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2022
Hess MW, Quaini A, Rozza G. Data-Driven Enhanced Model Reduction for Bifurcating Models in Computational Fluid Dynamics. 2022 .
Hess MW, Quaini A, Rozza G. A Data-Driven Surrogate Modeling Approach for Time-Dependent Incompressible Navier-Stokes Equations with Dynamic Mode Decomposition and Manifold Interpolation. 2022 .
Pichi F, Strazzullo M, Ballarin F, Rozza G. Driving bifurcating parametrized nonlinear PDEs by optimal control strategies: application to Navier–Stokes equations with model order reduction. ESAIM: M2AN [Internet]. 2022 ;56(4):1361 - 1400. Available from: https://doi.org/10.1051/m2an/2022044
2021
Tezzele M. Data-driven parameter and model order reduction for industrial optimisation problems with applications in naval engineering. 2021 .
Donadini E, Strazzullo M, Tezzele M, Rozza G. A data-driven partitioned approach for the resolution of time-dependent optimal control problems with dynamic mode decomposition. 2021 .
Arndt D, Bangerth W, Blais B, Fehling M, Gassmöller R, Heister T, Heltai L, Köcher U, Kronbichler M, Maier M, et al. The deal.II Library, Version 9.3. Journal of Numerical Mathematics [Internet]. 2021 . Available from: https://doi.org/10.1515/jnma-2021-0081
Gigli N, Nobili F. A Differential Perspective on Gradient Flows on CAT(K)-Spaces and Applications. [Internet]. 2021 ;31(12):11780 - 11818. Available from: https://doi.org/10.1007/s12220-021-00701-5
Meneghetti L, Demo N, Rozza G. A Dimensionality Reduction Approach for Convolutional Neural Networks. 2021 .
Klun G, Fonda A, Sfecci A. On Dini derivatives of real functions.; 2021.
Shah N, Hess MW, Rozza G. Discontinuous Galerkin Model Order Reduction of Geometrically Parametrized Stokes Equation. In: Vermolen FJ, Vuik C Numerical Mathematics and Advanced Applications ENUMATH 2019. Numerical Mathematics and Advanced Applications ENUMATH 2019. Cham: Springer International Publishing; 2021.
Cavalletti F, Gigli N, Santarcangelo F. Displacement convexity of Entropy and the distance cost Optimal Transportation. Annales de la Faculté des sciences de Toulouse : Mathématiques [Internet]. 2021 ;Ser. 6, 30:411–427. Available from: https://afst.centre-mersenne.org/articles/10.5802/afst.1679/
Sillari L, Tomassini A. Doulbeault and $J$-invariant Cohomologies on Almost Complex Manifolds. Complex Analysis and Operator Theory [Internet]. 2021 ;15. Available from: https://link.springer.com/article/10.1007/s11785-021-01156-w
Andreuzzi F, Demo N, Rozza G. A dynamic mode decomposition extension for the forecasting of parametric dynamical systems. arXiv preprint arXiv:2110.09155. 2021 .
Sapio F. A dynamic model for viscoelasticity in domains with time-dependent cracks. [Internet]. 2021 ;28(6):67. Available from: https://doi.org/10.1007/s00030-021-00729-0
2020
Hijazi S, Stabile G, Mola A, Rozza G. Data-driven POD-Galerkin reduced order model for turbulent flows. Journal of Computational Physics [Internet]. 2020 ;416:109513. Available from: https://arxiv.org/abs/1907.09909
Arndt D, Bangerth W, Davydov D, Heister T, Heltai L, Kronbichler M, Maier M, Pelteret J-P, Turcksin B, Wells D. The deal.II finite element library: Design, features, and insights. Computers and Mathematics with Applications [Internet]. 2020 . Available from: https://doi.org/10.1016/j.camwa.2020.02.022
Arndt D, Bangerth W, Blais B, Clevenger TC, Fehling M, Grayver AV, Heister T, Heltai L, Kronbichler M, Maier M, et al. The deal.II library, Version 9.2. Journal of Numerical Mathematics. 2020 ;28:131–146.
Caponi M, Sapio F. A dynamic model for viscoelastic materials with prescribed growing cracks. [Internet]. 2020 ;199(4):1263 - 1292. Available from: https://doi.org/10.1007/s10231-019-00921-1
2019
Arndt D, Bangerth W, Clevenger TC, Davydov D, Fehling M, Garcia-Sanchez D, Harper G, Heister T, Heltai L, Kronbichler M, et al. The deal.II Library, Version 9.1. Journal of Numerical Mathematics. 2019 .
Arndt D, Bangerth W, Clevenger TC, Davydov D, Fehling M, Garcia-Sanchez D, Harper G, Heister T, Heltai L, Kronbichler M, et al. The deal.II Library, Version 9.1. Journal of Numerical Mathematics. 2019 .
Gigli N, Pasqualetto E. Differential structure associated to axiomatic Sobolev spaces. Expositiones Mathematicae [Internet]. 2019 . Available from: http://www.sciencedirect.com/science/article/pii/S0723086918300975
Saracco A, Saracco G. A discrete districting plan. Netw. Heterog. Media. 2019 ;14:771–788.
2018
Sartori A, Giuliani N, Bardelloni M, Heltai L. deal2lkit: A toolkit library for high performance programming in deal.II. SOFTWAREX. 2018 ;7:318–327.
Alzetta G, Arndt D, Bangerth W, Boddu V, Brands B, Davydov D, Gassmöller R, Heister T, Heltai L, Kormann K, et al. The deal.II Library, Version 9.0. JOURNAL OF NUMERICAL MATHEMATICS [Internet]. 2018 . Available from: https://doi.org/10.1515/jnma-2018-0054
Gigli N, Pasqualetto E, Soultanis E. Differential of metric valued Sobolev maps.; 2018.

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