Publications @ CSQI

2019

D. Pradovera : MATHICSE Technical Report: Interpolatory rational model order reduction of parametric problems lacking uniform inf-sup stability. 2019-05-30.
F. Nobile; E. Vidlicková : MATHICSE Technical Report : A posteriori error estimation for the stochastic collocation finite element approximation of the heat equation with random coefficients. 2019-04-30.
P. Tsilifis; X. Huan; C. Safta; K. Sargsyan; G. Lacaze et al. : Compressive sensing adaptation for polynomial chaos expansions; Journal Of Computational Physics. 2019-03-01. Vol. 380, p. 29-47. DOI : 10.1016/j.jcp.2018.12.010.
M. C. Martin : Stochastic approximation methods for PDE constrained optimal control problems with uncertain parameters. Lausanne, EPFL, 2019. DOI : 10.5075/epfl-thesis-7233.
M. Pisaroni; F. Nobile; P. Leyland : Continuation Multilevel Monte Carlo Evolutionary Algorithm for Robust Aerodynamic Shape Design; Journal of Aircraft. 2019. Vol. 56, num. 2, p. 771-786. DOI : 10.2514/1.C035054.
V. Rey; S. Krumscheid; F. Nobile : Quantifying uncertainties in contact mechanics of rough surfaces using the multilevel Monte Carlo method; International Journal of Engineering Science. 2019. Vol. 138, p. 50-64. DOI : 10.1016/j.ijengsci.2019.02.003.
E. Arnone; L. Azzimonti; F. Nobile; L. M. Sangalli : Modeling spatially dependent functional data via regression with differential regularization; Journal of Multivariate Analysis. 2019. Vol. 170, p. 175-295. DOI : 10.1016/j.jmva.2018.09.006.

2018

M. Martin; S. Krumscheid; F. Nobile : MATHICSE Technical Report : Analysis of stochastic gradient methods for PDE-constrained optimal control problems with uncertain parameters. 2018-03-09.
S. Brugiapaglia; S. Micheletti; F. Nobile; S. Perotto : Wavelet-Fourier CORSING techniques for multi-dimensional advection-diffusion-reaction equations. 2018.
G. Migliorati; F. Nobile : Stable high-order randomized cubature formulae in arbitrary dimension; .... 2018.
H. Hoel; K. Karlsen; N. Risebro; E. Storrosten : Path-dependent convex conservation laws; JOURNAL OF DIFFERENTIAL EQUATIONS. 2018. Vol. 265, num. 6, p. 2708-2744. DOI : 10.1016/j.jde.2018.04.045.
M. C. Martin; F. Nobile : PDE-constrained optimal control problems with uncertain parameters using SAGA; .... 2018.
F. Bonizzoni; F. Nobile; I. Perugia; D. Pradovera : Fast Least-Squares Padé approximation of problems with normal operators and meromorphic structure; .... 2018.
F. Bonizzoni; F. Nobile; I. Perugia; D. Pradovera : Least-Squares Padé approximation of parametric and stochastic Helmholtz maps. 2018.
S. Krumscheid : Perturbation-based inference for diffusion processes: Obtaining effective models from multiscale data; Mathematical Models and Methods in Applied Sciences. 2018. Vol. 28, num. 08, p. 1565-1597. DOI : 10.1142/S0218202518500434.
H. A. Hoel; S. Krumscheid : Central limit theorems for multilevel Monte Carlo methods. 2018.
F. Nobile; R. Tempone; S. Wolfers : Sparse approximation of multilinear problems with applications to kernel-based methods in UQ; Numerische Mathematik. 2018. Vol. 139, num. 1, p. 247-280. DOI : 10.1007/s00211-017-0932-4.
D. S. Guignard; F. Nobile : A Posteriori Error Estimation for the Stochastic Collocation Finite Element Method; SIAM Journal on Numerical Analysis. 2018. Vol. 56, num. 5, p. 3121-3143. DOI : 10.1137/17M1155454.
I. Colombo; F. Nobile; G. Porta; A. Scotti; L. Tamellini : Uncertainty Quantification of geochemical and mechanical compaction in layered sedimentary basins; Computer Methods in Applied Mechanics and Engineering. 2018. Vol. 328, p. 122-146. DOI : 10.1016/j.cma.2017.08.049.
S. Krumscheid; F. Nobile : Multilevel Monte Carlo Approximation of Functions; SIAM/ASA Journal on Uncertainty Quantification. 2018. Vol. 6, num. 3, p. 1256-1293. DOI : 10.1137/17M1135566.
E. Musharbash; F. Nobile : Dual Dynamically Orthogonal approximation of incompressible Navier Stokes equations with random boundary conditions; Journal of Computational Physics. 2018. Vol. 354, p. 135-162. DOI : 10.1016/j.jcp.2017.09.061.
S. Brugiapaglia; F. Nobile; S. Micheletti; S. Perotto : A theoretical study of COmpRessed SolvING for advection-diffusion-reaction problems; Mathematics of Computation. 2018. Vol. 87, p. 1-38. DOI : 10.1090/mcom/3209.

2017

A. Chernov; H. A. Hoel; K. J. Law; F. Nobile; R. Tempone : MATHICSE Technical Report : Multilevel ensemble Kalman filtering for spatio-temporal processes. 2017-10-20.
A. L. Haji Ali; F. Nobile; R. Tempone; S. Wolfers : MATHICSE Technical Report : Multilevel weighted least squares polynomial approximation. 2017-09-11.
E. Musharbash; F. Nobile : MATHICSE Technical Report : Symplectic dynamical low rank approximation of wave equations with random parameters. 2017-08-29.
M. Pisaroni; S. Krumscheid; F. Nobile : MATHICSE Technical Report : Quantifying uncertain system outputs via the multilevel Monte Carlo method – Part I: Central moment estimation. 2017-06-11.
M. Pisaroni; F. Nobile; P. Leyland : MATHICSE Technical Report : Continuation Multi-Level Monte-Carlo method for Uncertainty Quantification in Turbulent Compressible Aerodynamics Problems modeled by RANS. 2017-05-11.
M. Pisaroni : Multi Level Monte Carlo Methods for Uncertainty Quantification and Robust Design Optimization in Aerodynamics. Lausanne, EPFL, 2017. DOI : 10.5075/epfl-thesis-8082.
N. Linde; D. Ginsbourger; J. Irving; F. Nobile; A. Doucet : On uncertainty quantification in hydrogeology and hydrogeophysics; Advances in Water Resources. 2017. Vol. 110, p. 166-181. DOI : 10.1016/j.advwatres.2017.10.014.
T. Hermann; S. Lohle; S. Fasoulas; P. Leyland; L. Marraffa et al. : Influence of Ablation on Vacuum-Ultraviolet Radiation in a Plasma Wind Tunnel Flow; Journal Of Thermophysics And Heat Transfer. 2017. Vol. 31, num. 3, p. 575-585. DOI : 10.2514/1.T4936.
E. Musharbash : Dynamical Low Rank approximation of PDEs with random parameters. Lausanne, EPFL, 2017. DOI : 10.5075/epfl-thesis-7813.
M. Pisaroni; F. Nobile; P. Leyland : A Multilevel Monte Carlo Evolutionary Algorithm for Robust Aerodynamic Shape Design. 2017. 18th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference, Denver, Colorado, USA, 5-9 June 2017. DOI : 10.2514/6.2017-3329.
M. Pisaroni; F. Nobile; P. Leyland : A Continuation Multi Level Monte Carlo (C-MLMC) method for uncertainty quantification in compressible inviscid aerodynamics; Computer Methods in Applied Mechanics and Engineering. 2017. Vol. 326, p. 20-50. DOI : 10.1016/j.cma.2017.07.030.
F. Bonizzoni; F. Nobile; I. Perugia; F. Bonizzoni; F. Nobile : Convergence analysis of Padé approximations for Helmholtz frequency response problems; ESAIM: Mathematical Modelling and Numerical Analysis. 2017. Vol. 52, num. 4, p. 1261-1284. DOI : 10.1051/m2an/2017050.
D. S. Guignard; F. Nobile; M. Picasso : A posteriori error estimation for the steady Navier-Stokes equations in random domains; Computer Methods in Applied Mechanics and Engineering. 2017. Vol. 313, p. 483-511. DOI : 10.1016/j.cma.2016.10.008.
A. Cohen; G. Migliorati; F. Nobile : Discrete least-squares approximations over optimized downward closed polynomial spaces in arbitrary dimension; Constructive Approximation. 2017. Vol. 45, num. 3, p. 497-519. DOI : 10.1007/s00365-017-9364-8.

2016

V. Rey; J.-F. Molinari; G. Anciaux; F. Nobile; S. Krumscheid : Efficient approximation of the contact area between rough surfaces ; Engineering Mechanics Institute International Conference, Metz, France, October 25-27, 2016.
D. S. Guignard : A posteriori error estimation for partial differential equations with random input data. Lausanne, EPFL, 2016. DOI : 10.5075/epfl-thesis-7260.
M. Pisaroni; P. Leyland; F. Nobile : A Multi Level Monte Carlo Algorithm for the Treatment of Geometrical and Operational Uncertainties in Internal and External Aerodynamics. 2016. AIAA Aviation - 46th AIAA Fluid Dynamics Conference, Washington, D.C, 13-17 June 2016. p. 4398. DOI : 10.2514/6.2016-4398.
A. Chernov; A. Debussche; F. Nobile : Numerical methods for random and stochastic partial differential equations; Stochastics and Partial Differential Equations Analysis and Computations. 2016. Vol. 4, num. 1, p. 1-2. DOI : 10.1007/s40072-016-0073-2.
F. Nobile; L. Tamellini; F. Tesei; R. Tempone : An Adaptive Sparse Grid Algorithm for Elliptic PDEs with Lognormal Diffusion Coefficient; Sparse Grids and Applications - Stuttgart 2014; Berlin: Springer, 2016. p. 191-220.
F. Tesei : Numerical Approximation of Flows in Random Porous Media. Lausanne, EPFL, 2016. DOI : 10.5075/epfl-thesis-6860.
A.-L. Haji-Ali; F. Nobile; L. Tamellini; R. Tempone : Multi-index stochastic collocation convergence rates for random PDEs with parametric regularity; Foundations of Computational Mathematics. 2016. Vol. 16, num. 6, p. 1555-1605. DOI : 10.1007/s10208-016-9327-7.
A.-L. Haji-Ali; F. Nobile; L. Tamellini; R. Tempone : Multi-index Stochastic Collocation for random PDEs; Computer Methods in Applied Mechanics and Engineering. 2016. Vol. 306, p. 95-122. DOI : 10.1016/j.cma.2016.03.029.
D. S. Guignard; F. Nobile; M. Picasso : A posteriori error estimations for elliptic partial differential equations with small uncertainties; Numerical Methods for Partial Differential Equations. 2016. Vol. 32, num. 1, p. 175-212. DOI : 10.1002/num.21991.
F. Bonizzoni; F. Nobile; D. Kressner : Tensor train approximation of moment equations for elliptic equations with lognormal coefficient; Computer Methods in Applied Mechanics and Engineering. 2016. Vol. 308, p. 349-376. DOI : 10.1016/j.cma.2016.05.026.
J. E. Castrillón-Candás; F. Nobile; R. Tempone : Analytic regularity and collocation approximation for elliptic PDEs with Random domain deformations; Computers and Mathematics with Applications. 2016. Vol. 71, num. 6, p. 1173-1197. DOI : 10.1016/j.camwa.2016.01.005.
A.-L. Haji-Ali; F. Nobile; R. Tempone : Multi-index Monte Carlo: when sparsity meets sampling; Numerische Mathematik. 2016. Vol. 132, num. 4, p. 767-806. DOI : 10.1007/s00211-015-0734-5.
A.-L. Haji-Ali; F. Nobile; E. von Schwerin; R. Tempone : Optimization of mesh hierarchies in multilevel Monte Carlo samplers; Stochastic Partial Differential Equations: Analysis and Computations. 2016. Vol. 4, num. 1, p. 76-112. DOI : 10.1007/s40072-015-0049-7.
F. Nobile; L. Tamellini; R. Tempone : Convergence of quasi-optimal sparse-grid approximation of Hilbert-space-valued functions: application to random elliptic PDEs; Numerische Mathematik. 2016. Vol. 134, num. 2, p. 343-388. DOI : 10.1007/s00211-015-0773-y.

2015

M. Motamed; F. Nobile; R. Tempone : Analysis and Computation of Hyperbolic PDEs with Random Data; Encyclopedia of Applied and Computational Mathematics. 2015. p. 51-58. DOI : 10.1007/978-3-540-70529-1_527.
S. Krumscheid; M. Pradas; G. A. Pavliotis; S. Kalliadasis : Data-driven coarse graining in action: Modeling and prediction of complex systems; Physical Review E. 2015. Vol. 92, num. 4, p. 042139. DOI : 10.1103/PhysRevE.92.042139.
A. Abdulle; S. Deparis; D. Kressner; F. Nobile; M. Picasso : Numerical Mathematics and Advanced Applications - ENUMATH 2013. 2015.
A. Chernov; F. Nobile : Numerical Methods For Uncertainty Quantification; International Journal For Uncertainty Quantification. 2015. Vol. 5, num. 3, p. VII-VIII. DOI : 10.1615/Int.J.UncertaintyQuantification.2015014190.
E. Musharbash; F. Nobile; T. Zhou : Error Analysis of the Dynamically Orthogonal Approximation of Time Dependent Random PDEs; Siam Journal on Scientific Computing. 2015. Vol. 37, num. 2, p. A776-A810. DOI : 10.1137/140967787.
G. Migliorati; F. Nobile; R. Tempone : Convergence estimates in probability and in expectation for discrete least squares with noisy evaluations at random points; Journal of Multivariate Analysis. 2015. Vol. 142, p. 167-182. DOI : 10.1016/j.jmva.2015.08.009.
G. Migliorati; F. Nobile : Analysis of discrete least squares on multivariate polynomial spaces with evaluations at low-discrepancy point sets; Journal of Complexity. 2015. Vol. 31, num. 4, p. 517-542. DOI : 10.1016/j.jco.2015.02.001.
S. Palamara; C. Vergara; E. Faggiano; F. Nobile : An effective algorithm for the generation of patient-specific Purkinje networks in computational electrocardiology; Journal Of Computational Physics. 2015. Vol. 283, p. 495-517. DOI : 10.1016/j.jcp.2014.11.043.
F. Tesei; F. Nobile : A Multi Level Monte Carlo Method with Control Variate for elliptic PDEs with log-normal coefficients; Stochastic Partial Differential Equations: Analysis and Computations. 2015. Vol. 3, num. 3, p. 398-444. DOI : 10.1007/s40072-015-0055-9.
G. Migliorati : Adaptive polynomial approximation by means of random discrete least squares. 2015. ENUMATH 2013, Lausanne, August 26-30, 2013. p. 547-554. DOI : 10.1007/978-3-319-10705-9_54.
G. Migliorati : Multivariate Markov-type and Nikolskii-type inequalities for polynomials associated with downward closed multi-index sets; Journal of Approximation Theory. 2015. Vol. 189, p. 137-159. DOI : 10.1016/j.jat.2014.10.010.
F. Nobile; L. Tamellini; R. Tempone : Comparison of Clenshaw-Curtis and Leja Quasi-Optimal Sparse Grids for the Approximation of Random PDEs. 2015. International Conference on Spectral and High-Order Methods 2014 (ICOSAHOM'14), Salt Lake City, June 23-27, 2014. p. 475-482. DOI : 10.1007/978-3-319-19800-2_44.
N. Collier; A.-L. Haji-Ali; F. Nobile; E. von Schwerin; R. Tempone : A continuation multilevel Monte Carlo algorithm; BIT Numerical Mathematics. 2015. Vol. 55, num. 2, p. 399-432. DOI : 10.1007/s10543-014-0511-3.
D. Kressner; R. Kumar; F. Nobile; C. Tobler : Low-rank tensor approximation for high-order correlation functions of Gaussian random fields; SIAM/ASA Journal of Uncertainty Quantification. 2015. Vol. 3, num. 1, p. 393-416. DOI : 10.1137/140968938.
L. Azzimonti; L. M. Sangalli; P. Secchi; M. Domanin; F. Nobile : Blood flow velocity field estimation via spatial regression with PDE penalization; Journal of the American Statistical Association. 2015. Vol. 110, num. 511, p. 1057-1071. DOI : 10.1080/01621459.2014.946036.
A. Chkifa; A. Cohen; G. Migliorati; F. Nobile; R. Tempone : Discrete least squares polynomial approximation with random evaluations − application to parametric and stochastic elliptic PDEs; ESAIM: Mathematical Modelling and Numerical Analysis. 2015. Vol. 49, num. 3, p. 815-837. DOI : 10.1051/m2an/2014050.
D. N. Arnold; D. Boffi; F. Bonizzoni : Finite element differential forms on curvilinear cubic meshes and their approximation properties; Numerische Mathematik. 2015. Vol. 129, num. 1, p. 1-20. DOI : 10.1007/s00211-014-0631-3.
M. Motamed; F. Nobile; R. Tempone : Analysis and computation of the elastic wave equation with random coefficients; Computers and Mathematics with Applications. 2015. Vol. 70, num. 10, p. 2454-2473. DOI : 10.1016/j.camwa.2015.09.013.

2014

C. Vergara; S. Palamara; D. Catanzariti; F. Nobile; E. Faggiano et al. : Patient-specific generation of the Purkinje network driven by clinical measurements of a normal propagation; Medical & Biological Engineering & Computing. 2014. Vol. 52, num. 10, p. 813-826. DOI : 10.1007/s11517-014-1183-5.
S. Palamara; C. Vergara; D. Catanzariti; E. Faggiano; C. Pangrazzi et al. : Computational generation of the Purkinje network driven by clinical measurements: The case of pathological propagations; International Journal for Numerical Methods in Biomedical Engineering. 2014. Vol. 30, num. 12, p. 1558-1577. DOI : 10.1002/cnm.2689.
M. Annunziato; A. Borzì; F. Nobile; R. Tempone : On the Connection between the Hamilton-Jacobi-Bellman and the Fokker-Planck Control Frameworks; Applied Mathematics. 2014. Vol. 5, p. 2476-2484. DOI : 10.4236/am.2014.516239.
C. Bayer; H. Hoel; E. Von Schwerin; R. Tempone : On Nonasymptotic Optimal Stopping Criteria In Monte Carlo Simulations; Siam Journal On Scientific Computing. 2014. Vol. 36, num. 2, p. A869-A885. DOI : 10.1137/130911433.
L. Tamellini; O. Le Maitre; A. Nouy : Model reduction based on proper generalized decomposition for the steady incompressible Navier-Stokes equations; Siam Journal on Scientific Computing. 2014. Vol. 36, num. 3, p. A1089-A1117. DOI : 10.1137/120878999.
L. Azzimonti; F. Nobile; L. M. Sangalli; P. Secchi : Mixed Finite Elements for spatial regression with PDE penalization; SIAM/ASA Journal on Uncertainty Quantification. 2014. Vol. 2, num. 1, p. 305--335. DOI : 10.1137/130925426.
G. Migliorati; F. Nobile; E. von Schwerin; R. Tempone : Analysis of Discrete L2 Projection on Polynomial Spaces with Random Evaluations; Foundations of Computational Mathematics. 2014. Vol. 14, num. 3, p. 419-456. DOI : 10.1007/s10208-013-9186-4.
F. Bonizzoni; F. Nobile : Perturbation analysis for the Darcy problem with log-normal permeability; SIAM/ASA Journal on Uncertainty Quantification. 2014. Vol. 2, num. 1, p. 223-244. DOI : 10.1137/130949415.
G. Porta; L. Tamellini; V. Lever; M. Riva : Inverse modeling of geochemical and mechanical compaction in sedimentary basins through Polynomial Chaos Expansion; Water Resources Research. 2014. Vol. 50, num. 12, p. 9414-94. DOI : 10.1002/2014WR015838.
J. Beck; F. Nobile; L. Tamellini; R. Tempone : A quasi-optimal sparse grids procedure for groundwater flows. 2014. International Conference on Spectral and High-Order Methods 2012 (ICOSAHOM'12), Gammarth, Tunisia, June 25-29, 2012. p. 1-16. DOI : 10.1007/978-3-319-01601-6_1.
F. Nobile; M. Pozzoli; C. Vergara : Inexact accurate partitioned algorithms for fluid-structure interaction problems with finite elasticity in haemodynamics; Journal of Computational Physics. 2014. Vol. 273, p. 598-617. DOI : 10.1016/j.jcp.2014.05.020.
F. Bonizzoni; A. Buffa; F. Nobile : Moment equations for the mixed formulation of the Hodge Laplacian with stochastic loading term; IMA Journal of Numerical Analysis. 2014. Vol. 34, num. 4, p. 1328-1360. DOI : 10.1093/imanum/drt041.
J. Beck; F. Nobile; L. Tamellini; R. Tempone : Convergence of quasi-optimal Stochastic Galerkin methods for a class of PDES with random coefficients; Computers and Mathematics with Applications. 2014. Vol. 67, num. 4, p. 732-751. DOI : 10.1016/j.camwa.2013.03.004.

2013

F. Nobile; M. Pozzoli; C. Vergara : Time accurate partitioned algorithms for the solution of fluid-structure interaction problems in haemodynamics; Computers & Fluids. 2013. Vol. 86, p. 470-482. DOI : 10.1016/j.compfluid.2013.07.031.
M. Motamed; F. Nobile; R. Tempone : A stochastic collocation method for the second order wave equation with a discontinuous random speed; Numerische Mathematik. 2013. Vol. 123, num. 3, p. 493-536. DOI : 10.1007/s00211-012-0493-5.
G. Migliorati; F. Nobile; E. Von Schwerin; R. Tempone : Approximation of Quantities of Interest in Stochastic PDEs by the Random Discrete $L^2$ Projection on Polynomial Spaces; SIAM Journal on Scientific Computing. 2013. Vol. 35, num. 3, p. A1440-A1460. DOI : 10.1137/120897109.

2012

F. Nobile; C. Vergara : Partitioned Algorithms for Fluid-Structure Interaction Problems in Haemodynamics; Milan Journal Of Mathematics. 2012. Vol. 80, num. 2, p. 443-467. DOI : 10.1007/s00032-012-0194-7.
T. Zhou; T. Tang : Convergence Analysis For Spectral Approximation To A Scalar Transport Equation With A Random Wave Speed; Journal Of Computational Mathematics. 2012. Vol. 30, num. 6, p. 643-656. DOI : 10.4208/jcm.1206-m4012.
E. Faou; F. Nobile; C. Vuillot : Sparse spectral approximations for computing polynomial functionals; ...... 2012.
J. Beck; F. Nobile; L. Tamellini; R. Tempone : On the optimal polynomial approximation of stochastic PDEs by Galerkin and Collocation methods; Mathematical Models and Methods in Applied Sciences (M3AS). 2012. Vol. 22, num. 9, p. 1250023.1-1250023.33. DOI : 10.1142/S0218202512500236.
F. Nobile; A. Quarteroni; R. Ruiz-Baier : An active strain electromechanical model for cardiac tissue; International Journal for Numerical Methods in Biomedical Engineering. 2012. Vol. 28, num. 1, p. 52-71. DOI : 10.1002/cnm.1468.

2011

M. Pischiutta; L. Formaggia; F. Nobile : Mathematical modelling for the evolution of aeolian dunes formed by a mixture of sands: entrainment-deposition formulation; Communications in Applied and Industrial Mathematics. 2011. Vol. 2, num. 2. DOI : 10.1685/journal.caim.377.
J. Back; F. Nobile; L. Tamellini; R. Tempone : Implementation of optimal Galerkin and Collocation approximations of PDEs with Random Coefficients; ESAIM Proceedings. 2011. Vol. 33, p. 10-21. DOI : 10.1051/proc/201133002.
L. Mirabella; F. Nobile; A. Veneziani : A posteriori error estimator for model adaptivity in electrocardiology; Computer Methods In Applied Mechanics And Engineering. 2011. Vol. 200, num. 37-40, p. 2727-2737. DOI : 10.1016/j.cma.2010.03.009.
F. Nobile; J. Back; L. Tamellini; R. Tempone : Stochastic spectral Galerkin and collocation methods for PDEs with random coefficients: a numerical comparison; Spectral and high order methods for partial differential equations : selected papers from the ICOSAHOM ’09 Conference, June 22-26, Trondheim, Norway; Berlin: Springer, 2011. p. 43-62.
D. Ambrosi; G. Arioli; F. Nobile; A. Quarteroni : Electromechanical Coupling In Cardiac Dynamics: The Active Strain Approach; Siam Journal On Applied Mathematics. 2011. Vol. 71, p. 605-621. DOI : 10.1137/100788379.
G. Migliorati; A. Quarteroni : Multilevel Schwarz methods for elliptic partial differential equations; Computer Methods In Applied Mechanics And Engineering. 2011. Vol. 200, p. 2282-2296. DOI : 10.1016/j.cma.2011.03.017.

2010

F. Nobile; I. Babuska; R. Tempone : A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data; Siam Review. 2010. Vol. 52, num. 2, p. 317-355. DOI : 10.1137/100786356.
L. Gerardo-Giorda; F. Nobile; C. Vergara : Analysis And Optimization Of Robin-Robin Partitioned Procedures In Fluid-Structure Interaction Problems; Siam Journal On Numerical Analysis. 2010. Vol. 48, num. 6, p. 2091-2116. DOI : 10.1137/09076605X.

2009

F. Nobile : Coupling strategies for the numerical simulation of blood flow in deformable arteries by 3D and 1D models; Mathematical and Computer Modelling. 2009. Vol. 49, num. 11-12, p. 2152-2160. DOI : 10.1016/j.mcm.2008.07.019.
F. Nobile; R. Tempone : Analysis and implementation issues for the numerical approximation of parabolic equations with random coefficients; INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING. 2009. Vol. 80, num. 6-7, p. 979-1006. DOI : 10.1002/nme.2656.
S. Badia; F. Nobile; C. Vergara : Robin-Robin preconditioned Krylov methods for fluid-structure interaction problems; Computer Methods In Applied Mechanics And Engineering. 2009. Vol. 198, num. 33-36, p. 2768-2784. DOI : 10.1016/j.cma.2009.04.004.
L. Gerardo-Giorda; L. Mirabella; F. Nobile; M. Perego; A. Veneziani : A model-based block-triangular preconditioner for the Bidomain system in electrocardiology; Journal Of Computational Physics. 2009. Vol. 228, num. 10, p. 3625-3639. DOI : 10.1016/j.jcp.2009.01.034.

2008

S. Badia; F. Nobile; C. Vergara : Fluid-structure partitioned procedures based on Robin transmission conditions; Journal Of Computational Physics. 2008. Vol. 227, num. 14, p. 7027-7051. DOI : 10.1016/j.jcp.2008.04.006.
I. Babuska; F. Nobile; R. Tempone : Formulation of the static frame problem; Computer Methods In Applied Mechanics And Engineering. 2008. Vol. 197, p. 2496-2499. DOI : 10.1016/j.cma.2007.12.010.
I. Babuška; F. Nobile; R. Tempone : A systematic approach to model validation based on Bayesian updates and prediction related rejection criteria; Computer Methods in Applied Mechanics and Engineering. 2008. Vol. 197, num. 29-32, p. 2517-2539. DOI : 10.1016/j.cma.2007.08.031.
F. Nobile; R. Tempone; C. G. Webster : An anisotropic sparse grid stochastic collocation method for partial differential equations with random input data; Siam Journal On Numerical Analysis. 2008. Vol. 46, num. 5, p. 2411-2442. DOI : 10.1137/070680540.
F. Nobile; R. Tempone; C. G. Webster : A sparse grid stochastic collocation method for partial differential equations with random input data; Siam Journal On Numerical Analysis. 2008. Vol. 46, num. 5, p. 2309-2345. DOI : 10.1137/060663660.
F. Nobile; C. Vergara : An effective fluid-structure interaction formulation for vascular dynamics by generalized Robin conditions; Siam Journal On Scientific Computing. 2008. Vol. 30, num. 2, p. 731-763. DOI : 10.1137/060678439.

2007

I. Babuska; F. Nobile; R. Tempone : Reliability of computational science; Numerical Methods For Partial Differential Equations. 2007. Vol. 23, num. 4, p. 753-784. DOI : 10.1002/num.20263.
L. Formaggia; A. Moura; F. Nobile : On the stability of the coupling of 3d and 1d fluid-structure interaction models for blood flow simulations; Esaim-Mathematical Modelling And Numerical Analysis-Modelisation Mathematique Et Analyse Numerique. 2007. Vol. 41, num. 4, p. 743-769. DOI : 10.1051/m2an:2007039.
I. Babuska; F. Nobile; R. Tempone : A stochastic collocation method for elliptic partial differential equations with random input data; Siam Journal On Numerical Analysis. 2007. Vol. 45, num. 3, p. 1005-1034. DOI : 10.1137/050645142.

2005

I. Babuska; F. Nobile; R. Tempone : Worst-case scenario analysis for elliptic PDEs with uncertainty. 2005. EURODYN, Paris, September 4-7, 2005. p. 889-894. DOI : 10.1007/s00211-005-0601-x.
F. Nobile; R. Tempone; I. Babuska : Worst case scenario analysis for elliptic problems with uncertainty; Numerische Mathematik. 2005. Vol. 101, p. 185-219. DOI : 10.1007/s00211-005-0601-x.
J. F. Gerbeau; F. Nobile; P. Causin : Added-mass effect in the design of partitioned algorithms for fluid-structure problems; Computer Methods In Applied Mechanics And Engineering. 2005. Vol. 194, num. 42-44, p. 4506-4527. DOI : 10.1016/j.cma.2004.12.005.
I. Babuska; F. Nobile; Y. S. Feng; R. Tempone; J. T. Oden : Theory and methodology for estimation and control of errors due to modeling, approximation, and uncertainty; Computer Methods In Applied Mechanics And Engineering. 2005. Vol. 194, num. 2-5, p. 195-204. DOI : 10.1016/j.cma.2003.06.003.

2004

S. Prudhomme; F. Nobile; L. Chamoin; J. T. Oden : Analysis of a subdomain-based error estimator for finite element approximations of elliptic problems; Numerical Methods for Partial Differential Equations. 2004. Vol. 20, num. 2, p. 165-192. DOI : 10.1002/num.10082.
F. Nobile; L. Formaggia : Stability analysis of second-order time accurate schemes for ALE-FEM; Computer Methods In Applied Mechanics And Engineering. 2004. Vol. 193, p. 4097-4116. DOI : 10.1016/j.cma.2003.09.028.

2003

F. Nobile : A posteriori error estimates for the finite element approximation of the Stokes problem; TICAM Report 03-13. 2003.
S. Deparis; M. A. Fernández; L. Formaggia; F. Nobile : Modified fixed point algorithm in fluid–structure interaction; Comptes rendus Mecanique. 2003. Vol. 331, num. 8, p. 525-530. DOI : 10.1016/S1631-0721(03)00119-0.

2002

L. Formaggia; J. F. Gerbeau; F. Nobile; A. Quarteroni : Numerical treatment of defective boundary conditions for the Navier-Stokes equations; SIAM Journal on Numerical Analysis. 2002. Vol. 40, num. 1, p. 376-401. DOI : 10.1137/S003614290038296X.

2001

L. Formaggia; F. Nobile : Advances on numerical modelling of blood flow problems. 2001. ECCOMAS 2000.
L. Formaggia; J. F. Gerbeau; F. Nobile; A. Quarteroni : On the coupling of 3D and 1D Navier-Stokes equations for flow problems in compliant vessels; Computer Methods in Applied Mechanics and Engineering. 2001. Vol. 191, num. 6-7, p. 561-582. DOI : 10.1016/S0045-7825(01)00302-4.

1999

F. Nobile; L. Formaggia : A Stability Analysis for the Arbitrary Lagrangian Eulerian Formulation with Finite Elements; East-West Journal of Numerical Mathematics. 1999. Vol. 7, num. 2, p. 105-132.
A. Veneziani; F. Nobile : Fluid structure interaction in blood flow problems. 1999. GAMM meeting, Bremen, 1998. p. S255-S258.
L. Formaggia; F. Nobile; A. Quarteroni; A. Veneziani : Multiscale modelling of the circulatory system: a preliminary analysis. 1999. p. 75-83. DOI : 10.1007/s007910050030.