Ballarin, Francesco; Lee, Sanghyun; Yi, Son-Young Projection-based reduced order modeling of an iterative scheme for linear thermo-poroelasticity. (English) Zbl 07820991 Results Appl. Math. 21, Article ID 100430, 26 p. (2024). MSC: 74Fxx 76Mxx 65Nxx PDFBibTeX XMLCite \textit{F. Ballarin} et al., Results Appl. Math. 21, Article ID 100430, 26 p. (2024; Zbl 07820991) Full Text: DOI arXiv
Key, Fabian; von Danwitz, Max; Ballarin, Francesco; Rozza, Gianluigi Model order reduction for deforming domain problems in a time-continuous space-time setting. (English) Zbl 07801059 Int. J. Numer. Methods Eng. 124, No. 23, 5125-5150 (2023). MSC: 65M60 65M15 76Z05 92C35 PDFBibTeX XMLCite \textit{F. Key} et al., Int. J. Numer. Methods Eng. 124, No. 23, 5125--5150 (2023; Zbl 07801059) Full Text: DOI arXiv OA License
Prusak, Ivan; Nonino, Monica; Torlo, Davide; Ballarin, Francesco; Rozza, Gianluigi An optimisation-based domain-decomposition reduced order model for the incompressible Navier-Stokes equations. (English) Zbl 07783934 Comput. Math. Appl. 151, 172-189 (2023). MSC: 76M10 65N30 76D05 74F10 65M60 PDFBibTeX XMLCite \textit{I. Prusak} et al., Comput. Math. Appl. 151, 172--189 (2023; Zbl 07783934) Full Text: DOI arXiv
Pichi, Federico; Ballarin, Francesco; Rozza, Gianluigi; Hesthaven, Jan S. An artificial neural network approach to bifurcating phenomena in computational fluid dynamics. (English) Zbl 1521.76359 Comput. Fluids 254, Article ID 105813, 17 p. (2023). MSC: 76M10 37M20 68T07 PDFBibTeX XMLCite \textit{F. Pichi} et al., Comput. Fluids 254, Article ID 105813, 17 p. (2023; Zbl 1521.76359) Full Text: DOI arXiv
Siena, Pierfrancesco; Girfoglio, Michele; Ballarin, Francesco; Rozza, Gianluigi Data-driven reduced order modelling for patient-specific hemodynamics of coronary artery bypass grafts with physical and geometrical parameters. (English) Zbl 07682839 J. Sci. Comput. 94, No. 2, Paper No. 38, 30 p. (2023). MSC: 76Z05 76D05 76M12 68T05 68T07 92C35 PDFBibTeX XMLCite \textit{P. Siena} et al., J. Sci. Comput. 94, No. 2, Paper No. 38, 30 p. (2023; Zbl 07682839) Full Text: DOI arXiv
Nonino, Monica; Ballarin, Francesco; Rozza, Gianluigi; Maday, Yvon Projection based semi-implicit partitioned reduced basis method for fluid-structure interaction problems. (English) Zbl 1505.76059 J. Sci. Comput. 94, No. 1, Paper No. 4, 41 p. (2023). MSC: 76M10 76M20 76D05 74F10 PDFBibTeX XMLCite \textit{M. Nonino} et al., J. Sci. Comput. 94, No. 1, Paper No. 4, 41 p. (2023; Zbl 1505.76059) Full Text: DOI
Strazzullo, Maria; Girfoglio, Michele; Ballarin, Francesco; Iliescu, Traian; Rozza, Gianluigi Consistency of the full and reduced order models for evolve-filter-relax regularization of convection-dominated, marginally-resolved flows. (English) Zbl 07767903 Int. J. Numer. Methods Eng. 123, No. 14, 3148-3178 (2022). MSC: 76Mxx 65Nxx 76Dxx PDFBibTeX XMLCite \textit{M. Strazzullo} et al., Int. J. Numer. Methods Eng. 123, No. 14, 3148--3178 (2022; Zbl 07767903) Full Text: DOI arXiv OA License
Pichi, Federico; Strazzullo, Maria; Ballarin, Francesco; Rozza, Gianluigi Driving bifurcating parametrized nonlinear PDEs by optimal control strategies: application to Navier-Stokes equations with model order reduction. (English) Zbl 1497.35389 ESAIM, Math. Model. Numer. Anal. 56, No. 4, 1361-1400 (2022). MSC: 35Q35 76D05 49J20 49M41 65P30 65N25 35B32 35B35 76M10 PDFBibTeX XMLCite \textit{F. Pichi} et al., ESAIM, Math. Model. Numer. Anal. 56, No. 4, 1361--1400 (2022; Zbl 1497.35389) Full Text: DOI arXiv
Karatzas, Efthymios N.; Nonino, Monica; Ballarin, Francesco; Rozza, Gianluigi A reduced order cut finite element method for geometrically parametrized steady and unsteady Navier-Stokes problems. (English) Zbl 1524.76215 Comput. Math. Appl. 116, 140-160 (2022). MSC: 76M10 65N30 76D05 65M60 65M15 PDFBibTeX XMLCite \textit{E. N. Karatzas} et al., Comput. Math. Appl. 116, 140--160 (2022; Zbl 1524.76215) Full Text: DOI arXiv
Strazzullo, Maria; Ballarin, Francesco; Rozza, Gianluigi POD-Galerkin model order reduction for parametrized nonlinear time-dependent optimal flow control: an application to shallow water equations. (English) Zbl 1490.65210 J. Numer. Math. 30, No. 1, 63-84 (2022). MSC: 65M60 49M41 76N99 PDFBibTeX XMLCite \textit{M. Strazzullo} et al., J. Numer. Math. 30, No. 1, 63--84 (2022; Zbl 1490.65210) Full Text: DOI arXiv
Kadeethum, Teeratorn; Ballarin, Francesco; Bouklas, Nikolaos Data-driven reduced order modeling of poroelasticity of heterogeneous media based on a discontinuous Galerkin approximation. (English) Zbl 1480.65260 GEM. Int. J. Geomath. 12, Paper No. 12, 45 p. (2021). MSC: 65M60 76S05 86A05 PDFBibTeX XMLCite \textit{T. Kadeethum} et al., GEM. Int. J. Geomath. 12, Paper No. 12, 45 p. (2021; Zbl 1480.65260) Full Text: DOI arXiv
Carere, Giuseppe; Strazzullo, Maria; Ballarin, Francesco; Rozza, Gianluigi; Stevenson, Rob A weighted POD-reduction approach for parametrized PDE-constrained optimal control problems with random inputs and applications to environmental sciences. (English) Zbl 1524.65771 Comput. Math. Appl. 102, 261-276 (2021). MSC: 65N30 76M10 65M60 65M15 65N12 65M99 65K10 86A05 86-08 49M41 35R60 76U60 PDFBibTeX XMLCite \textit{G. Carere} et al., Comput. Math. Appl. 102, 261--276 (2021; Zbl 1524.65771) Full Text: DOI arXiv
Strazzullo, Maria; Zainib, Zakia; Ballarin, Francesco; Rozza, Gianluigi Reduced order methods for parametrized non-linear and time dependent optimal flow control problems, towards applications in biomedical and environmental sciences. (English) Zbl 1478.49017 Vermolen, Fred J. (ed.) et al., Numerical mathematics and advanced applications. ENUMATH 2019. Proceedings of the European conference, Egmond aan Zee, The Netherlands, September 30 – October 4, 2019. Cham: Springer. Lect. Notes Comput. Sci. Eng. 139, 841-850 (2021). MSC: 49K20 49J20 35Q30 49S05 92C40 PDFBibTeX XMLCite \textit{M. Strazzullo} et al., Lect. Notes Comput. Sci. Eng. 139, 841--850 (2021; Zbl 1478.49017) Full Text: DOI arXiv
Zancanaro, Matteo; Ballarin, Francesco; Perotto, Simona; Rozza, Gianluigi Hierarchical model reduction techniques for flow modeling in a parametrized setting. (English) Zbl 1468.65209 Multiscale Model. Simul. 19, No. 1, 267-293 (2021). MSC: 65N30 65N35 65N99 76M10 PDFBibTeX XMLCite \textit{M. Zancanaro} et al., Multiscale Model. Simul. 19, No. 1, 267--293 (2021; Zbl 1468.65209) Full Text: DOI arXiv
Ali, Shafqat; Ballarin, Francesco; Rozza, Gianluigi Stabilized reduced basis methods for parametrized steady Stokes and Navier-Stokes equations. (English) Zbl 1524.76206 Comput. Math. Appl. 80, No. 11, 2399-2416 (2020). MSC: 76M10 65N30 76D07 76D05 65N15 PDFBibTeX XMLCite \textit{S. Ali} et al., Comput. Math. Appl. 80, No. 11, 2399--2416 (2020; Zbl 1524.76206) Full Text: DOI arXiv
Karatzas, Efthymios N.; Ballarin, Francesco; Rozza, Gianluigi Projection-based reduced order models for a cut finite element method in parametrized domains. (English) Zbl 1443.65348 Comput. Math. Appl. 79, No. 3, 833-851 (2020). MSC: 65N30 PDFBibTeX XMLCite \textit{E. N. Karatzas} et al., Comput. Math. Appl. 79, No. 3, 833--851 (2020; Zbl 1443.65348) Full Text: DOI arXiv
Ballarin, Francesco; Chacón Rebollo, Tomás; Delgado Ávila, Enrique; Gómez Mármol, Macarena; Rozza, Gianluigi Certified reduced basis VMS-Smagorinsky model for natural convection flow in a cavity with variable height. (English) Zbl 1447.65067 Comput. Math. Appl. 80, No. 5, 973-989 (2020). MSC: 65M60 65M06 65M15 76R10 76F65 76M10 76M20 35Q35 PDFBibTeX XMLCite \textit{F. Ballarin} et al., Comput. Math. Appl. 80, No. 5, 973--989 (2020; Zbl 1447.65067) Full Text: DOI arXiv
Strazzullo, Maria; Ballarin, Francesco; Rozza, Gianluigi POD-Galerkin model order reduction for parametrized time dependent linear quadratic optimal control problems in saddle point formulation. (English) Zbl 1444.49013 J. Sci. Comput. 83, No. 3, Paper No. 55, 35 p. (2020). Reviewer: Claudia Simionescu-Badea (Wien) MSC: 49N10 49M25 35J20 65N06 90C20 PDFBibTeX XMLCite \textit{M. Strazzullo} et al., J. Sci. Comput. 83, No. 3, Paper No. 55, 35 p. (2020; Zbl 1444.49013) Full Text: DOI arXiv
Stabile, Giovanni; Ballarin, Francesco; Zuccarino, Giacomo; Rozza, Gianluigi A reduced order variational multiscale approach for turbulent flows. (English) Zbl 1435.65165 Adv. Comput. Math. 45, No. 5-6, 2349-2368 (2019). MSC: 65M60 65M06 65N30 65N12 76D05 76F65 PDFBibTeX XMLCite \textit{G. Stabile} et al., Adv. Comput. Math. 45, No. 5--6, 2349--2368 (2019; Zbl 1435.65165) Full Text: DOI arXiv
Venturi, Luca; Ballarin, Francesco; Rozza, Gianluigi A weighted POD method for elliptic PDEs with random inputs. (English) Zbl 1462.65201 J. Sci. Comput. 81, No. 1, 136-153 (2019). MSC: 65N30 PDFBibTeX XMLCite \textit{L. Venturi} et al., J. Sci. Comput. 81, No. 1, 136--153 (2019; Zbl 1462.65201) Full Text: DOI arXiv
Torlo, Davide; Ballarin, Francesco; Rozza, Gianluigi Stabilized weighted reduced basis methods for parametrized advection dominated problems with random inputs. (English) Zbl 1408.35021 SIAM/ASA J. Uncertain. Quantif. 6, 1475-1502 (2018). MSC: 35J15 65C30 65N35 60H15 60H35 PDFBibTeX XMLCite \textit{D. Torlo} et al., SIAM/ASA J. Uncertain. Quantif. 6, 1475--1502 (2018; Zbl 1408.35021) Full Text: DOI arXiv
Strazzullo, Maria; Ballarin, Francesco; Mosetti, Renzo; Rozza, Gianluigi Model reduction for parametrized optimal control problems in environmental marine sciences and engineering. (English) Zbl 1395.49015 SIAM J. Sci. Comput. 40, No. 4, B1055-B1079 (2018). MSC: 49K20 49J20 76N25 35Q35 49N10 PDFBibTeX XMLCite \textit{M. Strazzullo} et al., SIAM J. Sci. Comput. 40, No. 4, B1055--B1079 (2018; Zbl 1395.49015) Full Text: DOI arXiv
Ballarin, Francesco; Rozza, Gianluigi; Maday, Yvon Reduced-order semi-implicit schemes for fluid-structure interaction problems. (English) Zbl 1464.76054 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. MS&A, Model. Simul. Appl. 17, 149-167 (2017). MSC: 76M10 76D05 74F10 PDFBibTeX XMLCite \textit{F. Ballarin} et al., MS\&A, Model. Simul. Appl. 17, 149--167 (2017; Zbl 1464.76054) Full Text: DOI arXiv
Chacón Rebollo, Tomás; Delgado Ávila, Enrique; Mármol, Macarena Gómez; Ballarin, Francesco; Rozza, Gianluigi On a certified Smagorinsky reduced basis turbulence model. (English) Zbl 1380.65339 SIAM J. Numer. Anal. 55, No. 6, 3047-3067 (2017). MSC: 65N12 65N15 65N30 76F65 76M10 PDFBibTeX XMLCite \textit{T. Chacón Rebollo} et al., SIAM J. Numer. Anal. 55, No. 6, 3047--3067 (2017; Zbl 1380.65339) Full Text: DOI arXiv
Ballarin, Francesco; Faggiano, Elena; Ippolito, Sonia; Manzoni, Andrea; Quarteroni, Alfio; Rozza, Gianluigi; Scrofani, Roberto Fast simulations of patient-specific haemodynamics of coronary artery bypass grafts based on a POD-Galerkin method and a vascular shape parametrization. (English) Zbl 1349.76173 J. Comput. Phys. 315, 609-628 (2016). MSC: 76M10 92-08 76Z05 92C35 65M60 PDFBibTeX XMLCite \textit{F. Ballarin} et al., J. Comput. Phys. 315, 609--628 (2016; Zbl 1349.76173) Full Text: DOI