Journal Papers
2010
Parametric free-form shape design with PDE models and reduced basis method T. Lassila and G. Rozza Computer Methods in Applied Mechanics and Engineering, (2010). [Detailed Record] [PDF Format]
Computing upper and lower bounds for linear outputs of elasticity by the smoothed finite element method Z.C. Xuan, T. Lassila, G. Rozza and A. Quarteroni Int. J. Numer. Meth. Engng., (2010). [Detailed Record] [PDF Format]
2009
A 3D Finite element model for free-surface flows C. Leupi, E. Miglio, M. Altinakar, A. Quarteroni and M.O. Deville Computers and Fluids, (2009). [Detailed Record]
Reduced Basis Method for Parametrized Differential Algebraic Equations M. D’Elia, L. Dedé and A. Quarteroni Bol. Soc. Esp. Mat. Apl., 46 (2009) 45-73. [Detailed Record]
Finite-Element Preconditioning of GNI Spectral Methods C. Canuto, P. Gervasio and A. Quarteroni SIAM J. Sci. Comput., (2009). [Detailed Record]
NavierStokes/Darcy coupling: modeling, analysis and numerical approximation M. Discacciati and A. Quarteroni Revista Matematica Complutense, 22 (2009) 315-426. [Detailed Record]
A 3D/1D geometrical Multiscale Model of the Cerebral Vasculature T. Passerini, M.R. De Luca, L. Formaggia, A. Quarteroni and A. Veneziani Journal of Engineering Mathematics, (2009). [Detailed Record]
On a doubly nonlinear diffusion model of chemotaxis with prevention of overcrowding M. Bendahmane, R. Bürger, R. Ruiz-Baier and J.M. Urbano Mathematical Methods in the Applied Sciences, (2009). [Detailed Record] [PDF Format]
Adaptive multiresolution schemes with local time stepping for two- dimensional degenerate reaction-diffusion systems M. Bendahmane, R. Bürger, R. Ruiz-Baier and K. Schneider Applied Numerical Mathematics, 59 (2009) 1668-1692. [Detailed Record] [PDF Format]
Reduced basis method for multi-parameter dependent steady Navier-Stokes equations: applications to natural convection in a cavity S. Deparis and G. Rozza Journal of Computational Physics, 228 (2009) 4359-4378. [Detailed Record] [PDF Format]
Local discontinuous Galerkin method for diffusion equations with reduced stabilization E. Burman and B. Stamm Commun. Comput. Phys., 5 (2009) 498-514. [Detailed Record] [PDF Format]
Reduced basis methods for Stokes equations in domains with non-affine parameter dependence G. Rozza Computing and Visualization in Science, 12 (2009) 23-35. [Detailed Record]
Efficient oxygen transfer by surface aeration in shaken cylindrical containers for mammalian cell cultivation at volumetric scales up to 1,000 liters. X. Zhang, C.. Bürki, M. Stettler, D. De Sanctis, M. Perrone, M. Discacciati, N. Parolini, M. De Jesus, D.L. Hacker, A. Quarteroni and F.M. Wurm Biochemical Engineering Journal, 45 (2009) 41-47. [Detailed Record]
Reduced Basis Approximation and A Posteriori Error Estimation for the Time- Dependent Viscous Burgers Equation N.C. Nguyen, G. Rozza and A.T. Patera Calcolo, 46 (2009) 157--185. [Detailed Record] [PDF Format]
2008
Fully Adaptive Multiresolution Schemes for strongly degenerative parabolic equations in one space dimension R. Bürger, R. Ruiz-Baier, K. Schneider and M. Sepúlveda ESAIM: Mathematical Modelling and Numerical Analysis, 42 (2008) 535-563. [Detailed Record] [PDF Format]
Fully adaptive multiresolution schemes for strongly degenerate parabolic equations with discontinuous flux R. Bürger, R. Ruiz-Baier, K. Schneider and M. Sepúlveda Journal of Engineering Mathematics, 60 (2008) 365-385. [Detailed Record] [PDF Format]
A Reduced Basis Method for Evolution Schemes with Parameter-Dependent Explicit Operators B. Haasdonk, M. Ohlberger and G. Rozza ETNA, Electronic Transactions on Numerical Analysis, 32 (2008) 145-168. [Detailed Record] [PDF Format]
Reduced basis approximation and a posteriori error estimation for affinely parametrized elliptic coercive partial differential equations: Application to transport and continuum mechanics G. Rozza, D.B.P. Huynh and A.T. Patera Archives of Computational Methods in Engineering, 15 (2008) 229-275. [Detailed Record] [PDF Format]
Reduced basis error bound computation of parameter-dependent Navier-- Stokes equations by the natural norm approach S. Deparis SIAM Journal on Numerical Analysis, 46 (2008) 2039-2067. [Detailed Record]
Stabilization strategies for high order methods for transport dominated problems E. Burman, A. Quarteroni and B. Stamm Bollettino U.M.I., Series IX, 1 (2008) 57-77. [Detailed Record] [PDF Format]
Low order discontinuous Galerkin methods for second order elliptic problems E. Burman and B. Stamm SIAM Journal on Numerical Analysis, 47 (2008) 508-533. [Detailed Record] [PDF Format]
Interior penalty continuous and discontinuous finite element approximations of hyperbolic equations E. Burman, A. Quarteroni and B. Stamm Journal of Scientific Computing, (2008). [Detailed Record] [PDF Format]
On the coupling of 1D and 3D Diffusion-Reaction Equations: Application to Tissue Pefusion Problems C. D'Angelo and A. Quarteroni Mathematical Models and Methods in Applied Sciences, 18 (2008) 1481 - 1504. [Detailed Record]
Reduced basis method for linear elasticity problems with many parameters R. Milani, A. Quarteroni and G. Rozza Computational Methods in Applied Mechanics and Engineering, 197 (2008) 4812-4829. [Detailed Record] [PDF Format]
Modular vs. non-modular preconditioners for fluid-structure systems with large added-mass effect S. Badia, A. Quaini and A. Quarteroni Computer Methods in Applied Mechanics and Engineering, 197 (2008) 4216-4232. [Detailed Record] [PDF Format]
Symmetric and non-symmetric discontinuous Galerkin methods stabilized using bubble enrichment E. Burman and B. Stamm C. R. Math. Acad. Sci. Paris, 346 (2008) 103-106. [Detailed Record] [PDF Format]
Splitting methods based on algebraic factorization for fluid-structure interaction S. Badia, A. Quaini and A. Quarteroni SIAM Journal on Scientific Computing, 30 (2008) 1778-1805. [Detailed Record] [PDF Format]
2007
A successive constraint linear optimization method for lower bounds of parametric coercivity and inf-sup stability constants D.B.P. Huynh, G. Rozza, S. Sen and A.T. Patera C. R. Math. Acad. Sci. Paris, 345 (2007) 473-478. [Detailed Record]
The symmetric discontinuous Galerkin method does not need stabilization in 1D for polynomial orders p ≥ 2 E. Burman, A. Ern, I. Mozolevski and B. Stamm C. R. Math. Acad. Sci. Paris, 345 (2007) 599-602. [Detailed Record] [PDF Format]
Robin-Robin Domain Decomposition Methods for the Stokes-Darcy Coupling M. Discacciati, A. Quarteroni and A. Valli SIAM Journal on Numerical Analysis, 45 (2007) 1246-1268. [Detailed Record] [PDF Format]
Modeling Of Salt Tectonics P. Massimi, A. Quarteroni, F. Saleri and G. Scrofani Computer Methods in Applied Mechanics and Engineering, 197 (2007) 281-293. [Detailed Record] [PDF Format]
Minimal stabilization of discontinuous Galerkin finite element methods for hyperbolic problems E. Burman and B. Stamm Journal of Scientific Computing, 33 (2007) 183-208. [Detailed Record] [PDF Format]
A semi-implicit approach for fluid-structure interaction based on an algebraic fractional step method A. Quaini and A. Quarteroni Mathematical Models and Methods in Applied Sciences, 17 (2007) 957-983. [Detailed Record] [PDF Format]
On the stability of Reduced Basis methods for Stokes Equations in parametrized domains G. Rozza and K. Veroy Computer Methods in Applied Mechanics and Engineering, 196 (2007) 1244-1260. [Detailed Record]
A unified stabilized method for Stokes' and Darcy's equations E. Burman and P. Hansbo Journal of Computational and Applied Mathematics, 198 (2007) 35-51. [Detailed Record]
Numerical solution of parametrized Navier-Stokes equations by reduced basis methods A. Quarteroni and G. Rozza Numerical Methods for Partial Differential Equations, 23 (2007) 923-948. [Detailed Record]
Continuous interior penalty hp-finite element methods for advection and advection-diffusion equations E. Burman and A. Ern Math. Comp, 76 (2007) 119-1140. [Detailed Record]
2006
An Efficient Discretization of the Navier-Stokes Equations in an Axisymmetric Domain. Part 1: The Discrete Problem and its Numerical Analysis Z. Belhachmi, C. Bernardi, S. Deparis and F. Hecht Mathematical Models and Methods in Applied Sciences (M3AS) , 16 (2006) 233-263. [Detailed Record]
Uncertainty Quantification for Reduced Basis Approximations: "Natural Norm" A Posteriori Error Estimators S. Sen, K. Veroy, D.B.P. Huynh, S. Deparis, N.C. Nguyen and A.T. Patera Journal of Computational Physics, 217 (2006) 37-62. [Detailed Record]
Weighted Clément operator and application to the finite element discretization of the axisymmetric Stokes problem Z. Belhachmi, C. Bernardi and D. Deparis Numerische Mathematik, 105 (2006) 217-247. [Detailed Record]
The non-circular shape of FloWatch®-PAB prevents the need for pulmonary artery reconstruction after banding A.F. Corno, M. Prosi, P. Fridez, P. Zunino, A. Quarteroni and L.K. von Segesser European Journal of Cardio-Thoracic Surgery, 29 (2006) 93-99. [Detailed Record]
A 3D Shape Optimization Problem in Heat Transfer: Analysis and Approximation via BEM A. Abbà, C. D'Angelo and F. Saleri Mathematical Models and Methods in Applied Sciences, 16 (2006) 1243-1270. [Detailed Record]
A stabilized non-conforming finite element method for incompressible flow P. Hansbo and E. Burman Computer Methods in Applied Mechanics and Engineering, 195 (2006) 2881-99. [Detailed Record]
Mass preserving finite element implementations of the level set method D.A. Di Pietro, S. Lo Forte and N. Parolini Applied Numerical Mathematics, 56 (2006) 1179-95. [Detailed Record]
Fluid-structure algorithms based on Steklov-Poincaré operators S. Deparis, M. Discacciati, G. Fourestey and A. Quarteroni Computer Methods in Applied Mechanics and Engineering, 195 (2006) 5797-812. [Detailed Record]
Edge stabilization for the generalized Stokes problem: A continuous interior penalty method E. Burman and P. Hansbo Computer Methods in Applied Mechanics and Engineering, 195 (2006) 2393-410. [Detailed Record] [PDF Format]
Local projection stabilization for the Oseen problem and its interpretation as a variational multiscale method M. Braack and E. Burman SIAM Journal on Numerical Analysis, 43 (2006) 2544-2566. [Detailed Record] [PDF Format]
Shape design in aorto-coronaric bypass anastomoses using perturbation theory V. Agoshkov, A. Quarteroni and G. Rozza SIAM Journal on Numerical Analysis, 44 (2006) 367-384. [Detailed Record] [PDF Format]
A mathematical approach in the design of arterial bypass using unsteady Stokes equations V. Agoshkov, A. Quarteroni and G. Rozza Journal of Scientific Computing, 28 (2006) 139-165. [Detailed Record]
A Domain Decomposition Method Based on Weighted Interior Penalties for Advection-Diffusion-Reaction Problems E. Burman and P. Zunino Siam Journal on Numerical Analysis, 44 (2006) 1612-1638. [Detailed Record]
2005
A level set finite element method for viscous free surface flow E. Burman Oberwolfach Reports, 2 (2005) 465-502. [Detailed Record]
Reduced-basis methods for elliptic equations in sub-domains with a posteriori error bounds and adaptivity G. Rozza Applied Numerical Mathematics, 55 (2005) 403-24. [Detailed Record] [PDF Format]
On optimization, control and shape design of an arterial bypass G. Rozza International Journal for Numerical Methods in Fluids, 47 (2005) 1411-19. [Detailed Record] [PDF Format]
Mathematical and numerical models for transfer of low-density lipoproteins through the arterial walls: A new methodology for the model set up with applications to the study of disturbed lumenal flow M. Prosi, P. Zunino, K. Perktold and A. Quarteroni Journal of Biomechanics, 38 (2005) 903-917. [Detailed Record]
Mathematical models and numerical simulations for the America's Cup N. Parolini and A. Quarteroni Computer Methods in Applied Mechanics and Engineering, 194 (2005) 1001-26. [Detailed Record]
A finite element level set method for viscous free-surface flows N. Parolini and E. Burman Applied and industrial mathematics in Italy, 69 (2005) 416-427. [Detailed Record]
Analysis of a geometrical multiscale blood flow model based on the coupling of ODEs and hyperbolic PDEs M.A. Fernández, V. Milisic and A. Quarteroni Multiscale Modeling and Simulation, 4 (2005) 215-236. [Detailed Record] [PDF Format]
Stabilized Crouzeix-Raviart element for the Darcy-Stokes problem E. Burman and P. Hansbo Numerical Methods for Partial Differential Equations, 21 (2005) 986-97. [Detailed Record] [PDF Format]
Stabilized Galerkin approximation of convection-diffusion-reaction equations: discrete maximum principle and convergence E. Burman and A. Ern Mathematics of Computation, 74 (2005) 1637-52. [Detailed Record]
A unified analysis for conforming and nonconforming stabilized finite element methods using interior penalty E. Burman SIAM Journal on Numerical Analysis, 43 (2005) 2012-2033. [Detailed Record] [PDF Format]
Optimal control in heterogeneous domain decomposition methods V. Agoshkov, P. Gervasio and A. Quarteroni Russian Journal of Numerical Analysis and Mathematical Modelling, 20 (2005) 229-246. [Detailed Record]
Conference Papers
Pending
Reduced basis approximation for shape optimization in thermal flows with a parametrized polynomial geometric map G. Rozza, T. Lassila and A. Manzoni Lecture Notes in Computational Science and Engineering, (2010). [Detailed Record] [PDF Format]
2009
An introduction to reduced basis method for parametrized PDEs G. Rozza Applied and Industrial Mathematics in Italy, III (2009) 508-519. [Detailed Record] [PDF Format]
Reduced Basis Methods and A Posteriori Error Estimators for Heat Transfer Problems G. Rozza, N.C. Nguyen, A.T. Patera and S. Deparis Proceedings of the ASME HT 2009 summer conference, (2009). [Detailed Record] [PDF Format]
Real-Time Reliable Simulation of Heat Transfer Phenomena G. Rozza, D.B.P. Huynh, N.C. Nguyen and A.T. Patera Proceedings of the ASME HT 2009 summer conference, (2009). [Detailed Record] [PDF Format]
2007
Tecniche a Basi Ridotte per l'Ottimizzazione di Configurazioni di Innesto per Bypass Coronarici A. Quarteroni and G. Rozza Un grande matematico dell'800: omaggio a Eugenio Beltrami, (2007) 225-238. [Detailed Record]
Modelling and numerical simulation for yacht design N. Parolini and A. Quarteroni Proceedings of the 26th Symposium on Naval Hydrodynamics, (2007). [Detailed Record]
Reduced basis methods for optimal control of advection-diffusion problems A. Quarteroni, G. Rozza and A. Quaini Advances in Numerical Mathematics, (2007) 193-216. [Detailed Record]
2006
Matematica in volo con Solar Impulse G. Fourestey, N. Parolini, C. Prud'homme, A. Quarteroni and G. Rozza Matematica e Cultura 2006, (2006) 35-48. [Detailed Record]
Real-time reduced basis solutions for Navier-Stokes equations: optimization of parametrized bypass configurations G. Rozza ECCOMAS CFD 2006 Proceedings on CD, (2006). [Detailed Record]
Cardiovascular mathematics A. Quarteroni Proceedings of the International Conference of Mathematicians, I (2006) 479-512. [Detailed Record]
A domain decomposition framework for fluid-structure interaction problems S. Deparis, M. Discacciati and A. Quarteroni Proceedings of the Third International Conference on Computational Fluid Dynamics (ICCFD3), (2006) 41-58. [Detailed Record]
2005
Optimal control of peritoneal dialysis P. Zunino and D. Mastalli Proceeding of the conference "Control Systems: Theory, Numerics and Application", (2005). [Detailed Record]
Real time reduced basis techniques for arterial bypass geometries G. Rozza Computational Fluid and Solid Mechanics - Third M.I.T. Conference on Computational Fluid and Solid Mechanics, (2005) 1283-1287. [Detailed Record]
Iterative methods for Stokes/Darcy coupling M. Discacciati Domain decomposition methods in science and engineering, 40 (2005) 563-570. [Detailed Record]
Reviews
2009
Mathematics in the Wind D. Detomi, N. Parolini and A. Quarteroni Monografias de La Real Academia de Ciencias de Zaragoza, (31), 35-56 (2009). [Detailed Record]
Mathematicals Models in Science and Engineering A. Quarteroni ASM Notices, 56(1), 10-19 (2009). [Detailed Record] [PDF Format]
2008
Modelli Matematici, Calcolo Scientifico e Applicazioni A. Quarteroni Rendiconti del Seminario Matematico dell’Università e del Politecnico di Torino, 66(3), 173-183 (2008). [Detailed Record]
Ph.D. Theses
2009
Spectral element approximation of the incompressible Navier-Stokes equations in a moving domain and applications G. Pena Ph.D. Thesis, 2009. [Detailed Record]
Algorithms for fluid-structure interaction problems arising in hemodynamics A. Quaini Ph.D. Thesis, 2009. [Detailed Record] [PDF Format]
2008
Stabilization strategies for discontinuous Galerkin methods B. Stamm Ph.D. Thesis, 2008. [Detailed Record] [PDF Format]
2007
Interior penalty finite element approximation of Navier-Stokes equations and application to free surface flows C. Winkelmann Ph.D. Thesis, 2007. [Detailed Record] [PDF Format]
Multilevel preconditioners for elliptic problems with multiple scales K. Sapelza Ph.D. Thesis, 2007. [Detailed Record] [PDF Format]
Multiscale modelling of metabolism and transport phenomena in living tissues C. D'Angelo Ph.D. Thesis, 2007. [Detailed Record] [PDF Format]
2006
Optimal control of mass transfer in peritoneal dialysis D. Mastalli Ph.D. Thesis, 2006. [Detailed Record] [PDF Format]
2005
Shape design by optimal flow control and reduced basis techniques G. Rozza Ph.D. Thesis, 2005. [Detailed Record] [PDF Format]
Books
2009
MATHKNOW M. Emmer and A. Quarteroni Heidelberg, DE : Springer, 2009. [Detailed Record]
Numerical Models for Differential Problems A. Quarteroni Heidelberg, DE : Springer, 2009. [Detailed Record]
Cardiovascular Mathematics L. Formaggia, A. Quarteroni and A. Veneziani Heidelberg, DE : Springer, 2009. [Detailed Record]
2008
Modellistica Numerica per Problemi Differenziali A. Quarteroni Milan, IT : Springer-Italia, 2008. [Detailed Record]
Matematica numerica A.M. Quarteroni, R. Sacco and F. Saleri Milan, IT : Springer-Italia, 2008. [Detailed Record]
Calcolo scientifico A. Quarteroni and F. Saleri Milan, IT : Springer-Italia, 2008. [Detailed Record]
2007
Matematica: si parte! Y. Biollay, A. Chaabouni and J. Stubbe Milan, IT : Springer, 2007. [Detailed Record]
Spectral Methods C.G. Canuto, M.Y. Hussaini, A. Quarteroni and T.A. Zang Heidelberg, DE : Springer, 2007. [Detailed Record]
Méthodes Numériques A. Quarteroni, R. Sacco and F. Saleri Paris, FR : Springer, 2007. [Detailed Record]
Numerical Mathematics A. Quarteroni, R. Sacco and F. Saleri Paris, FR : Springer, 2007. [Detailed Record]
CÁLCULO CIENTÍFICO com MATLAB e Octave A. Quarteroni and F. Saleri Madrid, ES : Springer, 2007. [Detailed Record]
Reduced Basis Approximation and A Posteriori Error Estimation for Parametrized Partial Differential Equations A.T. Patera and G. Rozza Cambridge, MA, US : (C) MIT, Massachusetts Institute of Technology, 2007. [Detailed Record]
2006
Proofs from THE BOOK M. Aigner and G. Ziegler Milan, IT : Springer-Italia, 2006. [Detailed Record]
Modellistica Numerica per Problemi Differenziali (Third. Ed.) A. Quarteroni Milan, IT : Springer-Italia, 2006. [Detailed Record]
Introduzione al Calcolo Scientifico A. Quarteroni and F. Saleri Milan, IT : Springer-Italia, 2006. [Detailed Record]
Scientific Computing with MATLAB and Octave A. Quarteroni and F. Saleri Heidelberg, DE : Springer, 2006. [Detailed Record]
Wissenschaftliches Rechnen mit MATLAB A. Quarteroni and F. Saleri Heidelberg, DE : Springer, 2006. [Detailed Record]
Spectral Methods C. Canuto, M.Y. Hussaini, A. Quarteroni and T.A. Zang Heidelberg, DE : Springer, 2006. [Detailed Record]
Complex Systems in Biomedicine A. Quarteroni, L. Formaggia and A. Veneziani Heidelberg, DE : Springer, 2006. [Detailed Record]
Calcul Scientifique A. Quarteroni and F. Saleri Paris, FR : Springer, 2006. [Detailed Record]
Cálculo Científico con MATLAB y Octave A. Quarteroni and F. Saleri Madrid, ES : Springer, 2006. [Detailed Record]
2005
Matematica Numerica (Second Ed.) A. Quarteroni, R. Sacco and F. Saleri Milan, IT : Springer, 2005. [Detailed Record]
Book Chapters
2010
Reduced basis approximation and a posteriori error estimation for parametrized parabolic PDEs; Application to real-time Bayesian parameter estimation C. Nguyen, G. Rozza, D.B.P. Huynh and A.T. Patera in Computational Methods for Large Scale Inverse Problems and Uncertainty Quantification, UK : John Wiley & Sons, 2010. [Detailed Record] [PDF Format]
2009
Reduced basis approximation for parametrized partial differential equations G. Rozza and A. Quarteroni in Numerical Models for Differential Equations, Heildelberg : Springer, 2009. [Detailed Record]
2007
Heterogeneous domain decomposition methods for fluid-structure interaction problems S. Deparis, M. Discacciati, G. Fourestey and A. Quarteroni in Domain Decomposition Methods in Science and Engineering XVI, Berlin : Springer, 2007. [Detailed Record] [PDF Format]
Modellistica Matematica e Calcolo Scientifico A. Quarteroni in Enciclopedia della Scienza e della Tecnica (Treccani), Rome : Istituto dell’Enciclopedia Italiana, 2007. [Detailed Record]
2006
Numerical approximation of a control problem for advection-diffusion processes A. Quarteroni, G. Rozza, L. Dedè and A. Quaini in System modeling and optimization, Boston : Springer, 2006. [Detailed Record]
The circulatory system: from case studies to mathematical modeling L. Formaggia, A. Quarteroni and A. Veneziani in Complex systems in biomedecine, Springer, 2006. [Detailed Record]
Technical Reports
2009
Finite-element preconditioning of G-NI spectral methods C. Canuto, P. Gervasio and A. Quarteroni Technical Report, 2009. [Detailed Record]
2008
Construction of a High Order Fluid-Structure Interaction Solver G. Pena and C. Prud'homme Technical Report, 2008. [Detailed Record] [PDF Format]
Bubble stabilized discontinuous Galerkin method for parabolic and elliptic problems E. Burman and B. Stamm Technical Report, 2008. [Detailed Record] [PDF Format]
2007
hp-Optimal discontinuous Galerkin methods for linear elliptic problems B. Stamm and T.P. Wihler Technical Report, 2007. [Detailed Record] [PDF Format]
2005
A new reinitialization procedure for the finite element approximation of the level set equation E. Burman and N. Parolini Technical Report, 2005. [Detailed Record]
Subgrid edge stabilization for transport equations N. Parolini and E. Burman Technical Report, 2005. [Detailed Record]
Mathematical modelling of the cardiovascular system and skeletal muscle interaction during exercise C. D'Angelo Technical Report, 2005. [Detailed Record]
Presentations
2009
Mathematics in the wind A. Quarteroni 2009. [Detailed Record]
|