Zappon, Elena; Manzoni, Andrea; Gervasio, Paola; Quarteroni, Alfio A reduced order model for domain decompositions with non-conforming interfaces. (English) Zbl 07818687 J. Sci. Comput. 99, No. 1, Paper No. 22, 41 p. (2024). MSC: 65N55 65N30 65D05 65N12 35J15 35K57 35K05 65M06 PDFBibTeX XMLCite \textit{E. Zappon} et al., J. Sci. Comput. 99, No. 1, Paper No. 22, 41 p. (2024; Zbl 07818687) Full Text: DOI arXiv
Cicci, Ludovica; Fresca, Stefania; Pagani, Stefano; Manzoni, Andrea; Quarteroni, Alfio Projection-based reduced order models for parameterized nonlinear time-dependent problems arising in cardiac mechanics. (English) Zbl 07817661 Math. Eng. (Springfield) 5, No. 2, Paper No. 26, 38 p. (2023). MSC: 92-XX 74-XX PDFBibTeX XMLCite \textit{L. Cicci} et al., Math. Eng. (Springfield) 5, No. 2, Paper No. 26, 38 p. (2023; Zbl 07817661) Full Text: DOI
Cicci, Ludovica; Fresca, Stefania; Guo, Mengwu; Manzoni, Andrea; Zunino, Paolo Uncertainty quantification for nonlinear solid mechanics using reduced order models with Gaussian process regression. (English) Zbl 07750303 Comput. Math. Appl. 149, 1-23 (2023). MSC: 65M60 65N30 68T05 68T07 65M99 PDFBibTeX XMLCite \textit{L. Cicci} et al., Comput. Math. Appl. 149, 1--23 (2023; Zbl 07750303) Full Text: DOI arXiv
Zappon, Elena; Manzoni, Andrea; Quarteroni, Alfio Efficient and certified solution of parametrized one-way coupled problems through DEIM-based data projection across non-conforming interfaces. (English) Zbl 1512.65221 Adv. Comput. Math. 49, No. 2, Paper No. 21, 42 p. (2023). Reviewer: Marius Ghergu (Dublin) MSC: 65M60 65M06 65N30 65N99 65D05 65M12 76Z05 76W05 92C30 92C10 92C50 92-08 35Q92 PDFBibTeX XMLCite \textit{E. Zappon} et al., Adv. Comput. Math. 49, No. 2, Paper No. 21, 42 p. (2023; Zbl 1512.65221) Full Text: DOI arXiv
Fresca, Stefania; Gobat, Giorgio; Fedeli, Patrick; Frangi, Attilio; Manzoni, Andrea Deep learning-based reduced order models for the real-time simulation of the nonlinear dynamics of microstructures. (English) Zbl 07769309 Int. J. Numer. Methods Eng. 123, No. 20, 4749-4777 (2022). MSC: 68T07 65M06 94A08 PDFBibTeX XMLCite \textit{S. Fresca} et al., Int. J. Numer. Methods Eng. 123, No. 20, 4749--4777 (2022; Zbl 07769309) Full Text: DOI arXiv OA License
Cicci, Ludovica; Fresca, Stefania; Manzoni, Andrea Deep-HyROMnet: a deep learning-based operator approximation for hyper-reduction of nonlinear parametrized PDEs. (English) Zbl 1503.65225 J. Sci. Comput. 93, No. 2, Paper No. 57, 37 p. (2022). MSC: 65M60 65M99 68T07 68Q32 65K10 65D05 PDFBibTeX XMLCite \textit{L. Cicci} et al., J. Sci. Comput. 93, No. 2, Paper No. 57, 37 p. (2022; Zbl 1503.65225) Full Text: DOI arXiv
Buoso, Stefano; Manzoni, Andrea; Alkadhi, Hatem; Kurtcuoglu, Vartan Stabilized reduced-order models for unsteady incompressible flows in three-dimensional parametrized domains. (English) Zbl 1521.76320 Comput. Fluids 246, Article ID 105604, 15 p. (2022). MSC: 76M10 65M60 76D05 PDFBibTeX XMLCite \textit{S. Buoso} et al., Comput. Fluids 246, Article ID 105604, 15 p. (2022; Zbl 1521.76320) Full Text: DOI
Guo, Mengwu; Manzoni, Andrea; Amendt, Maurice; Conti, Paolo; Hesthaven, Jan S. Multi-fidelity regression using artificial neural networks: efficient approximation of parameter-dependent output quantities. (English) Zbl 1507.65184 Comput. Methods Appl. Mech. Eng. 389, Article ID 114378, 25 p. (2022). MSC: 65M60 65D07 65D12 68T07 92B20 PDFBibTeX XMLCite \textit{M. Guo} et al., Comput. Methods Appl. Mech. Eng. 389, Article ID 114378, 25 p. (2022; Zbl 1507.65184) Full Text: DOI arXiv
Dal Santo, Niccolò; Manzoni, Andrea; Pagani, Stefano; Quarteroni, Alfio Reduced-order modeling for applications to the cardiovascular system. (English) Zbl 1477.65157 Benner, Peter (ed.) et al., Model order reduction. Volume 3: Applications. Berlin: De Gruyter. 251-277 (2021). MSC: 65M60 65M99 65N12 76M10 76D05 76Z05 92C35 35Q35 35Q92 PDFBibTeX XMLCite \textit{N. Dal Santo} et al., in: Model order reduction. Volume 3: Applications. Berlin: De Gruyter. 251--277 (2021; Zbl 1477.65157) Full Text: DOI
Fresca, Stefania; Dede’, Luca; Manzoni, Andrea A comprehensive deep learning-based approach to reduced order modeling of nonlinear time-dependent parametrized PDEs. (English) Zbl 1470.65166 J. Sci. Comput. 87, No. 2, Paper No. 61, 36 p. (2021). Reviewer: Bülent Karasözen (Ankara) MSC: 65M60 68T05 68T07 PDFBibTeX XMLCite \textit{S. Fresca} et al., J. Sci. Comput. 87, No. 2, Paper No. 61, 36 p. (2021; Zbl 1470.65166) Full Text: DOI arXiv
Dal Santo, Niccolo; Deparis, S.; Manzoni, A.; Quarteroni, A. Multi space reduced basis preconditioners for parametrized Stokes equations. (English) Zbl 1442.65357 Comput. Math. Appl. 77, No. 6, 1583-1604 (2019). MSC: 65N30 65N22 35Q35 76D07 76M10 PDFBibTeX XMLCite \textit{N. Dal Santo} et al., Comput. Math. Appl. 77, No. 6, 1583--1604 (2019; Zbl 1442.65357) Full Text: DOI
Dal Santo, Niccolo; Deparis, S.; Manzoni, A.; Quarteroni, A. An algebraic least squares reduced basis method for the solution of nonaffinely parametrized Stokes equations. (English) Zbl 1440.76055 Comput. Methods Appl. Mech. Eng. 344, 186-208 (2019). MSC: 76M10 65N30 65N12 76D07 PDFBibTeX XMLCite \textit{N. Dal Santo} et al., Comput. Methods Appl. Mech. Eng. 344, 186--208 (2019; Zbl 1440.76055) Full Text: DOI
Dal Santo, Niccolò; Manzoni, Andrea Hyper-reduced order models for parametrized unsteady Navier-Stokes equations on domains with variable shape. (English) Zbl 1435.65155 Adv. Comput. Math. 45, No. 5-6, 2463-2501 (2019). MSC: 65M60 65M06 65N30 65M15 65N50 35B32 76M10 76A05 76Z05 92C35 35Q30 35Q92 PDFBibTeX XMLCite \textit{N. Dal Santo} and \textit{A. Manzoni}, Adv. Comput. Math. 45, No. 5--6, 2463--2501 (2019; Zbl 1435.65155) Full Text: DOI
Manzoni, Andrea; Pagani, Stefano A certified RB method for PDE-constrained parametric optimization problems. (English) Zbl 1422.49007 Commun. Appl. Ind. Math. 10, No. 1, 123-152 (2019). MSC: 49J20 65K10 65M15 65M60 65N12 93C20 PDFBibTeX XMLCite \textit{A. Manzoni} and \textit{S. Pagani}, Commun. Appl. Ind. Math. 10, No. 1, 123--152 (2019; Zbl 1422.49007) Full Text: DOI
Pagani, Stefano; Manzoni, Andrea; Quarteroni, Alfio Numerical approximation of parametrized problems in cardiac electrophysiology by a local reduced basis method. (English) Zbl 1440.92003 Comput. Methods Appl. Mech. Eng. 340, 530-558 (2018). MSC: 92-08 65M60 92C30 PDFBibTeX XMLCite \textit{S. Pagani} et al., Comput. Methods Appl. Mech. Eng. 340, 530--558 (2018; Zbl 1440.92003) Full Text: DOI Link
Santo, Niccolò Dal; Deparis, Simone; Manzoni, Andrea; Quarteroni, Alfio Multi space reduced basis preconditioners for large-scale parametrized PDEs. (English) Zbl 1453.65416 SIAM J. Sci. Comput. 40, No. 2, A954-A983 (2018). MSC: 65N30 65F08 65F10 PDFBibTeX XMLCite \textit{N. D. Santo} et al., SIAM J. Sci. Comput. 40, No. 2, A954--A983 (2018; Zbl 1453.65416) Full Text: DOI
Bonomi, Diana; Manzoni, Andrea; Quarteroni, Alfio A matrix DEIM technique for model reduction of nonlinear parametrized problems in cardiac mechanics. (English) Zbl 1439.74394 Comput. Methods Appl. Mech. Eng. 324, 300-326 (2017). MSC: 74S05 65N30 74L15 92C10 PDFBibTeX XMLCite \textit{D. Bonomi} et al., Comput. Methods Appl. Mech. Eng. 324, 300--326 (2017; Zbl 1439.74394) Full Text: DOI Link
Pagani, Stefano; Manzoni, Andrea; Quarteroni, Alfio Efficient state/parameter estimation in nonlinear unsteady PDEs by a reduced basis ensemble Kalman filter. (English) Zbl 1398.65280 SIAM/ASA J. Uncertain. Quantif. 5, 890-921 (2017). MSC: 65N21 65N30 35R30 PDFBibTeX XMLCite \textit{S. Pagani} et al., SIAM/ASA J. Uncertain. Quantif. 5, 890--921 (2017; Zbl 1398.65280) Full Text: DOI
Manzoni, Andrea; Negri, Federico Efficient reduction of PDEs defined on domains with variable shape. (English) Zbl 1388.78020 Benner, Peter (ed.) et al., Model reduction of parametrized systems. Selected contributions based on the presentations at the MoRePaS conference, SISSA, Trieste, Italy, October 13–16, 2015. Cham: Springer (ISBN 978-3-319-58785-1/hbk; 978-3-319-58786-8/ebook). MS&A. Modeling, Simulation and Applications 17, 183-199 (2017). MSC: 78M34 74B10 65M60 78A45 35J05 65M50 PDFBibTeX XMLCite \textit{A. Manzoni} and \textit{F. Negri}, MS\&A, Model. Simul. Appl. 17, 183--199 (2017; Zbl 1388.78020) Full Text: DOI
Manzoni, Andrea; Salmoiraghi, Filippo; Heltai, Luca Reduced basis isogeometric methods (RB-IGA) for the real-time simulation of potential flows about parametrized NACA airfoils. (English) Zbl 1423.76181 Comput. Methods Appl. Mech. Eng. 284, 1147-1180 (2015). MSC: 76G25 65D07 65N30 74F10 PDFBibTeX XMLCite \textit{A. Manzoni} et al., Comput. Methods Appl. Mech. Eng. 284, 1147--1180 (2015; Zbl 1423.76181) Full Text: DOI
Negri, Federico; Manzoni, Andrea; Amsallem, David Efficient model reduction of parametrized systems by matrix discrete empirical interpolation. (English) Zbl 1349.65154 J. Comput. Phys. 303, 431-454 (2015). MSC: 65F99 65M20 PDFBibTeX XMLCite \textit{F. Negri} et al., J. Comput. Phys. 303, 431--454 (2015; Zbl 1349.65154) Full Text: DOI Link