MaRDI QIDQ6361760

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

Publication date: 28 February 2021

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Hydrology, hydrography, oceanography (86A05) 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) PDEs with randomness, stochastic partial differential equations (35R60) Computational methods for problems pertaining to geophysics (86-08) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Geophysical flows (76U60) PDE constrained optimization (numerical aspects) (49M41)

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