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Rozza, Gianluigi

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Author ID: rozza.gianluigi Recent zbMATH articles by "Rozza, Gianluigi"
Published as: Rozza, G.; Rozza, Gianluigi
External Links: MGP · Wikidata · ORCID · dblp
Documents Indexed: 97 Publications since 2003, including 9 Books
all top 5

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
all top 5

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

Publications by Year

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.
286
2008
Certified reduced basis methods for parametrized partial differential equations. Zbl 1329.65203
Hesthaven, Jan S.; Rozza, Gianluigi; Stamm, Benjamin
128
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.
89
2007
On the stability of the reduced basis method for Stokes equations in parametrized domains. Zbl 1173.76352
Rozza, Gianluigi; Veroy, Karen
76
2007
Certified reduced basis approximation for parametrized partial differential equations and applications. Zbl 1273.65148
Quarteroni, Alfio; Rozza, Gianluigi; Manzoni, Andrea
73
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
46
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
43
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.
40
2009
Numerical solution of parametrized Navier-Stokes equations by reduced basis methods. Zbl 1178.76238
Quarteroni, Alfio; Rozza, Gianluigi
36
2007
Parametric free-form shape design with PDE models and reduced basis method. Zbl 1231.76245
Lassila, Toni; Rozza, Gianluigi
33
2010
Reduced basis method for parametrized elliptic optimal control problems. Zbl 1280.49046
Negri, Federico; Rozza, Gianluigi; Manzoni, Andrea; Quarteroni, Alfio
31
2013
Model order reduction in fluid dynamics: challenges and perspectives. Zbl 1395.76058
Lassila, Toni; Manzoni, Andrea; Quarteroni, Alfio; Rozza, Gianluigi
29
2014
Comparison between reduced basis and stochastic collocation methods for elliptic problems. Zbl 1301.65007
Chen, Peng; Quarteroni, Alfio; Rozza, Gianluigi
27
2014
A weighted reduced basis method for elliptic partial differential equations with random input data. Zbl 1288.65007
Chen, Peng; Quarteroni, Alfio; Rozza, Gianluigi
27
2013
Optimal control and shape optimization of aorto-coronaric bypass anastomoses. Zbl 1063.49029
Quarteroni, Alfio; Rozza, Gianluigi
25
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
24
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
22
2009
Reduced basis approximation of parametrized optimal flow control problems for the Stokes equations. Zbl 1421.49026
Negri, Federico; Manzoni, Andrea; Rozza, Gianluigi
21
2015
Reduced order methods for modeling and computational reduction. Zbl 1280.65004
Quarteroni, Alfio (ed.); Rozza, Gianluigi (ed.)
20
2014
Finite volume POD-Galerkin stabilised reduced order methods for the parametrised incompressible Navier-Stokes equations. Zbl 1410.76264
Stabile, Giovanni; Rozza, Gianluigi
19
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
18
2016
A reduced basis method for evolution schemes with parameter-dependent explicit operators. Zbl 1391.76413
Haasdonk, B.; Ohlberger, M.; Rozza, G.
18
2008
On optimization, control and shape design of an arterial bypass. Zbl 1155.76439
Rozza, Gianluigi
16
2005
Reduced basis methods for uncertainty quantification. Zbl 1400.65010
Chen, Peng; Quarteroni, Alfio; Rozza, Gianluigi
15
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
15
2017
Stabilized reduced basis method for parametrized advection-diffusion PDEs. Zbl 1296.65165
Pacciarini, Paolo; Rozza, Gianluigi
15
2014
Reduced basis method for linear elasticity problems with many parameters. Zbl 1194.74445
Milani, Roberto; Quarteroni, Alfio; Rozza, Gianluigi
15
2008
Stochastic optimal Robin boundary control problems of advection-dominated elliptic equations. Zbl 1281.49015
Chen, Peng; Quarteroni, Alfio; Rozza, Gianluigi
14
2013
Reduced basis approximation and error bounds for potential flows in parametrized geometries. Zbl 1284.76295
Rozza, Gianluigi
14
2011
A weighted empirical interpolation method: a priori convergence analysis and applications. Zbl 1304.65097
Chen, Peng; Quarteroni, Alfio; Rozza, Gianluigi
13
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
12
2017
Reduced basis approximation and a-posteriori error estimation for the coupled Stokes-Darcy system. Zbl 1336.76021
Martini, Immanuel; Rozza, Gianluigi; Haasdonk, Bernard
12
2015
Shape design in aorto-coronaric bypass anastomoses using perturbation theory. Zbl 1120.49037
Agoshkov, Valery; Quarteroni, Alfio; Rozza, Gianluigi
12
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
11
2016
Shape optimization for viscous flows by reduced basis methods and free-form deformation. Zbl 1412.76031
Manzoni, Andrea; Quarteroni, Alfio; Rozza, Gianluigi
11
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
11
2011
Reduced-basis methods for elliptic equations in sub-domains with a posteriori error bounds and adaptivity. Zbl 1112.65122
Rozza, Gianluigi
11
2005
Computational reduction for parametrized PDEs: strategies and applications. Zbl 1432.65171
Manzoni, Andrea; Quarteroni, Alfio; Rozza, Gianluigi
9
2012
Numerical approximation of a control problem for advection-diffusion processes. Zbl 1214.49029
Quarteroni, A.; Rozza, G.; Dedè, L.; Quaini, A.
9
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
8
2012
A reduced basis model with parametric coupling for fluid-structure interaction problems. Zbl 1390.74053
Lassila, Toni; Quarteroni, Alfio; Rozza, Gianluigi
8
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.)
7
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
7
2013
On the application of reduced basis methods to bifurcation problems in incompressible fluid dynamics. Zbl 1433.76122
Pitton, Giuseppe; Rozza, Gianluigi
6
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
6
2014
An improvement on geometrical parameterizations by transfinite maps. Zbl 1302.35167
Jäggli, Christoph; Iapichino, Laura; Rozza, Gianluigi
6
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
6
2013
A mathematical approach in the design of arterial bypass using unsteady Stokes equations. Zbl 1158.76452
Agoshkov, Valery; Quarteroni, Alfio; Rozza, Gianluigi
6
2006
Stabilized weighted reduced basis methods for parametrized advection dominated problems with random inputs. Zbl 1408.35021
Torlo, Davide; Ballarin, Francesco; Rozza, Gianluigi
5
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.
5
2010
A reduced order variational multiscale approach for turbulent flows. Zbl 1435.65165
Stabile, Giovanni; Ballarin, Francesco; Zuccarino, Giacomo; Rozza, Gianluigi
3
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
3
2018
Reduced-order semi-implicit schemes for fluid-structure interaction problems. Zbl 06861097
Ballarin, Francesco; Rozza, Gianluigi; Maday, Yvon
3
2017
Comparison and combination of reduced-order modelling techniques in 3D parametrized heat transfer problems. Zbl 1302.80014
Gelsomino, Fabrizio; Rozza, Gianluigi
3
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
2
2020
Reduced basis approaches for parametrized bifurcation problems held by non-linear von Kármán equations. Zbl 1427.35275
Pichi, Federico; Rozza, Gianluigi
2
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
2
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
2
2016
Reduced basis approximation of parametrized advection-diffusion PDEs with high Péclet number. Zbl 1320.65180
Pacciarini, Paolo; Rozza, Gianluigi
2
2015
Fundamentals of reduced basis method for problems governed by parametrized PDEs and applications. Zbl 1312.93027
Rozza, Gianluigi
2
2014
Free form deformation techniques applied to 3D shape optimization problems. Zbl 1329.49091
Rozza, Gianluigi; Koshakji, Anwar; Quarteroni, Alfio
2
2013
Data-driven POD-Galerkin reduced order model for turbulent flows. Zbl 1437.76015
Hijazi, Saddam; Stabile, Giovanni; Mola, Andrea; Rozza, Gianluigi
1
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
1
2019
Certified reduced basis approximation for the coupling of viscous and inviscid parametrized flow models. Zbl 1398.76116
Martini, Immanuel; Haasdonk, Bernard; Rozza, Gianluigi
1
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
1
2017
Certified reduced basis method for affinely parametric isogeometric analysis NURBS approximation. Zbl 1382.65387
Devaud, Denis; Rozza, Gianluigi
1
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
1
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
1
2013
Model reduction of semiaffinely parameterized partial differential equations by two-level affine approximation. Zbl 1211.35019
Lassila, Toni; Rozza, Gianluigi
1
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
2
2020
Data-driven POD-Galerkin reduced order model for turbulent flows. Zbl 1437.76015
Hijazi, Saddam; Stabile, Giovanni; Mola, Andrea; Rozza, Gianluigi
1
2020
A reduced order variational multiscale approach for turbulent flows. Zbl 1435.65165
Stabile, Giovanni; Ballarin, Francesco; Zuccarino, Giacomo; Rozza, Gianluigi
3
2019
Reduced basis approaches for parametrized bifurcation problems held by non-linear von Kármán equations. Zbl 1427.35275
Pichi, Federico; Rozza, Gianluigi
2
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
1
2019
Finite volume POD-Galerkin stabilised reduced order methods for the parametrised incompressible Navier-Stokes equations. Zbl 1410.76264
Stabile, Giovanni; Rozza, Gianluigi
19
2018
Stabilized weighted reduced basis methods for parametrized advection dominated problems with random inputs. Zbl 1408.35021
Torlo, Davide; Ballarin, Francesco; Rozza, Gianluigi
5
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
3
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
2
2018
Certified reduced basis approximation for the coupling of viscous and inviscid parametrized flow models. Zbl 1398.76116
Martini, Immanuel; Haasdonk, Bernard; Rozza, Gianluigi
1
2018
Reduced basis methods for uncertainty quantification. Zbl 1400.65010
Chen, Peng; Quarteroni, Alfio; Rozza, Gianluigi
15
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
15
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
12
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.)
7
2017
On the application of reduced basis methods to bifurcation problems in incompressible fluid dynamics. Zbl 1433.76122
Pitton, Giuseppe; Rozza, Gianluigi
6
2017
Reduced-order semi-implicit schemes for fluid-structure interaction problems. Zbl 06861097
Ballarin, Francesco; Rozza, Gianluigi; Maday, Yvon
3
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
1
2017
Certified reduced basis method for affinely parametric isogeometric analysis NURBS approximation. Zbl 1382.65387
Devaud, Denis; Rozza, Gianluigi
1
2017
Certified reduced basis methods for parametrized partial differential equations. Zbl 1329.65203
Hesthaven, Jan S.; Rozza, Gianluigi; Stamm, Benjamin
128
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
18
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
11
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
2
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
1
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
46
2015
Reduced basis approximation of parametrized optimal flow control problems for the Stokes equations. Zbl 1421.49026
Negri, Federico; Manzoni, Andrea; Rozza, Gianluigi
21
2015
Reduced basis approximation and a-posteriori error estimation for the coupled Stokes-Darcy system. Zbl 1336.76021
Martini, Immanuel; Rozza, Gianluigi; Haasdonk, Bernard
12
2015
Reduced basis approximation of parametrized advection-diffusion PDEs with high Péclet number. Zbl 1320.65180
Pacciarini, Paolo; Rozza, Gianluigi
2
2015
Model order reduction in fluid dynamics: challenges and perspectives. Zbl 1395.76058
Lassila, Toni; Manzoni, Andrea; Quarteroni, Alfio; Rozza, Gianluigi
29
2014
Comparison between reduced basis and stochastic collocation methods for elliptic problems. Zbl 1301.65007
Chen, Peng; Quarteroni, Alfio; Rozza, Gianluigi
27
2014
Reduced order methods for modeling and computational reduction. Zbl 1280.65004
Quarteroni, Alfio (ed.); Rozza, Gianluigi (ed.)
20
2014
Stabilized reduced basis method for parametrized advection-diffusion PDEs. Zbl 1296.65165
Pacciarini, Paolo; Rozza, Gianluigi
15
2014
A weighted empirical interpolation method: a priori convergence analysis and applications. Zbl 1304.65097
Chen, Peng; Quarteroni, Alfio; Rozza, Gianluigi
13
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
6
2014
An improvement on geometrical parameterizations by transfinite maps. Zbl 1302.35167
Jäggli, Christoph; Iapichino, Laura; Rozza, Gianluigi
6
2014
Fundamentals of reduced basis method for problems governed by parametrized PDEs and applications. Zbl 1312.93027
Rozza, Gianluigi
2
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
43
2013
Reduced basis method for parametrized elliptic optimal control problems. Zbl 1280.49046
Negri, Federico; Rozza, Gianluigi; Manzoni, Andrea; Quarteroni, Alfio
31
2013
A weighted reduced basis method for elliptic partial differential equations with random input data. Zbl 1288.65007
Chen, Peng; Quarteroni, Alfio; Rozza, Gianluigi
27
2013
Stochastic optimal Robin boundary control problems of advection-dominated elliptic equations. Zbl 1281.49015
Chen, Peng; Quarteroni, Alfio; Rozza, Gianluigi
14
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
7
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
6
2013
Free form deformation techniques applied to 3D shape optimization problems. Zbl 1329.49091
Rozza, Gianluigi; Koshakji, Anwar; Quarteroni, Alfio
2
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
1
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
24
2012
Shape optimization for viscous flows by reduced basis methods and free-form deformation. Zbl 1412.76031
Manzoni, Andrea; Quarteroni, Alfio; Rozza, Gianluigi
11
2012
Computational reduction for parametrized PDEs: strategies and applications. Zbl 1432.65171
Manzoni, Andrea; Quarteroni, Alfio; Rozza, Gianluigi
9
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
8
2012
A reduced basis model with parametric coupling for fluid-structure interaction problems. Zbl 1390.74053
Lassila, Toni; Quarteroni, Alfio; Rozza, Gianluigi
8
2012
Certified reduced basis approximation for parametrized partial differential equations and applications. Zbl 1273.65148
Quarteroni, Alfio; Rozza, Gianluigi; Manzoni, Andrea
73
2011
Reduced basis approximation and error bounds for potential flows in parametrized geometries. Zbl 1284.76295
Rozza, Gianluigi
14
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
11
2011
Comparison and combination of reduced-order modelling techniques in 3D parametrized heat transfer problems. Zbl 1302.80014
Gelsomino, Fabrizio; Rozza, Gianluigi
3
2011
Model reduction of semiaffinely parameterized partial differential equations by two-level affine approximation. Zbl 1211.35019
Lassila, Toni; Rozza, Gianluigi
1
2011
Parametric free-form shape design with PDE models and reduced basis method. Zbl 1231.76245
Lassila, Toni; Rozza, Gianluigi
33
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.
5
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.
40
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
22
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.
286
2008
A reduced basis method for evolution schemes with parameter-dependent explicit operators. Zbl 1391.76413
Haasdonk, B.; Ohlberger, M.; Rozza, G.
18
2008
Reduced basis method for linear elasticity problems with many parameters. Zbl 1194.74445
Milani, Roberto; Quarteroni, Alfio; Rozza, Gianluigi
15
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.
89
2007
On the stability of the reduced basis method for Stokes equations in parametrized domains. Zbl 1173.76352
Rozza, Gianluigi; Veroy, Karen
76
2007
Numerical solution of parametrized Navier-Stokes equations by reduced basis methods. Zbl 1178.76238
Quarteroni, Alfio; Rozza, Gianluigi
36
2007
Shape design in aorto-coronaric bypass anastomoses using perturbation theory. Zbl 1120.49037
Agoshkov, Valery; Quarteroni, Alfio; Rozza, Gianluigi
12
2006
Numerical approximation of a control problem for advection-diffusion processes. Zbl 1214.49029
Quarteroni, A.; Rozza, G.; Dedè, L.; Quaini, A.
9
2006
A mathematical approach in the design of arterial bypass using unsteady Stokes equations. Zbl 1158.76452
Agoshkov, Valery; Quarteroni, Alfio; Rozza, Gianluigi
6
2006
On optimization, control and shape design of an arterial bypass. Zbl 1155.76439
Rozza, Gianluigi
16
2005
Reduced-basis methods for elliptic equations in sub-domains with a posteriori error bounds and adaptivity. Zbl 1112.65122
Rozza, Gianluigi
11
2005
Optimal control and shape optimization of aorto-coronaric bypass anastomoses. Zbl 1063.49029
Quarteroni, Alfio; Rozza, Gianluigi
25
2003
all top 5

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
all top 5

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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