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
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
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
Barnafi, Nicolás; Zunino, Paolo; Dedè, Luca; Quarteroni, Alfio Mathematical analysis and numerical approximation of a general linearized poro-hyperelastic model. (English) Zbl 1524.65512 Comput. Math. Appl. 91, 202-228 (2021). MSC: 65M60 65N30 76D07 76S05 76M10 65N12 65M06 76M20 74S05 74S20 65D05 74B10 35A01 35A02 65N15 92C10 74L15 35Q92 35Q74 35Q35 PDFBibTeX XMLCite \textit{N. Barnafi} et al., Comput. Math. Appl. 91, 202--228 (2021; Zbl 1524.65512) Full Text: DOI
Regazzoni, F.; Dedè, L.; Quarteroni, A. Machine learning of multiscale active force generation models for the efficient simulation of cardiac electromechanics. (English) Zbl 1506.74212 Comput. Methods Appl. Mech. Eng. 370, Article ID 113268, 30 p. (2020). MSC: 74L15 74F15 92C30 PDFBibTeX XMLCite \textit{F. Regazzoni} et al., Comput. Methods Appl. Mech. Eng. 370, Article ID 113268, 30 p. (2020; Zbl 1506.74212) Full Text: DOI
Regazzoni, F.; Dedè, L.; Quarteroni, A. Machine learning for fast and reliable solution of time-dependent differential equations. (English) Zbl 1454.65185 J. Comput. Phys. 397, Article ID 108852, 26 p. (2019). MSC: 65P99 68T07 93B30 65K10 35K05 PDFBibTeX XMLCite \textit{F. Regazzoni} et al., J. Comput. Phys. 397, Article ID 108852, 26 p. (2019; Zbl 1454.65185) Full Text: DOI Link
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
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
Chen, Peng; Quarteroni, Alfio; Rozza, Gianluigi Reduced basis methods for uncertainty quantification. (English) Zbl 1400.65010 SIAM/ASA J. Uncertain. Quantif. 5, 813-869 (2017). MSC: 65C30 60H15 65N12 65N15 65N35 PDFBibTeX XMLCite \textit{P. Chen} et al., SIAM/ASA J. Uncertain. Quantif. 5, 813--869 (2017; Zbl 1400.65010) Full Text: DOI
Zhu, Shengfeng; Dedè, Luca; Quarteroni, Alfio Isogeometric analysis and proper orthogonal decomposition for parabolic problems. (English) Zbl 1380.65295 Numer. Math. 135, No. 2, 333-370 (2017). MSC: 65M60 35K20 65D07 65M12 65M15 PDFBibTeX XMLCite \textit{S. Zhu} et al., Numer. Math. 135, No. 2, 333--370 (2017; Zbl 1380.65295) Full Text: DOI Link