Advanced Reduced Order Methods with Applications in Computational Fluid Dynamics

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Publications

ATHENA: Advanced Techniques for High dimensional parameter spaces to Enhance Numerical Analysis

Author(s): Francesco Romor; Marco Tezzele; Gianluigi Rozza
Published in: software impacts, Issue 10, 2021, Page(s) 1-3, ISSN 2665-9638
Publisher: elsevier
DOI: 10.1016/j.simpa.2021.100133

The Neural Network shifted-proper orthogonal decomposition: A machine learning approach for non-linear reduction of hyperbolic equations

Author(s): Davide Papapicco; Nicola Demo; Michele Girfoglio; Giovanni Stabile; Gianluigi Rozza
Published in: Computer Methods in Applied Mechanics and Engineering, Issue 392, 2022, ISSN 0045-7825
Publisher: Elsevier BV
DOI: 10.1016/j.cma.2022.114687

Reduced Basis Approaches for Parametrized Bifurcation Problems held by Non-linear Von Kármán Equations

Author(s): Federico Pichi, Gianluigi Rozza
Published in: Journal of Scientific Computing, Issue 81/1, 2019, Page(s) 112-135, ISSN 0885-7474
Publisher: Kluwer Academic/Plenum Publishers
DOI: 10.1007/s10915-019-01003-3

A Reduced Order Modeling Technique to Study Bifurcating Phenomena: Application to the Gross--Pitaevskii Equation

Author(s): Federico Pichi, Annalisa Quaini, Gianluigi Rozza
Published in: SIAM Journal on Scientific Computing, Issue 42/5, 2020, Page(s) B1115-B1135, ISSN 1064-8275
Publisher: Society for Industrial and Applied Mathematics
DOI: 10.1137/20m1313106

Efficient geometrical parametrization for finite‐volume‐based reduced order methods

Author(s): Giovanni Stabile, Matteo Zancanaro, Gianluigi Rozza
Published in: International Journal for Numerical Methods in Engineering, Issue 121/12, 2020, Page(s) 2655-2682, ISSN 0029-5981
Publisher: John Wiley & Sons Inc.
DOI: 10.1002/nme.6324

A hybrid reduced order method for modelling turbulent heat transfer problems

Author(s): Sokratia Georgaka, Giovanni Stabile, Kelbij Star, Gianluigi Rozza, Michael J. Bluck
Published in: Computers & Fluids, Issue 208, 2020, Page(s) 104615, ISSN 0045-7930
Publisher: Pergamon Press Ltd.
DOI: 10.1016/j.compfluid.2020.104615

A non-intrusive approach for the reconstruction of POD modal coefficients through active subspaces

Author(s): Nicola Demo, Marco Tezzele, Gianluigi Rozza
Published in: Comptes Rendus Mécanique, Issue 347/11, 2019, Page(s) 873-881, ISSN 1631-0721
Publisher: Elsevier Masson
DOI: 10.1016/j.crme.2019.11.012

Certified Reduced Basis VMS-Smagorinsky model for natural convection flow in a cavity with variable height

Author(s): Francesco Ballarin, Tomás Chacón Rebollo, Enrique Delgado Ávila, Macarena Gómez Mármol, Gianluigi Rozza
Published in: Computers & Mathematics with Applications, Issue 80/5, 2020, Page(s) 973-989, ISSN 0898-1221
Publisher: Pergamon Press Ltd.
DOI: 10.1016/j.camwa.2020.05.013

Projection-based reduced order models for a cut finite element method in parametrized domains

Author(s): Efthymios N. Karatzas, Francesco Ballarin, Gianluigi Rozza
Published in: Computers & Mathematics with Applications, Issue 79/3, 2020, Page(s) 833-851, ISSN 0898-1221
Publisher: Pergamon Press Ltd.
DOI: 10.1016/j.camwa.2019.08.003

A reduced order variational multiscale approach for turbulent flows

Author(s): Giovanni Stabile, Francesco Ballarin, Giacomo Zuccarino, Gianluigi Rozza
Published in: Advances in Computational Mathematics, Issue 45/5-6, 2019, Page(s) 2349-2368, ISSN 1019-7168
Publisher: Kluwer Academic Publishers
DOI: 10.1007/s10444-019-09712-x

POD–Galerkin Model Order Reduction for Parametrized Time Dependent Linear Quadratic Optimal Control Problems in Saddle Point Formulation

Author(s): Maria Strazzullo, Francesco Ballarin, Gianluigi Rozza
Published in: Journal of Scientific Computing, Issue 83/3, 2020, Page(s) art. 55, ISSN 0885-7474
Publisher: Kluwer Academic/Plenum Publishers
DOI: 10.1007/s10915-020-01232-x

POD-Galerkin Model Order Reduction for Parametrized Nonlinear Time Dependent Optimal Flow Control: an Application to Shallow Water Equations

Author(s): Strazzullo, Maria; Ballarin, Francesco; Rozza, Gianluigi
Published in: Journal of Numerical Mathematics, Issue 30-1, 2021, Page(s) 63-84, ISSN 1569-3953
Publisher: De Gutyer
DOI: 10.1515/jnma-2020-0098

A locally conservative mixed finite element framework for coupled hydro-mechanical-chemical processes in heterogeneous porous media

Author(s): Teeratorn Kadeethum; Teeratorn Kadeethum; Sanghyun Lee; Francesco Ballarin; Francesco Ballarin; Jinhyun Choo; Hamidreza M. Nick; Hamidreza M. Nick
Published in: Computers & Geosciences: an international journal, Issue 152, 2021, ISSN 0098-3004
Publisher: Pergamon Press Ltd.
DOI: 10.1016/j.cageo.2021.104774

Reduced order methods for parametric optimal flow control in coronary bypass grafts, toward patient‐specific data assimilation

Author(s): Zakia Zainib, Francesco Ballarin, Stephen Fremes, Piero Triverio, Laura Jiménez‐Juan, Gianluigi Rozza
Published in: International Journal for Numerical Methods in Biomedical Engineering, 2020, ISSN 2040-7939
Publisher: John Wiley & Sons Ltd.
DOI: 10.1002/cnm.3367

POD–Galerkin reduced order methods for combined Navier–Stokes transport equations based on a hybrid FV-FE solver

Author(s): S. Busto, G. Stabile, G. Rozza, M.E. Vázquez-Cendón
Published in: Computers & Mathematics with Applications, Issue 79/2, 2020, Page(s) 256-273, ISSN 0898-1221
Publisher: Pergamon Press Ltd.
DOI: 10.1016/j.camwa.2019.06.026

On the comparison of LES data-driven reduced order approaches for hydroacoustic analysis

Author(s): Mahmoud Gadalla, Marta Cianferra, Marco Tezzele, Giovanni Stabile, Andrea Mola, Gianluigi Rozza
Published in: Computers & Fluids, Issue 216, 2021, Page(s) 104819, ISSN 0045-7930
Publisher: Pergamon Press Ltd.
DOI: 10.1016/j.compfluid.2020.104819

Data-driven POD-Galerkin reduced order model for turbulent flows

Author(s): Saddam Hijazi, Giovanni Stabile, Andrea Mola, Gianluigi Rozza
Published in: Journal of Computational Physics, Issue 416, 2020, Page(s) 109513, ISSN 0021-9991
Publisher: Academic Press
DOI: 10.1016/j.jcp.2020.109513

Reduced order models for the incompressible Navier-Stokes equations on collocated grids using a ‘discretize-then-project’ approach

Author(s): Sabrina Kelbij Star; Benjamin Sanderse; Giovanni Stabile; Gianluigi Rozza; Joris Degroote
Published in: International Journal for numerical methods and fluids, Issue 93-3, 2021, Page(s) 1-36, ISSN 1097-0363
Publisher: John Wiley & Sons Ltd
DOI: 10.1002/fld.4994

"Reduced order models for the incompressible Navier‐Stokes equations on collocated grids using a ‘discretize‐then‐project’ approach"

Author(s): Star, Sabrina Kelbij; Sanderse, Benjamin; Stabile, Giovanni; Rozza, Gianluigi; Degroote, Joris
Published in: International Journal for numerical methods in fluids, Issue 93-8, 2021, Page(s) 1-36, ISSN 1097-0363
Publisher: John Wiley & Sons Ltd
DOI: 10.48550/arxiv.2010.06964

Consistency of the full and reduced order models for evolve‐filter‐relax regularization of convection‐dominated, marginally‐resolved flows

Author(s): Maria Strazzullo; Michele Girfoglio; Francesco Ballarin; Traian Iliescu; Gianluigi Rozza
Published in: International Journal for Numerical methods and Engineering, 2022, Page(s) 1-31, ISSN 1097-0207
Publisher: John Wiley & Sons Ltd
DOI: 10.1002/nme.6942

A localized reduced-order modeling approach for PDEs with bifurcating solutions

Author(s): Martin Hess, Alessandro Alla, Annalisa Quaini, Gianluigi Rozza, Max Gunzburger
Published in: Computer Methods in Applied Mechanics and Engineering, Issue 351, 2019, Page(s) 379-403, ISSN 0045-7825
Publisher: Elsevier BV
DOI: 10.1016/j.cma.2019.03.050

Pressure Stabilization Strategies for a LES Filtering Reduced Order Model

Author(s): Michele Girfoglio; Annalisa Quaini; Gianluigi Rozza
Published in: Fluids, Issue 6-302, 2021, Page(s) 1-16, ISSN 2311-5521
Publisher: MDPI
DOI: 10.3390/fluids6090302

Reduced basis model order reduction for Navier–Stokes equations in domains with walls of varying curvature

Author(s): Martin W. Hess, Annalisa Quaini, Gianluigi Rozza
Published in: International Journal of Computational Fluid Dynamics, Issue 34/2, 2020, Page(s) 119-126, ISSN 1061-8562
Publisher: Taylor & Francis
DOI: 10.1080/10618562.2019.1645328

A Reduced Order Model for a Stable Embedded Boundary Parametrized Cahn–Hilliard Phase-Field System Based on Cut Finite Elements

Author(s): Efthymios N. Karatzas; Efthymios N. Karatzas; Gianluigi Rozza
Published in: Journal of Scientific Computing, Issue 89, 2021, Page(s) 1-29, ISSN 0885-7474
Publisher: Kluwer Academic/Plenum Publishers
DOI: 10.1007/s10915-021-01623-8

A Supervised Learning Approach Involving Active Subspaces for an Efficient Genetic Algorithm in High-Dimensional Optimization Problems

Author(s): Nicola Demo; Marco Tezzele; Gianluigi Rozza
Published in: Siam Journal on scientific computing, Issue 43-3, 2021, ISSN 1064-8275
Publisher: Society for Industrial and Applied Mathematics
DOI: 10.1137/20m1345219

Space-time POD-Galerkin approach for parametric flow control

Author(s): Ballarin, Francesco; Rozza, Gianluigi; Strazzullo, Maria
Published in: Handbook of numerical analysis, Issue vol 23 HNA, 2022, Page(s) chapter 9,308-334, ISSN 1570-8659
Publisher: Elsevier B.V.
DOI: 10.1016/bs.hna.2021.12.009

An efficient computational framework for naval shape design and optimization problems by means of data-driven reduced order modeling techniques

Author(s): Nicola Demo, Giulio Ortali, Gianluca Gustin, Gianluigi Rozza, Gianpiero Lavini
Published in: Bollettino dell'Unione Matematica Italiana, 2020, ISSN 1972-6724
Publisher: Unione Matematica Italiana
DOI: 10.1007/s40574-020-00263-4

A POD-Galerkin reduced order model for a LES filtering approach

Author(s): Michele Girfoglio; Annalisa Quaini; Gianluigi Rozza
Published in: Journal of Computational Physics, Issue 436, 2021, ISSN 0021-9991
Publisher: Academic Press
DOI: 10.1016/j.jcp.2021.110260

A reduced-order shifted boundary method for parametrized incompressible Navier–Stokes equations

Author(s): Efthymios N. Karatzas, Giovanni Stabile, Leo Nouveau, Guglielmo Scovazzi, Gianluigi Rozza
Published in: Computer Methods in Applied Mechanics and Engineering, Issue 370, 2020, Page(s) 113273, ISSN 0045-7825
Publisher: Elsevier BV
DOI: 10.1016/j.cma.2020.113273

Gaussian process approach within a data-driven POD framework for fluid dynamics engineering problems

Author(s): Ortali, Giulio; Demo, Nicola; Rozza, Gianluigi
Published in: Mathematics in Engineering, Issue Volume 4 issue 3, 2021, Page(s) 1-16, ISSN 2640-3501
Publisher: American Institute of Mathematical Sciences
DOI: 10.3934/mine.2022021

Stabilized reduced basis methods for parametrized steady Stokes and Navier–Stokes equations

Author(s): Shafqat Ali, Francesco Ballarin, Gianluigi Rozza
Published in: Computers & Mathematics with Applications, Issue 80/11, 2020, Page(s) 2399-2416, ISSN 0898-1221
Publisher: Pergamon Press Ltd.
DOI: 10.1016/j.camwa.2020.03.019

Efficient computation of bifurcation diagrams with a deflated approach to reduced basis spectral element method

Author(s): Moreno Pintore, Federico Pichi, Martin Hess, Gianluigi Rozza, Claudio Canuto
Published in: Advances in Computational Mathematics, Issue 47/1, 2021, ISSN 1019-7168
Publisher: Kluwer Academic Publishers
DOI: 10.1007/s10444-020-09827-6

A Comparison of Reduced-Order Modeling Approaches Using Artificial Neural Networks for PDEs with Bifurcating Solutions

Author(s): Martin W. Hess; Annalisa Quaini; Gianluigi Rozza
Published in: ETNA - Electronic Transactions on Numerical Analysis, Issue 56, 2022, Page(s) 52-56, ISSN 1068-9613
Publisher: Kent State University
DOI: 10.1553/etna_vol56s52

On the Application of Reduced Basis Methods to Bifurcation Problems in Incompressible Fluid Dynamics

Author(s): Giuseppe Pitton, Gianluigi Rozza
Published in: Journal of Scientific Computing, Issue 73/1, 2017, Page(s) 157-177, ISSN 0885-7474
Publisher: Kluwer Academic/Plenum Publishers
DOI: 10.1007/s10915-017-0419-6

Computational reduction strategies for the detection of steady bifurcations in incompressible fluid-dynamics: Applications to Coanda effect in cardiology

Author(s): Giuseppe Pitton, Annalisa Quaini, Gianluigi Rozza
Published in: Journal of Computational Physics, Issue 344, 2017, Page(s) 534-557, ISSN 0021-9991
Publisher: Academic Press
DOI: 10.1016/j.jcp.2017.05.010

POD-Galerkin reduced order methods for CFD using Finite Volume Discretisation: vortex shedding around a circular cylinder

Author(s): Giovanni Stabile, Saddam Hijazi, Andrea Mola, Stefano Lorenzi, Gianluigi Rozza
Published in: Communications in Applied and Industrial Mathematics, Issue 8 (1), 2017, Page(s) 210, ISSN 2038-0909
Publisher: DeGruyter
DOI: 10.1515/caim-2017-0011

A Weighted POD Method for Elliptic PDEs with Random Inputs

Author(s): Luca Venturi, Francesco Ballarin, Gianluigi Rozza
Published in: Journal of Scientific Computing, 2018, ISSN 0885-7474
Publisher: Kluwer Academic/Plenum Publishers
DOI: 10.1007/s10915-018-0830-7

Model Reduction for Parametrized Optimal Control Problems in Environmental Marine Sciences and Engineering

Author(s): Maria Strazzullo, Francesco Ballarin, Renzo Mosetti, Gianluigi Rozza
Published in: SIAM Journal on Scientific Computing, Issue 40/4, 2018, Page(s) B1055-B1079, ISSN 1064-8275
Publisher: Society for Industrial and Applied Mathematics
DOI: 10.1137/17M1150591

Finite volume POD-Galerkin stabilised reduced order methods for the parametrised incompressible Navier–Stokes equations

Author(s): Giovanni Stabile, Gianluigi Rozza
Published in: Computers & Fluids, Issue 173, 2018, Page(s) 273-284, ISSN 0045-7930
Publisher: Pergamon Press Ltd.
DOI: 10.1016/j.compfluid.2018.01.035

Stabilized Weighted Reduced Basis Methods for Parametrized Advection Dominated Problems with Random Inputs

Author(s): Davide Torlo, Francesco Ballarin, Gianluigi Rozza
Published in: SIAM/ASA Journal on Uncertainty Quantification, Issue 6/4, 2018, Page(s) 1475-1502, ISSN 2166-2525
Publisher: SIAM
DOI: 10.1137/17m1163517

A POD-selective inverse distance weighting method for fast parametrized shape morphing

Author(s): Francesco Ballarin, Alessandro D'Amario, Simona Perotto, Gianluigi Rozza
Published in: International Journal for Numerical Methods in Engineering, 2019, ISSN 0029-5981
Publisher: John Wiley & Sons Inc.
DOI: 10.1002/nme.5982

A reduced basis approach for PDEs on parametrized geometries based on the shifted boundary finite element method and application to a Stokes flow

Author(s): Efthymios N. Karatzas, Giovanni Stabile, Leo Nouveau, Guglielmo Scovazzi, Gianluigi Rozza
Published in: Computer Methods in Applied Mechanics and Engineering, Issue 347, 2019, Page(s) 568-587, ISSN 0045-7825
Publisher: Elsevier BV
DOI: 10.1016/j.cma.2018.12.040

Dimension reduction in heterogeneous parametric spaces with application to naval engineering shape design problems

Author(s): Marco Tezzele, Filippo Salmoiraghi, Andrea Mola, Gianluigi Rozza
Published in: Advanced Modeling and Simulation in Engineering Sciences, Issue 5/1, 2018, ISSN 2213-7467
Publisher: Springer
DOI: 10.1186/s40323-018-0118-3

Driving bifurcating parametrized nonlinear PDEs by optimal control strategies: application to Navier-Stokes equations with model order reduction

Author(s): Pichi, Federico; Strazzullo, Maria; Ballarin, Francesco; Rozza, Gianluigi
Published in: ESAIM: Mathematical Modelling and Numerical Analysis, Issue 10, 2022, Page(s) 1-38, ISSN 2822-7840
Publisher: EDP Sciences
DOI: 10.1051/m2an/2022044

A Finite Volume approximation of the Navier-Stokes equations with nonlinear filtering stabilization

Author(s): Michele Girfoglio, Annalisa Quaini, Gianluigi Rozza
Published in: Computers & Fluids, Issue 187, 2019, Page(s) 27-45, ISSN 0045-7930
Publisher: Pergamon Press Ltd.
DOI: 10.1016/j.compfluid.2019.05.001

An optimal control approach to determine resistance-type boundary conditions from in-vivo data for cardiovascular simulations

Author(s): Elisa Fevola; Francesco Ballarin; Francesco Ballarin; Laura Jimenez-Juan; Stephen E. Fremes; Stefano Grivet-Talocia; Gianluigi Rozza; Piero Triverio
Published in: International Journal for numerical methods in biomedical engineering, Issue Volume 37 issue 10, 2021, Page(s) 1-21, ISSN 2040-7947
Publisher: Wiley
DOI: 10.1002/cnm.3516

Parametric POD-Galerkin Model Order Reduction for Unsteady-State Heat Transfer Problems

Author(s): Sokratia Georgaka
Published in: Communications in Computational Physics, Issue 27/1, 2019, Page(s) 1-32, ISSN 1815-2406
Publisher: Global Science Press
DOI: 10.4208/cicp.oa-2018-0207

Non-intrusive reduced order modeling of poroelasticity of heterogeneous media based on a discontinuous Galerkin approximation

Author(s): Kadeethum, T.; Ballarin, F.; Bouklas, N.
Published in: GEM - International Journal on Geomathematics, Issue 12, 2021, Page(s) 12, ISSN 1869-2672
Publisher: Springer Verlag
DOI: 10.1007/s13137-021-00180-4

A Monolithic and a Partitioned, Reduced Basis Method for Fluid–Structure Interaction Problems

Author(s): Monica Nonino; Francesco Ballarin; Gianluigi Rozza
Published in: Fluids, Issue 6-6-229, 2021, ISSN 2311-5521
Publisher: MDPI
DOI: 10.3390/fluids6060229

Enriched Galerkin discretization for modeling poroelasticity and permeability alteration in heterogeneous porous media

Author(s): Teeratorn Kadeethum; Teeratorn Kadeethum; Hamidreza M. Nick; Sanghyun Lee; Francesco Ballarin
Published in: Journal of Computational Physics, Issue 427, 2021, ISSN 0021-9991
Publisher: Academic Press
DOI: 10.1016/j.jcp.2020.110030

A weighted POD-reduction approach for parametrized PDE-constrained optimal control problems with random inputs and applications to environmental sciences

Author(s): Giuseppe Carere; Maria Strazzullo; Francesco Ballarin; Francesco Ballarin; Gianluigi Rozza; Rob Stevenson
Published in: Computer and mathematics with application, Issue 102, 2021, Page(s) 261-276, ISSN 0898-1221
Publisher: Pergamon Press Ltd.
DOI: 10.1016/j.camwa.2021.10.020

Fluid-structure interaction simulations with a LES filtering approach in solids4Foam

Author(s): Michele Girfoglio; Annalisa Quaini; Gianluigi Rozza
Published in: Communications in Applied and Industrial Mathematics, Issue Volume 12 - issue 1, 2021, Page(s) 13-28, ISSN 2038-0909
Publisher: Sciendo
DOI: 10.2478/caim-2021-0002

A Reduced Order Cut Finite Element method for geometrically parameterized steady and unsteady Navier-Stokes problems

Author(s): Karatzas, Efthymios N.; Nonino, Monica; Ballarin, Francesco; Rozza, Gianluigi
Published in: Computers & Mathematics with Applications, Issue 2021, 2021, ISSN 0898-1221
Publisher: Pergamon Press Ltd.
DOI: 10.1016/j.camwa.2021.07.016

A POD‐selective inverse distance weighting method for fast parametrized shape morphing

Author(s): Francesco Ballarin, Alessandro D'Amario, Simona Perotto, Gianluigi Rozza
Published in: International Journal for Numerical Methods in Engineering, Issue vol. 117 N.8, Feb. 2019, 2018, Page(s) 860-884, ISSN 0029-5981
Publisher: John Wiley & Sons Inc.
DOI: 10.1002/(issn)1097-0207

A Novel Iterative Penalty Method to Enforce Boundary Conditions in Finite Volume POD-Galerkin Reduced Order Models for Fluid Dynamics Problems

Author(s): Star, K.; Stabile, G.; Belloni, F.; Rozza, G.; Degroote, J.
Published in: Communications in Computational Physics, Issue 30, 2020, Page(s) 34-66, ISSN 1815-2406
Publisher: Global Science Press
DOI: 10.4208/cicp.oa-2020-0059

Enhancing CFD predictions in shape design problems by model and parameter space reduction

Author(s): Marco Tezzele, Nicola Demo, Giovanni Stabile, Andrea Mola, Gianluigi Rozza
Published in: Advanced Modeling and Simulation in Engineering Sciences, Issue 7/1, 2020, ISSN 2213-7467
Publisher: Springer
DOI: 10.1186/s40323-020-00177-y

A non-intrusive data-driven ROM framework for hemodynamics problems

Author(s): Girfoglio, M.; Scandurra, L.; Ballarin, F.; Infantino, G.; Nicolò, F.; Montalto, A.; Rozza, G.; Scrofani, R.; Comisso, M.; Musumeci, F.
Published in: Acta Mechanica Sinica, Issue 37, 2021, Page(s) 1183–1191, ISSN 0567-7718
Publisher: Kexue Chubaneshe/Science Press
DOI: 10.1007/s10409-021-01090-2

A POD-Galerkin reduced order model of a turbulent convective buoyant flow of sodium over a backward-facing step

Author(s): Sabrina Star, Giovanni Stabile, Gianluigi Rozza, Joris Degroote
Published in: Applied Mathematical Modelling, Issue 89, 2021, Page(s) 486-503, ISSN 0307-904X
Publisher: Elsevier BV
DOI: 10.1016/j.apm.2020.07.029

Reduced basis methods for time-dependent problems

Author(s): Jan S. Hesthaven; Cecilia Pagliantini; Gianluigi Rozza
Published in: Acta Numerica, Issue Volume 31, 2022, Page(s) 265-345, ISSN 0962-4929
Publisher: Cambridge University Press
DOI: 10.1017/s0962492922000058

A Spectral Element Reduced Basis Method for Navier–Stokes Equations with Geometric Variations

Author(s): Martin W. Hess, Annalisa Quaini, Gianluigi Rozza
Published in: Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2018 - Selected Papers from the ICOSAHOM Conference, London, UK, July 9-13, 2018, Issue 134, 2020, Page(s) 561-571, ISBN 978-3-030-39646-6
Publisher: Springer International Publishing
DOI: 10.1007/978-3-030-39647-3_45

A Reduced Order Approach for the Embedded Shifted Boundary FEM and a Heat Exchange System on Parametrized Geometries

Author(s): Efthymios N. Karatzas, Giovanni Stabile, Nabil Atallah, Guglielmo Scovazzi, Gianluigi Rozza
Published in: IUTAM Symposium on Model Order Reduction of Coupled Systems, Stuttgart, Germany, May 22–25, 2018 - MORCOS 2018, Issue 36, 2020, Page(s) 111-125, ISBN 978-3-030-21012-0
Publisher: Springer International Publishing
DOI: 10.1007/978-3-030-21013-7_8

Reduced order methods for parametrized non-linear and time dependent optimal flow control problems, towards applications in biomedical and environmental sciences

Author(s): Strazzullo, Maria; Zainib, Zakia; Ballarin, Francesco; Rozza, Gianluigi
Published in: Numerical Mathematics and Advanced Applications ENUMATH 2019. Lecture Notes in Computational Science and Engineering, Issue 139, 2020, Page(s) 841-850, ISBN 978-3-030-55874-1
Publisher: Springer, Cham
DOI: 10.1007/978-3-030-55874-1_83

Non-intrusive Polynomial Chaos Method Applied to Full-Order and Reduced Problems in Computational Fluid Dynamics: A Comparison and Perspectives

Author(s): Saddam Hijazi, Giovanni Stabile, Andrea Mola, Gianluigi Rozza
Published in: Quantification of Uncertainty: Improving Efficiency and Technology - QUIET selected contributions, Issue 137, 2020, Page(s) 217-240, ISBN 978-3-030-48720-1
Publisher: Springer International Publishing
DOI: 10.1007/978-3-030-48721-8_10

A Spectral Element Reduced Basis Method in Parametric CFD

Author(s): Martin W. Hess, Gianluigi Rozza
Published in: Numerical Mathematics and Advanced Applications ENUMATH 2017, Issue 126, 2019, Page(s) 693-701, ISBN 978-3-319-96414-0
Publisher: Springer International Publishing
DOI: 10.1007/978-3-319-96415-7_64

Reduced Order Isogeometric Analysis Approach for PDEs in Parametrized Domains

Author(s): Fabrizio Garotta, Nicola Demo, Marco Tezzele, Massimo Carraturo, Alessandro Reali, Gianluigi Rozza
Published in: Quantification of Uncertainty: Improving Efficiency and Technology - QUIET selected contributions, Issue 137, 2020, Page(s) 153-170, ISBN 978-3-030-48720-1
Publisher: Springer International Publishing
DOI: 10.1007/978-3-030-48721-8_7

The Effort of Increasing Reynolds Number in Projection-Based Reduced Order Methods: From Laminar to Turbulent Flows

Author(s): Saddam Hijazi, Shafqat Ali, Giovanni Stabile, Francesco Ballarin, Gianluigi Rozza
Published in: Numerical Methods for Flows - FEF 2017 Selected Contributions, Issue 132, 2020, Page(s) 245-264, ISBN 978-3-030-30704-2
Publisher: Springer International Publishing
DOI: 10.1007/978-3-030-30705-9_22

Basic Ideas and Tools for Projection-Based Model Reduction of Parametric Partial Differential Equations

Author(s): Rozza, Gianluigi; Hess, Martin; Stabile, Giovanni; Tezzele, Marco; Ballarin, Francesco
Published in: Model Order Reduction, Issue Volume 2: Snapshot-Based Methods and Algorithms, 2020, Page(s) 1-47, ISBN 9783110671490
Publisher: De Gruyter
DOI: 10.1515/9783110671490-001

An integrated data-driven computational pipeline with model order reduction for industrial and applied mathematics

Author(s): Tezzele, Marco; Demo, Nicola; Mola, Andrea; Rozza, Gianluigi
Published in: Novel Mathematics Inspired by Industrial Challenges, Issue 38, 2022, Page(s) 179-200, ISBN 978-3-030-96172-5
Publisher: Springer, Cham
DOI: 10.1007/978-3-030-96173-2_7

Reduced-Order Semi-Implicit schemes for Fluid-Structure interaction problems

Author(s): Francesco Ballarin, Gianluigi Rozza, Yvon Maday
Published in: Modeling, Simulation, Applications, Issue Vol.17, 2017, Page(s) 149-167, ISBN 978-3319-58785-1
Publisher: Springer International Publishing
DOI: 10.1007/978-3-319-58786-8_10

Reduced Basis Approximation and A Posteriori Error Estimation: Applications to Elasticity Problems in Several Parametric Settings

Author(s): Dinh Bao Phuong Huynh, Federico Pichi, Gianluigi Rozza
Published in: Numerical Methods for PDEs - State of the Art Techniques, Issue 15, 2018, Page(s) 203-247, ISBN 978-3-319-94675-7
Publisher: Springer International Publishing
DOI: 10.1007/978-3-319-94676-4_8

Combined Parameter and Model Reduction of Cardiovascular Problems by Means of Active Subspaces and POD-Galerkin Methods

Author(s): Marco Tezzele, Francesco Ballarin, Gianluigi Rozza
Published in: Mathematical and Numerical Modeling of the Cardiovascular System and Applications, Issue 16, 2018, Page(s) 185-207, ISBN 978-3-319-96648-9
Publisher: Springer International Publishing
DOI: 10.1007/978-3-319-96649-6_8

Weighted Reduced Order Methods for Parametrized Partial Differential Equations with Random Inputs

Author(s): Luca Venturi, Davide Torlo, Francesco Ballarin, Gianluigi Rozza
Published in: Uncertainty Modeling for Engineering Applications, 2019, Page(s) 27-40, ISBN 978-3-030-04869-3
Publisher: Springer International Publishing
DOI: 10.1007/978-3-030-04870-9_2

Model reduction by separation of variables: A comparison between hierarchical model reduction and proper generalized decomposition

Author(s): Simona Perotto; Michele Giuliano Carlino; Francesco Ballarin
Published in: Lecture Notes in Computational Science and Engineering, Issue 134, 2018, Page(s) 61-78, ISBN 978-3-030-39646-6
Publisher: Springer
DOI: 10.1007/978-3-030-39647-3_4

Advances in reduced order methods for parametric industrial problems in computational fluid dynamics

Author(s): Rozza, G.; Malik, M. H.; Demo, N.; Tezzele, M.; Girfoglio, M.; Stabile, G.; Andrea Mola
Published in: 6th ECCOMAS European Conference on Computational Mechanics: Solids, Structures and Coupled Problems, ECCM 2018 and 7th ECCOMAS European Conference on Computational Fluid Dynamics, ECFD 2018; Scottish Events CampusGlasgow; United Kingdom; 11 June 2018 through 15 June 2018;, 2020, Page(s) 59-76, ISBN 9788494731167
Publisher: International Centre for Numerical Methods in Engineering, CIMNE
DOI: 10.48550/arxiv.1811.08319

Efficient reduction in shape parameter space dimension for ship propeller blade design

Author(s): Mola, Andrea; Tezzele, Marco; Gadalla, Mahmoud; Valdenazzi, Federica; Grassi, Davide; Padovan, Roberta; Rozza, Gianluigi
Published in: MARINE 2019: VIII International Conference on Computational Methods in Marine Engineering, 2019, Page(s) 201-212, ISBN 978-84-949194-3-5
Publisher: International Center for Numerical Methods in Engineering (CIMNE)
DOI: 10.48550/arxiv.1905.09815

Multi-fidelity data fusion for the approximation of scalar functions with low intrinsic dimensionality through active subspaces

Author(s): Francesco Romor; Marco Tezzele; Gianluigi Rozza
Published in: PAMM - Proceeding in applied mathematics and mechanics, Issue 20 -S1, 2021, Page(s) 1-12, ISSN 1617-7061
Publisher: John Wiley & Sons, Inc
DOI: 10.1002/pamm.202000349

An efficient shape parametrisation by free-form deformation enhanced by active subspace for hull hydrodynamic ship design problems in open source environment

Author(s): Demo, N.; Marco Tezzele; Mola, A.; Rozza, G.
Published in: Proceedings of the Twenty-eighth (2018) International Ocean and Polar Engineering Conference Sapporo, Japan, June 10-15, 2018, Issue 22, 2018, Page(s) 565, ISBN 978-1-880653-87-6
Publisher: International Society of Offshore and Polar Engineers (ISOPE)

Shape optimization through proper orthogonal decomposition with interpolation and dynamic mode decomposition enhanced by active subspaces

Author(s): Tezzele, Marco; Demo, Nicola; Rozza, Gianluigi
Published in: 8th International Conference on Computational Methods in Marine Engineering, MARINE 2019; Chalmers Conference CenterGothenburg; Sweden; 13 May 2019 through 15 May 2019; Code 167063, 2019, Page(s) 122-133, ISBN 9788494919435
Publisher: International Center for Numerical Methods in Engineering
DOI: 10.48550/arxiv.1905.05483

An efficient shape parametrisation by free-form deformation enhanced by active subspace for hull hydrodynamic ship design problems in open source environment

Author(s): Nicola Demo; Tezzele, M.; Mola, A.; Rozza, G.
Published in: he Twenty-eighth (2018) International Ocean and Polar Engineering Conference, Issue 28th International Ocean and Polar Engineering Conference, ISOPE 2018, 2018, Page(s) 565-572, ISBN 9781880653876
Publisher: International Society of Offshore and Polar Engineers

Shape Optimization by means of Proper Orthogonal Decomposition and Dynamic Mode Decomposition

Author(s): Demo, Nicola; Tezzele, Marco; Gustin, Gianluca; Lavini, Gianpiero; Rozza, Gianluigi
Published in: Technology and Science for the Ships of the Future: Proceedings of NAV 2018: 19th International Conference on Ship and Maritime Research, Issue 3, 2018, Page(s) 212-219, ISBN 978-1-61499-869-3
Publisher: IOS Press
DOI: 10.3233/978-1-61499-870-9-212

Model Order Reduction by means of Active Subspaces and Dynamic Mode Decomposition for Parametric Hull Shape Design Hydrodynamics

Author(s): Tezzele, Marco; Demo, Nicola; Gadalla, Mahmoud; Mola, Andrea; Rozza, Gianluigi
Published in: Technology and Science for the Ships of the Future: Proceedings of NAV 2018: 19th International Conference on Ship and Maritime Research, Issue 3, 2018, Page(s) 569-576, ISBN 978-1-61499-869-3
Publisher: IOS Press
DOI: 10.3233/978-1-61499-870-9-569

ADVANCES IN GEOMETRICAL PARAMETRIZATION AND REDUCED ORDER MODELS AND METHODS FOR COMPUTATIONAL FLUID DYNAMICS PROBLEMS IN APPLIED SCIENCES AND ENGINEERING: OVERVIEW AND PERSPECTIVES

Author(s): F. Salmoiraghi, F. Ballarin, G. Corsi, A. Mola, M. Tezzele, G. Rozza
Published in: Proceedings of the VII European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS Congress 2016), 2016, Page(s) 1013-1031, ISBN 978-618-82844-0-1
Publisher: Institute of Structural Analysis and Antiseismic Research School of Civil Engineering National Technical University of Athens (NTUA) Greece
DOI: 10.7712/100016.1867.8680

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