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Rozza, Gianluigi

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 Author ID: rozza.gianluigi Published as: Rozza, G.; Rozza, Gianluigi External Links: MGP · Wikidata · ORCID · dblp
 Documents Indexed: 97 Publications since 2003, including 9 Books
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Co-Authors

 6 single-authored 32 Quarteroni, Alfio M. 17 Manzoni, Andrea 13 Ballarin, Francesco 11 Lassila, Toni 8 Stabile, Giovanni 6 Chen, Peng 5 Benner, Peter 5 Patera, Anthony T. 4 Huynh, Dinh Bao Phuong 4 Quaini, Annalisa 3 Cammi, Antonio 3 Devaud, Denis 3 Grivet-Talocia, Stefano 3 Haasdonk, Bernard 3 Hijazi, Saddam 3 Iapichino, Laura 3 Karatzas, Efthymios N. 3 Lorenzi, Stefano 3 Luzzi, Lelio 3 Mola, Andrea 3 Ohlberger, Mario 3 Perotto, Simona 3 Pichi, Federico 3 Schilders, Wilhelmus H. A. 3 Silveira, Luís Miguel 2 Agoshkov, Valeriĭ Ivanovich 2 Chacón Rebollo, Tomás 2 Corsini, Alessandro 2 Delgado Ávila, Enrique 2 Gómez Mármol, Macarena 2 Gunzburger, Max D. 2 Hess, Martin W. 2 Martini, Immanuel 2 Negri, Federico 2 Pacciarini, Paolo 2 Scovazzi, Guglielmo 2 Strazzullo, Maria 2 Urban, Karsten 2 Van Brummelen, Harald 1 Ali, Shafqat 1 Alla, Alessandro 1 Atallah, Nabil M. 1 Boffi, Daniele 1 Busto, Saray 1 Carraturo, Massimo 1 Dede, Luca 1 D’Elia, Marta 1 Demo, Nicola 1 Deparis, Simone 1 Di Pietro, Daniele Antonio 1 Ern, Alexandre 1 Faggiano, Elena 1 Formaggia, Luca 1 Garotta, Fabrizio 1 Gelsomino, Fabrizio 1 Girfoglio, Michele 1 Hesthaven, Jan S. 1 Ippolito, Sonia 1 Jäggli, Christoph 1 Koshakji, Anwar 1 Lelièvre, Tony 1 Maday, Yvon 1 Milani, Roberto 1 Mosetti, Renzo 1 Nguyen, Ngoc Cuong 1 Nouveau, Léo 1 Pavarino, Luca Franco 1 Pitton, Giuseppe 1 Reali, Alessandro 1 Salsa, Sandro 1 Sartori, Alberto 1 Scacchi, Simone 1 Scrofani, Roberto 1 Sen, Sonu 1 Sorensen, Danny C. 1 Stamm, Benjamin 1 Tezzele, Marco 1 Torlo, Davide 1 Vázquez-Cendón, María Elena 1 Venturi, Luca 1 Vergara, Christian 1 Veroy, Karen 1 Xuan, Zhaocheng 1 Zuccarino, Giacomo
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Serials

 9 Journal of Scientific Computing 8 Computer Methods in Applied Mechanics and Engineering 6 Computers & Mathematics with Applications 4 SIAM Journal on Numerical Analysis 4 SIAM Journal on Scientific Computing 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Computers and Fluids 3 Journal of Computational Physics 3 Advances in Computational Mathematics 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 International Journal for Numerical Methods in Fluids 2 International Journal for Numerical Methods in Engineering 2 Numerische Mathematik 2 Lecture Notes in Computational Science and Engineering 2 Communications in Computational Physics 2 MS&A. Modeling, Simulation and Applications 2 Communications in Applied and Industrial Mathematics 2 SIAM/ASA Journal on Uncertainty Quantification 1 Calcolo 1 Applied Numerical Mathematics 1 Numerical Methods for Partial Differential Equations 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Applied Mathematical Modelling 1 SIAM Review 1 ETNA. Electronic Transactions on Numerical Analysis 1 Mathematical and Computer Modelling of Dynamical Systems 1 Archives of Computational Methods in Engineering 1 Milan Journal of Mathematics 1 Bollettino dell’Unione Matematica Italiana. Series IX 1 Journal of Mathematics in Industry 1 SEMA SIMAI Springer Series 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 1 SpringerBriefs in Mathematics
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Fields

 74 Numerical analysis (65-XX) 44 Fluid mechanics (76-XX) 41 Partial differential equations (35-XX) 15 Calculus of variations and optimal control; optimization (49-XX) 10 General and overarching topics; collections (00-XX) 10 Mechanics of deformable solids (74-XX) 9 Biology and other natural sciences (92-XX) 9 Systems theory; control (93-XX) 7 Probability theory and stochastic processes (60-XX) 3 Statistics (62-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Operations research, mathematical programming (90-XX) 1 Combinatorics (05-XX) 1 Real functions (26-XX) 1 Ordinary differential equations (34-XX) 1 Approximations and expansions (41-XX) 1 Optics, electromagnetic theory (78-XX) 1 Mathematics education (97-XX)

Citations contained in zbMATH

69 Publications have been cited 1,450 times in 604 Documents Cited by Year
Reduced basis approximation and a posteriori error estimation for affinely parametrized elliptic coercive partial differential equations. Application to transport and continuum mechanics. Zbl 1304.65251
Rozza, G.; Huynh, D. B. P.; Patera, A. T.
2008
Certified reduced basis methods for parametrized partial differential equations. Zbl 1329.65203
Hesthaven, Jan S.; Rozza, Gianluigi; Stamm, Benjamin
2016
A successive constraint linear optimization method for lower bounds of parametric coercivity and inf-sup stability constants. Zbl 1127.65086
Huynh, D. B. P.; Rozza, G.; Sen, S.; Patera, A. T.
2007
On the stability of the reduced basis method for Stokes equations in parametrized domains. Zbl 1173.76352
Rozza, Gianluigi; Veroy, Karen
2007
Certified reduced basis approximation for parametrized partial differential equations and applications. Zbl 1273.65148
Quarteroni, Alfio; Rozza, Gianluigi; Manzoni, Andrea
2011
Supremizer stabilization of POD-Galerkin approximation of parametrized steady incompressible Navier-Stokes equations. Zbl 1352.76039
Ballarin, Francesco; Manzoni, Andrea; Quarteroni, Alfio; Rozza, Gianluigi
2015
Reduced basis approximation and a posteriori error estimation for Stokes flows in parametrized geometries: roles of the inf-sup stability constants. Zbl 1318.76006
Rozza, Gianluigi; Huynh, D. B. Phuong; Manzoni, Andrea
2013
Reduced basis approximation and a posteriori error estimation for the time-dependent viscous Burgers’ equation. Zbl 1178.65109
Nguyen, Ngoc-Cuong; Rozza, Gianluigi; Patera, Anthony T.
2009
Numerical solution of parametrized Navier-Stokes equations by reduced basis methods. Zbl 1178.76238
Quarteroni, Alfio; Rozza, Gianluigi
2007
Parametric free-form shape design with PDE models and reduced basis method. Zbl 1231.76245
Lassila, Toni; Rozza, Gianluigi
2010
Reduced basis method for parametrized elliptic optimal control problems. Zbl 1280.49046
Negri, Federico; Rozza, Gianluigi; Manzoni, Andrea; Quarteroni, Alfio
2013
Model order reduction in fluid dynamics: challenges and perspectives. Zbl 1395.76058
Lassila, Toni; Manzoni, Andrea; Quarteroni, Alfio; Rozza, Gianluigi
2014
Comparison between reduced basis and stochastic collocation methods for elliptic problems. Zbl 1301.65007
Chen, Peng; Quarteroni, Alfio; Rozza, Gianluigi
2014
A weighted reduced basis method for elliptic partial differential equations with random input data. Zbl 1288.65007
Chen, Peng; Quarteroni, Alfio; Rozza, Gianluigi
2013
Optimal control and shape optimization of aorto-coronaric bypass anastomoses. Zbl 1063.49029
Quarteroni, Alfio; Rozza, Gianluigi
2003
A reduced basis hybrid method for the coupling of parametrized domains represented by fluidic networks. Zbl 1253.76139
Iapichino, Laura; Quarteroni, Alfio; Rozza, Gianluigi
2012
Reduced basis method for multi-parameter-dependent steady Navier-Stokes equations: applications to natural convection in a cavity. Zbl 1260.76024
Deparis, Simone; Rozza, Gianluigi
2009
Reduced basis approximation of parametrized optimal flow control problems for the Stokes equations. Zbl 1421.49026
Negri, Federico; Manzoni, Andrea; Rozza, Gianluigi
2015
Reduced order methods for modeling and computational reduction. Zbl 1280.65004
Quarteroni, Alfio (ed.); Rozza, Gianluigi (ed.)
2014
Finite volume POD-Galerkin stabilised reduced order methods for the parametrised incompressible Navier-Stokes equations. Zbl 1410.76264
Stabile, Giovanni; Rozza, Gianluigi
2018
Multilevel and weighted reduced basis method for stochastic optimal control problems constrained by Stokes equations. Zbl 1344.93109
Chen, Peng; Quarteroni, Alfio; Rozza, Gianluigi
2016
A reduced basis method for evolution schemes with parameter-dependent explicit operators. Zbl 1391.76413
Haasdonk, B.; Ohlberger, M.; Rozza, G.
2008
On optimization, control and shape design of an arterial bypass. Zbl 1155.76439
Rozza, Gianluigi
2005
Reduced basis methods for uncertainty quantification. Zbl 1400.65010
Chen, Peng; Quarteroni, Alfio; Rozza, Gianluigi
2017
POD-Galerkin reduced order methods for CFD using finite volume discretisation: vortex shedding around a circular cylinder. Zbl 1383.35175
Stabile, Giovanni; Hijazi, Saddam; Mola, Andrea; Lorenzi, Stefano; Rozza, Gianluigi
2017
Stabilized reduced basis method for parametrized advection-diffusion PDEs. Zbl 1296.65165
Pacciarini, Paolo; Rozza, Gianluigi
2014
Reduced basis method for linear elasticity problems with many parameters. Zbl 1194.74445
Milani, Roberto; Quarteroni, Alfio; Rozza, Gianluigi
2008
Stochastic optimal Robin boundary control problems of advection-dominated elliptic equations. Zbl 1281.49015
Chen, Peng; Quarteroni, Alfio; Rozza, Gianluigi
2013
Reduced basis approximation and error bounds for potential flows in parametrized geometries. Zbl 1284.76295
Rozza, Gianluigi
2011
A weighted empirical interpolation method: a priori convergence analysis and applications. Zbl 1304.65097
Chen, Peng; Quarteroni, Alfio; Rozza, Gianluigi
2014
On a certified Smagorinsky reduced basis turbulence model. Zbl 1380.65339
Chacón Rebollo, Tomás; Delgado Ávila, Enrique; Mármol, Macarena Gómez; Ballarin, Francesco; Rozza, Gianluigi
2017
Reduced basis approximation and a-posteriori error estimation for the coupled Stokes-Darcy system. Zbl 1336.76021
Martini, Immanuel; Rozza, Gianluigi; Haasdonk, Bernard
2015
Agoshkov, Valery; Quarteroni, Alfio; Rozza, Gianluigi
2006
Fast simulations of patient-specific haemodynamics of coronary artery bypass grafts based on a POD-Galerkin method and a vascular shape parametrization. Zbl 1349.76173
Ballarin, Francesco; Faggiano, Elena; Ippolito, Sonia; Manzoni, Andrea; Quarteroni, Alfio; Rozza, Gianluigi; Scrofani, Roberto
2016
Shape optimization for viscous flows by reduced basis methods and free-form deformation. Zbl 1412.76031
Manzoni, Andrea; Quarteroni, Alfio; Rozza, Gianluigi
2012
Reduced basis approximation for shape optimization in thermal flows with a parametrized polynomial geometric map. Zbl 1430.76366
Rozza, Gianluigi; Lassila, Toni; Manzoni, Andrea
2011
Reduced-basis methods for elliptic equations in sub-domains with a posteriori error bounds and adaptivity. Zbl 1112.65122
Rozza, Gianluigi
2005
Computational reduction for parametrized PDEs: strategies and applications. Zbl 1432.65171
Manzoni, Andrea; Quarteroni, Alfio; Rozza, Gianluigi
2012
Numerical approximation of a control problem for advection-diffusion processes. Zbl 1214.49029
Quarteroni, A.; Rozza, G.; Dedè, L.; Quaini, A.
2006
On the approximation of stability factors for general parametrized partial differential equations with a two-level affine decomposition. Zbl 1276.65069
Lassila, Toni; Manzoni, Andrea; Rozza, Gianluigi
2012
A reduced basis model with parametric coupling for fluid-structure interaction problems. Zbl 1390.74053
Lassila, Toni; Quarteroni, Alfio; Rozza, Gianluigi
2012
Model reduction of parametrized systems. Selected contributions based on the presentations at the MoRePaS conference, SISSA, Trieste, Italy, October 13–16, 2015. Zbl 1381.65001
Benner, Peter (ed.); Ohlberger, Mario (ed.); Patera, Anthony (ed.); Rozza, Gianluigi (ed.); Urban, Karsten (ed.)
2017
Boundary control and shape optimization for the robust design of bypass anastomoses under uncertainty. Zbl 1402.92246
Lassila, Toni; Manzoni, Andrea; Quarteroni, Alfio; Rozza, Gianluigi
2013
On the application of reduced basis methods to bifurcation problems in incompressible fluid dynamics. Zbl 1433.76122
Pitton, Giuseppe; Rozza, Gianluigi
2017
Shape optimization by free-form deformation: existence results and numerical solution for Stokes flows. Zbl 1303.49017
Ballarin, Francesco; Manzoni, Andrea; Rozza, Gianluigi; Salsa, Sandro
2014
An improvement on geometrical parameterizations by transfinite maps. Zbl 1302.35167
Jäggli, Christoph; Iapichino, Laura; Rozza, Gianluigi
2014
Generalized reduced basis methods and $$n$$-width estimates for the approximation of the solution manifold of parametric PDEs. Zbl 1347.41033
Lassila, Toni; Manzoni, Andrea; Quarteroni, Alfio; Rozza, Gianluigi
2013
A mathematical approach in the design of arterial bypass using unsteady Stokes equations. Zbl 1158.76452
Agoshkov, Valery; Quarteroni, Alfio; Rozza, Gianluigi
2006
Stabilized weighted reduced basis methods for parametrized advection dominated problems with random inputs. Zbl 1408.35021
Torlo, Davide; Ballarin, Francesco; Rozza, Gianluigi
2018
On computing upper and lower bounds on the outputs of linear elasticity problems approximated by the smoothed finite element method. Zbl 1193.74160
Xuan, Z. C.; Lassila, T.; Rozza, G.; Quarteroni, A.
2010
A reduced order variational multiscale approach for turbulent flows. Zbl 1435.65165
Stabile, Giovanni; Ballarin, Francesco; Zuccarino, Giacomo; Rozza, Gianluigi
2019
Model reduction for parametrized optimal control problems in environmental marine sciences and engineering. Zbl 1395.49015
Strazzullo, Maria; Ballarin, Francesco; Mosetti, Renzo; Rozza, Gianluigi
2018
Reduced-order semi-implicit schemes for fluid-structure interaction problems. Zbl 06861097
Ballarin, Francesco; Rozza, Gianluigi; Maday, Yvon
2017
Comparison and combination of reduced-order modelling techniques in 3D parametrized heat transfer problems. Zbl 1302.80014
Gelsomino, Fabrizio; Rozza, Gianluigi
2011
A reduced order approach for the embedded shifted boundary FEM and a heat exchange system on parametrized geometries. Zbl 1442.65376
Karatzas, Efthymios N.; Stabile, Giovanni; Atallah, Nabil; Scovazzi, Guglielmo; Rozza, Gianluigi
2020
Reduced basis approaches for parametrized bifurcation problems held by non-linear von Kármán equations. Zbl 1427.35275
Pichi, Federico; Rozza, Gianluigi
2019
Reduced basis approximation and a posteriori error estimation: applications to elasticity problems in several parametric settings. Zbl 1416.65452
Huynh, Dinh Bao Phuong; Pichi, Federico; Rozza, Gianluigi
2018
POD-Galerkin method for finite volume approximation of Navier-Stokes and RANS equations. Zbl 1439.76112
Lorenzi, Stefano; Cammi, Antonio; Luzzi, Lelio; Rozza, Gianluigi
2016
Reduced basis approximation of parametrized advection-diffusion PDEs with high Péclet number. Zbl 1320.65180
Pacciarini, Paolo; Rozza, Gianluigi
2015
Fundamentals of reduced basis method for problems governed by parametrized PDEs and applications. Zbl 1312.93027
Rozza, Gianluigi
2014
Free form deformation techniques applied to 3D shape optimization problems. Zbl 1329.49091
Rozza, Gianluigi; Koshakji, Anwar; Quarteroni, Alfio
2013
Data-driven POD-Galerkin reduced order model for turbulent flows. Zbl 1437.76015
Hijazi, Saddam; Stabile, Giovanni; Mola, Andrea; Rozza, Gianluigi
2020
A localized reduced-order modeling approach for PDEs with bifurcating solutions. Zbl 1441.65082
Hess, Martin; Alla, Alessandro; Quaini, Annalisa; Rozza, Gianluigi; Gunzburger, Max
2019
Certified reduced basis approximation for the coupling of viscous and inviscid parametrized flow models. Zbl 1398.76116
Martini, Immanuel; Haasdonk, Bernard; Rozza, Gianluigi
2018
A reduced order model for investigating the dynamics of the Gen-IV LFR coolant pool. Zbl 1443.76050
Lorenzi, Stefano; Cammi, Antonio; Luzzi, Lelio; Rozza, Gianluigi
2017
Certified reduced basis method for affinely parametric isogeometric analysis NURBS approximation. Zbl 1382.65387
Devaud, Denis; Rozza, Gianluigi
2017
Reduced basis approaches in time-dependent non-coercive settings for modelling the movement of nuclear reactor control rods. Zbl 1388.65106
Sartori, Alberto; Cammi, Antonio; Luzzi, Lelio; Rozza, Gianluigi
2016
Generalized reduced basis methods and $$n$$-width estimates for the approximation of the solution manifold of parametric PDEs. Zbl 1273.35024
Lassila, Toni; Manzoni, Andrea; Quarteroni, Alfio; Rozza, Gianluigi
2013
Model reduction of semiaffinely parameterized partial differential equations by two-level affine approximation. Zbl 1211.35019
Lassila, Toni; Rozza, Gianluigi
2011
A reduced order approach for the embedded shifted boundary FEM and a heat exchange system on parametrized geometries. Zbl 1442.65376
Karatzas, Efthymios N.; Stabile, Giovanni; Atallah, Nabil; Scovazzi, Guglielmo; Rozza, Gianluigi
2020
Data-driven POD-Galerkin reduced order model for turbulent flows. Zbl 1437.76015
Hijazi, Saddam; Stabile, Giovanni; Mola, Andrea; Rozza, Gianluigi
2020
A reduced order variational multiscale approach for turbulent flows. Zbl 1435.65165
Stabile, Giovanni; Ballarin, Francesco; Zuccarino, Giacomo; Rozza, Gianluigi
2019
Reduced basis approaches for parametrized bifurcation problems held by non-linear von Kármán equations. Zbl 1427.35275
Pichi, Federico; Rozza, Gianluigi
2019
A localized reduced-order modeling approach for PDEs with bifurcating solutions. Zbl 1441.65082
Hess, Martin; Alla, Alessandro; Quaini, Annalisa; Rozza, Gianluigi; Gunzburger, Max
2019
Finite volume POD-Galerkin stabilised reduced order methods for the parametrised incompressible Navier-Stokes equations. Zbl 1410.76264
Stabile, Giovanni; Rozza, Gianluigi
2018
Stabilized weighted reduced basis methods for parametrized advection dominated problems with random inputs. Zbl 1408.35021
Torlo, Davide; Ballarin, Francesco; Rozza, Gianluigi
2018
Model reduction for parametrized optimal control problems in environmental marine sciences and engineering. Zbl 1395.49015
Strazzullo, Maria; Ballarin, Francesco; Mosetti, Renzo; Rozza, Gianluigi
2018
Reduced basis approximation and a posteriori error estimation: applications to elasticity problems in several parametric settings. Zbl 1416.65452
Huynh, Dinh Bao Phuong; Pichi, Federico; Rozza, Gianluigi
2018
Certified reduced basis approximation for the coupling of viscous and inviscid parametrized flow models. Zbl 1398.76116
Martini, Immanuel; Haasdonk, Bernard; Rozza, Gianluigi
2018
Reduced basis methods for uncertainty quantification. Zbl 1400.65010
Chen, Peng; Quarteroni, Alfio; Rozza, Gianluigi
2017
POD-Galerkin reduced order methods for CFD using finite volume discretisation: vortex shedding around a circular cylinder. Zbl 1383.35175
Stabile, Giovanni; Hijazi, Saddam; Mola, Andrea; Lorenzi, Stefano; Rozza, Gianluigi
2017
On a certified Smagorinsky reduced basis turbulence model. Zbl 1380.65339
Chacón Rebollo, Tomás; Delgado Ávila, Enrique; Mármol, Macarena Gómez; Ballarin, Francesco; Rozza, Gianluigi
2017
Model reduction of parametrized systems. Selected contributions based on the presentations at the MoRePaS conference, SISSA, Trieste, Italy, October 13–16, 2015. Zbl 1381.65001
Benner, Peter (ed.); Ohlberger, Mario (ed.); Patera, Anthony (ed.); Rozza, Gianluigi (ed.); Urban, Karsten (ed.)
2017
On the application of reduced basis methods to bifurcation problems in incompressible fluid dynamics. Zbl 1433.76122
Pitton, Giuseppe; Rozza, Gianluigi
2017
Reduced-order semi-implicit schemes for fluid-structure interaction problems. Zbl 06861097
Ballarin, Francesco; Rozza, Gianluigi; Maday, Yvon
2017
A reduced order model for investigating the dynamics of the Gen-IV LFR coolant pool. Zbl 1443.76050
Lorenzi, Stefano; Cammi, Antonio; Luzzi, Lelio; Rozza, Gianluigi
2017
Certified reduced basis method for affinely parametric isogeometric analysis NURBS approximation. Zbl 1382.65387
Devaud, Denis; Rozza, Gianluigi
2017
Certified reduced basis methods for parametrized partial differential equations. Zbl 1329.65203
Hesthaven, Jan S.; Rozza, Gianluigi; Stamm, Benjamin
2016
Multilevel and weighted reduced basis method for stochastic optimal control problems constrained by Stokes equations. Zbl 1344.93109
Chen, Peng; Quarteroni, Alfio; Rozza, Gianluigi
2016
Fast simulations of patient-specific haemodynamics of coronary artery bypass grafts based on a POD-Galerkin method and a vascular shape parametrization. Zbl 1349.76173
Ballarin, Francesco; Faggiano, Elena; Ippolito, Sonia; Manzoni, Andrea; Quarteroni, Alfio; Rozza, Gianluigi; Scrofani, Roberto
2016
POD-Galerkin method for finite volume approximation of Navier-Stokes and RANS equations. Zbl 1439.76112
Lorenzi, Stefano; Cammi, Antonio; Luzzi, Lelio; Rozza, Gianluigi
2016
Reduced basis approaches in time-dependent non-coercive settings for modelling the movement of nuclear reactor control rods. Zbl 1388.65106
Sartori, Alberto; Cammi, Antonio; Luzzi, Lelio; Rozza, Gianluigi
2016
Supremizer stabilization of POD-Galerkin approximation of parametrized steady incompressible Navier-Stokes equations. Zbl 1352.76039
Ballarin, Francesco; Manzoni, Andrea; Quarteroni, Alfio; Rozza, Gianluigi
2015
Reduced basis approximation of parametrized optimal flow control problems for the Stokes equations. Zbl 1421.49026
Negri, Federico; Manzoni, Andrea; Rozza, Gianluigi
2015
Reduced basis approximation and a-posteriori error estimation for the coupled Stokes-Darcy system. Zbl 1336.76021
Martini, Immanuel; Rozza, Gianluigi; Haasdonk, Bernard
2015
Reduced basis approximation of parametrized advection-diffusion PDEs with high Péclet number. Zbl 1320.65180
Pacciarini, Paolo; Rozza, Gianluigi
2015
Model order reduction in fluid dynamics: challenges and perspectives. Zbl 1395.76058
Lassila, Toni; Manzoni, Andrea; Quarteroni, Alfio; Rozza, Gianluigi
2014
Comparison between reduced basis and stochastic collocation methods for elliptic problems. Zbl 1301.65007
Chen, Peng; Quarteroni, Alfio; Rozza, Gianluigi
2014
Reduced order methods for modeling and computational reduction. Zbl 1280.65004
Quarteroni, Alfio (ed.); Rozza, Gianluigi (ed.)
2014
Stabilized reduced basis method for parametrized advection-diffusion PDEs. Zbl 1296.65165
Pacciarini, Paolo; Rozza, Gianluigi
2014
A weighted empirical interpolation method: a priori convergence analysis and applications. Zbl 1304.65097
Chen, Peng; Quarteroni, Alfio; Rozza, Gianluigi
2014
Shape optimization by free-form deformation: existence results and numerical solution for Stokes flows. Zbl 1303.49017
Ballarin, Francesco; Manzoni, Andrea; Rozza, Gianluigi; Salsa, Sandro
2014
An improvement on geometrical parameterizations by transfinite maps. Zbl 1302.35167
Jäggli, Christoph; Iapichino, Laura; Rozza, Gianluigi
2014
Fundamentals of reduced basis method for problems governed by parametrized PDEs and applications. Zbl 1312.93027
Rozza, Gianluigi
2014
Reduced basis approximation and a posteriori error estimation for Stokes flows in parametrized geometries: roles of the inf-sup stability constants. Zbl 1318.76006
Rozza, Gianluigi; Huynh, D. B. Phuong; Manzoni, Andrea
2013
Reduced basis method for parametrized elliptic optimal control problems. Zbl 1280.49046
Negri, Federico; Rozza, Gianluigi; Manzoni, Andrea; Quarteroni, Alfio
2013
A weighted reduced basis method for elliptic partial differential equations with random input data. Zbl 1288.65007
Chen, Peng; Quarteroni, Alfio; Rozza, Gianluigi
2013
Stochastic optimal Robin boundary control problems of advection-dominated elliptic equations. Zbl 1281.49015
Chen, Peng; Quarteroni, Alfio; Rozza, Gianluigi
2013
Boundary control and shape optimization for the robust design of bypass anastomoses under uncertainty. Zbl 1402.92246
Lassila, Toni; Manzoni, Andrea; Quarteroni, Alfio; Rozza, Gianluigi
2013
Generalized reduced basis methods and $$n$$-width estimates for the approximation of the solution manifold of parametric PDEs. Zbl 1347.41033
Lassila, Toni; Manzoni, Andrea; Quarteroni, Alfio; Rozza, Gianluigi
2013
Free form deformation techniques applied to 3D shape optimization problems. Zbl 1329.49091
Rozza, Gianluigi; Koshakji, Anwar; Quarteroni, Alfio
2013
Generalized reduced basis methods and $$n$$-width estimates for the approximation of the solution manifold of parametric PDEs. Zbl 1273.35024
Lassila, Toni; Manzoni, Andrea; Quarteroni, Alfio; Rozza, Gianluigi
2013
A reduced basis hybrid method for the coupling of parametrized domains represented by fluidic networks. Zbl 1253.76139
Iapichino, Laura; Quarteroni, Alfio; Rozza, Gianluigi
2012
Shape optimization for viscous flows by reduced basis methods and free-form deformation. Zbl 1412.76031
Manzoni, Andrea; Quarteroni, Alfio; Rozza, Gianluigi
2012
Computational reduction for parametrized PDEs: strategies and applications. Zbl 1432.65171
Manzoni, Andrea; Quarteroni, Alfio; Rozza, Gianluigi
2012
On the approximation of stability factors for general parametrized partial differential equations with a two-level affine decomposition. Zbl 1276.65069
Lassila, Toni; Manzoni, Andrea; Rozza, Gianluigi
2012
A reduced basis model with parametric coupling for fluid-structure interaction problems. Zbl 1390.74053
Lassila, Toni; Quarteroni, Alfio; Rozza, Gianluigi
2012
Certified reduced basis approximation for parametrized partial differential equations and applications. Zbl 1273.65148
Quarteroni, Alfio; Rozza, Gianluigi; Manzoni, Andrea
2011
Reduced basis approximation and error bounds for potential flows in parametrized geometries. Zbl 1284.76295
Rozza, Gianluigi
2011
Reduced basis approximation for shape optimization in thermal flows with a parametrized polynomial geometric map. Zbl 1430.76366
Rozza, Gianluigi; Lassila, Toni; Manzoni, Andrea
2011
Comparison and combination of reduced-order modelling techniques in 3D parametrized heat transfer problems. Zbl 1302.80014
Gelsomino, Fabrizio; Rozza, Gianluigi
2011
Model reduction of semiaffinely parameterized partial differential equations by two-level affine approximation. Zbl 1211.35019
Lassila, Toni; Rozza, Gianluigi
2011
Parametric free-form shape design with PDE models and reduced basis method. Zbl 1231.76245
Lassila, Toni; Rozza, Gianluigi
2010
On computing upper and lower bounds on the outputs of linear elasticity problems approximated by the smoothed finite element method. Zbl 1193.74160
Xuan, Z. C.; Lassila, T.; Rozza, G.; Quarteroni, A.
2010
Reduced basis approximation and a posteriori error estimation for the time-dependent viscous Burgers’ equation. Zbl 1178.65109
Nguyen, Ngoc-Cuong; Rozza, Gianluigi; Patera, Anthony T.
2009
Reduced basis method for multi-parameter-dependent steady Navier-Stokes equations: applications to natural convection in a cavity. Zbl 1260.76024
Deparis, Simone; Rozza, Gianluigi
2009
Reduced basis approximation and a posteriori error estimation for affinely parametrized elliptic coercive partial differential equations. Application to transport and continuum mechanics. Zbl 1304.65251
Rozza, G.; Huynh, D. B. P.; Patera, A. T.
2008
A reduced basis method for evolution schemes with parameter-dependent explicit operators. Zbl 1391.76413
Haasdonk, B.; Ohlberger, M.; Rozza, G.
2008
Reduced basis method for linear elasticity problems with many parameters. Zbl 1194.74445
Milani, Roberto; Quarteroni, Alfio; Rozza, Gianluigi
2008
A successive constraint linear optimization method for lower bounds of parametric coercivity and inf-sup stability constants. Zbl 1127.65086
Huynh, D. B. P.; Rozza, G.; Sen, S.; Patera, A. T.
2007
On the stability of the reduced basis method for Stokes equations in parametrized domains. Zbl 1173.76352
Rozza, Gianluigi; Veroy, Karen
2007
Numerical solution of parametrized Navier-Stokes equations by reduced basis methods. Zbl 1178.76238
Quarteroni, Alfio; Rozza, Gianluigi
2007
Agoshkov, Valery; Quarteroni, Alfio; Rozza, Gianluigi
2006
Numerical approximation of a control problem for advection-diffusion processes. Zbl 1214.49029
Quarteroni, A.; Rozza, G.; Dedè, L.; Quaini, A.
2006
A mathematical approach in the design of arterial bypass using unsteady Stokes equations. Zbl 1158.76452
Agoshkov, Valery; Quarteroni, Alfio; Rozza, Gianluigi
2006
On optimization, control and shape design of an arterial bypass. Zbl 1155.76439
Rozza, Gianluigi
2005
Reduced-basis methods for elliptic equations in sub-domains with a posteriori error bounds and adaptivity. Zbl 1112.65122
Rozza, Gianluigi
2005
Optimal control and shape optimization of aorto-coronaric bypass anastomoses. Zbl 1063.49029
Quarteroni, Alfio; Rozza, Gianluigi
2003
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Cited by 898 Authors

 54 Rozza, Gianluigi 28 Patera, Anthony T. 26 Quarteroni, Alfio M. 25 Manzoni, Andrea 19 Hesthaven, Jan S. 19 Maday, Yvon 14 Haasdonk, Bernard 13 Ballarin, Francesco 13 Chen, Yanlai 13 Ohlberger, Mario 12 Benner, Peter 12 Grepl, Martin A. 12 Willcox, Karen E. 11 Nguyen, Ngoc Cuong 11 Peherstorfer, Benjamin 11 Urban, Karsten 11 Veroy, Karen 10 Abdulle, Assyr 10 Iliescu, Traian 10 Knezevic, David J. 10 Luo, Zhendong 10 Schwab, Christoph 9 Chen, Peng 9 Deparis, Simone 9 Gunzburger, Max D. 9 Huynh, Dinh Bao Phuong 9 Stabile, Giovanni 9 Yano, Masayuki 8 Carlberg, Kevin T. 8 Chinesta, Francisco 8 Jiang, Lijian 8 Rave, Stephan David 8 Taddei, Tommaso 7 Amsallem, David 7 Bordas, Stéphane Pierre Alain 7 Cohen, Albert 7 Iapichino, Laura 7 Li, Qiuqi 7 Narayan, Akil C. 7 Néron, David 7 Smetana, Kathrin 7 Volkwein, Stefan 6 Dal Santo, Niccolò 6 Eftang, Jens L. 6 Gugercin, Serkan 6 Hinze, Michael 6 Nobile, Fabio 5 Bai, Yun 5 Chacón Rebollo, Tomás 5 Cueto, Elias 5 Guo, Mengwu 5 Hou, Thomas Yizhao 5 Huerta, Antonio 5 Kerfriden, Pierre 5 Kouri, Drew P. 5 Ladevèze, Pierre 5 Nouy, Anthony 5 Schneier, Michael 4 Aguado, Jose Vicente 4 Ammar, Amine 4 Bader, Eduard 4 Barone, Matthew F. 4 Budáč, Ondrej 4 Chakir, Rachida 4 DeVore, Ronald A. 4 Farhat, Charbel H. 4 Feng, Lihong 4 Gómez Mármol, Macarena 4 Hess, Martin W. 4 Hoang, K. C. 4 Kressner, Daniel 4 Lass, Oliver 4 Liu, Gui-Rong 4 Matthies, Hermann Georg 4 Mohebujjaman, Muhammad 4 Nair, Prasanth B. 4 Navon, Ionel Michael 4 Negri, Federico 4 Peraire, Jaime 4 San, Omer 4 Schindler, Felix 4 Wang, Zhu 4 Zhang, Zhenying 4 Zhu, Xueyu 4 Zlotnik, Sergio 3 Abisset-Chavanne, Emmanuelle 3 Afkham, Babak Maboudi 3 Audouze, Christophe 3 Azaïez, Mejdi 3 Ballani, Jonas 3 Bonizzoni, Francesca 3 Boyaval, Sébastien 3 Breitkopf, Piotr 3 Buhr, Andreas 3 Dahmen, Wolfgang A. 3 Dapogny, Charles 3 Dede, Luca 3 Delgado Ávila, Enrique 3 Dihlmann, Markus A. 3 Duraisamy, Karthik ...and 798 more Authors
all top 5

Cited in 86 Serials

 83 Computer Methods in Applied Mechanics and Engineering 57 Journal of Computational Physics 49 SIAM Journal on Scientific Computing 29 Advances in Computational Mathematics 28 Journal of Scientific Computing 27 International Journal for Numerical Methods in Engineering 20 Comptes Rendus. Mathématique. Académie des Sciences, Paris 19 SIAM/ASA Journal on Uncertainty Quantification 17 Computers & Mathematics with Applications 17 Journal of Computational and Applied Mathematics 14 Mathematical and Computer Modelling of Dynamical Systems 14 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 12 Computational Mechanics 10 Computers and Fluids 10 SIAM Journal on Numerical Analysis 10 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 10 Archives of Computational Methods in Engineering 9 Applied Numerical Mathematics 8 Applied Mathematical Modelling 7 Numerische Mathematik 6 Applied Mathematics and Computation 5 Journal of Mathematical Analysis and Applications 4 Mathematics of Computation 4 Foundations of Computational Mathematics 4 Multiscale Modeling & Simulation 4 Journal of Mathematics in Industry 3 SIAM Journal on Matrix Analysis and Applications 3 SIAM Journal on Mathematical Analysis 3 SIAM Review 3 Computational Optimization and Applications 3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 3 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 3 Computational Geosciences 3 Discrete and Continuous Dynamical Systems. Series S 3 Communications in Applied and Industrial Mathematics 3 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 2 Acta Applicandae Mathematicae 2 COMPEL 2 Numerical Methods for Partial Differential Equations 2 Applied Mathematics Letters 2 Numerical Algorithms 2 Computational and Applied Mathematics 2 Journal of Inequalities and Applications 2 Optimization and Engineering 2 Analysis and Applications (Singapore) 2 Inverse Problems in Science and Engineering 1 Acta Mechanica 1 International Journal for Numerical Methods in Fluids 1 BIT 1 Calcolo 1 Journal of Optimization Theory and Applications 1 Mathematics of Operations Research 1 Meccanica 1 Numerical Functional Analysis and Optimization 1 SIAM Journal on Control and Optimization 1 Chinese Annals of Mathematics. Series B 1 Bulletin of the Iranian Mathematical Society 1 MCSS. Mathematics of Control, Signals, and Systems 1 Annals of Operations Research 1 Computational Statistics and Data Analysis 1 Indagationes Mathematicae. New Series 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Applied Mathematics. Series B (English Edition) 1 International Journal of Numerical Methods for Heat & Fluid Flow 1 Advances in Applied Clifford Algebras 1 Optimization Methods & Software 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Mathematical & Computational Applications 1 European Journal of Mechanics. A. Solids 1 Computational Methods in Applied Mathematics 1 Advanced Nonlinear Studies 1 Milan Journal of Mathematics 1 SIAM Journal on Applied Dynamical Systems 1 4OR 1 Acta Numerica 1 Advances in Difference Equations 1 Acta Mechanica Sinica 1 Mathematical Modelling of Natural Phenomena 1 SIAM Journal on Imaging Sciences 1 Journal of Nonlinear Science and Applications 1 SIAM Journal on Financial Mathematics 1 Stochastic and Partial Differential Equations. Analysis and Computations 1 East Asian Journal on Applied Mathematics 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Mathematics in Engineering 1 Electronic Research Archive
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Cited in 37 Fields

 462 Numerical analysis (65-XX) 210 Partial differential equations (35-XX) 163 Fluid mechanics (76-XX) 90 Mechanics of deformable solids (74-XX) 67 Calculus of variations and optimal control; optimization (49-XX) 43 Probability theory and stochastic processes (60-XX) 42 Statistics (62-XX) 35 Operations research, mathematical programming (90-XX) 35 Systems theory; control (93-XX) 29 Biology and other natural sciences (92-XX) 22 Optics, electromagnetic theory (78-XX) 21 Computer science (68-XX) 19 Approximations and expansions (41-XX) 17 Dynamical systems and ergodic theory (37-XX) 11 Statistical mechanics, structure of matter (82-XX) 10 Classical thermodynamics, heat transfer (80-XX) 9 Linear and multilinear algebra; matrix theory (15-XX) 9 Ordinary differential equations (34-XX) 7 Operator theory (47-XX) 6 Geophysics (86-XX) 5 Mechanics of particles and systems (70-XX) 3 General and overarching topics; collections (00-XX) 3 Combinatorics (05-XX) 3 Functions of a complex variable (30-XX) 3 Quantum theory (81-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Functional analysis (46-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Information and communication theory, circuits (94-XX) 1 Number theory (11-XX) 1 Real functions (26-XX) 1 Difference and functional equations (39-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Differential geometry (53-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mathematics education (97-XX)

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