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## Nobile, Fabio

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 Author ID: nobile.fabio Published as: Nobile, F.; Nobile, Fabio External Links: MGP
 Documents Indexed: 89 Publications since 1999, including 1 Book
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#### Co-Authors

 1 single-authored 33 Tempone, Raúl F. 11 Tamellini, Lorenzo 9 Formaggia, Luca 8 Vergara, Christian 7 Babuška, Ivo 7 Bonizzoni, Francesca 6 Haji-Ali, Abdul-Lateef 6 Migliorati, Giovanni 6 Quarteroni, Alfio M. 4 Beck, Joakim 4 Sangalli, Laura Maria 4 Veneziani, Alessandro 4 von Schwerin, Erik 3 Azzimonti, Laura 3 Gerbeau, Jean-Frédéric 3 Guignard, Diane 3 Kressner, Daniel 3 Krumscheid, Sebastian 3 Musharbash, Eleonora 3 Perugia, Ilaria 3 Picasso, Marco 2 Arnone, Eleonora 2 Badia, Santiago 2 Chernov, Alexey 2 Cohen, Albert 2 Deparis, Simone 2 Gerardo-Giorda, Luca 2 Mirabella, Lucia 2 Motamed, Mohammad 2 Oden, John Tinsley 2 Pisaroni, M. 2 Pozzoli, Matteo 2 Pradovera, Davide 2 Secchi, Piercesare 2 Tesei, Francesco 2 Webster, Clayton G. 2 Wolfers, Sören 1 Abdulle, Assyr 1 Ambrosi, Davide 1 Arioli, Gianni 1 Bäck, Joakim 1 Brugiapaglia, Simone 1 Buffa, Annalisa 1 Castrillon-Candas, Julio Enrique 1 Causin, Paola 1 Chamoin, Ludovic 1 Chkifa, Abdellah 1 Collier, Nathan 1 Colombo, Ivo 1 Debussche, Arnaud 1 Domanin, Maurizio 1 Ernst, Oliver G. 1 Faggiano, Elena 1 Feng, Yusheng 1 Fernández, Miguel Ángel 1 Hoel, Hakon A. 1 Kneip, Alois Richard 1 Kumar, Rajesh S. 1 Law, Kody J. H. 1 Leyland, Pénélope 1 Micheletti, Stefano 1 Moura, Alexandra B. 1 Palamara, Simone 1 Papaioannou, Iason 1 Perego, Mauro 1 Perotto, Simona 1 Pischiutta, Matteo 1 Porta, Giovanni M. 1 Prudhomme, Serge 1 Rey, Valentine 1 Ruiz-Baier, Ricardo 1 Schillings, Claudia 1 Scotti, Anna 1 Straub, Daniel 1 Sullivan, Tim 1 Tobler, Christine 1 Tsilifis, Panagiotis A. 1 Vidličková, Eva 1 Zhou, Tao
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#### Serials

 13 Computer Methods in Applied Mechanics and Engineering 7 Journal of Computational Physics 6 Numerische Mathematik 6 SIAM Journal on Numerical Analysis 4 Computers & Mathematics with Applications 4 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 4 SIAM/ASA Journal on Uncertainty Quantification 3 Numerical Methods for Partial Differential Equations 3 SIAM Journal on Scientific Computing 3 Stochastic and Partial Differential Equations. Analysis and Computations 2 Mathematics of Computation 2 BIT 2 Journal of Multivariate Analysis 2 Foundations of Computational Mathematics 1 Computers and Fluids 1 IMA Journal of Numerical Analysis 1 International Journal of Engineering Science 1 International Journal for Numerical Methods in Engineering 1 Journal of the American Statistical Association 1 Journal of Complexity 1 Constructive Approximation 1 Mathematical and Computer Modelling 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 SIAM Journal on Applied Mathematics 1 SIAM Review 1 East-West Journal of Numerical Mathematics 1 Advances in Computational Mathematics 1 Computing and Visualization in Science 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Comptes Rendus. Mécanique. Académie des Sciences, Paris 1 Milan Journal of Mathematics 1 Oberwolfach Reports 1 Lecture Notes in Computational Science and Engineering 1 International Journal for Numerical Methods in Biomedical Engineering 1 Communications in Applied and Industrial Mathematics
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#### Fields

 58 Numerical analysis (65-XX) 40 Partial differential equations (35-XX) 26 Probability theory and stochastic processes (60-XX) 23 Fluid mechanics (76-XX) 21 Biology and other natural sciences (92-XX) 18 Mechanics of deformable solids (74-XX) 13 Approximations and expansions (41-XX) 10 Statistics (62-XX) 3 General and overarching topics; collections (00-XX) 3 Optics, electromagnetic theory (78-XX) 2 Functions of a complex variable (30-XX) 2 Several complex variables and analytic spaces (32-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

#### Citations contained in zbMATH

74 Publications have been cited 2,483 times in 1,330 Documents Cited by Year
A stochastic collocation method for elliptic partial differential equations with random input data. Zbl 1151.65008
Babuška, Ivo; Nobile, Fabio; Tempone, Raúl
2007
A sparse grid stochastic collocation method for partial differential equations with random input data. Zbl 1176.65137
Nobile, F.; Tempone, R.; Webster, C. G.
2008
Added-mass effect in the design of partitioned algorithms for fluid–structure problems. Zbl 1101.74027
Causin, P.; Gerbeau, J. F.; Nobile, F.
2005
An anisotropic sparse grid stochastic collocation method for partial differential equations with random input data. Zbl 1176.65007
Nobile, F.; Tempone, R.; Webster, C. G.
2008
On the coupling of 3D and 1D Navier-Stokes equations for flow problems in compliant vessels. Zbl 1007.74035
Formaggia, L.; Gerbeau, J. F.; Nobile, F.; Quarteroni, A.
2001
A stochastic collocation method for elliptic partial differential equations with random input data. Zbl 1226.65004
Babuška, Ivo; Nobile, Fabio; Tempone, Raúl
2010
Fluid-structure partitioned procedures based on Robin transmission conditions. Zbl 1140.74010
Badia, Santiago; Nobile, Fabio; Vergara, Christian
2008
A stability analysis for the arbitrary Lagrangian Eulerian formulation with finite elements. Zbl 0942.65113
Formaggia, L.; Nobile, F.
1999
An effective fluid-structure interaction formulation for vascular dynamics by generalized Robin conditions. Zbl 1168.74038
Nobile, F.; Vergara, C.
2008
Multiscale modelling of the circulatory system: a preliminary analysis. Zbl 1067.76624
Formaggia, Luca; Nobile, Fabio; Quarteroni, Alfio; Veneziani, Alessandro
1999
Numerical treatment of defective boundary conditions for the Navier-Stokes equations. Zbl 1020.35070
Formaggia, L.; Gerbeau, J.-F.; Nobile, F.; Quarteroni, A.
2002
Stochastic spectral Galerkin and collocation methods for PDEs with random coefficients: a numerical comparison. Zbl 1216.65004
Bäck, Joakim; Nobile, Fabio; Tamellini, Lorenzo; Tempone, Raul
2011
On the optimal polynomial approximation of stochastic PDEs by Galerkin and collocation methods. Zbl 1262.65009
Beck, Joakim; Tempone, Raul; Nobile, Fabio; Tamellini, Lorenzo
2012
Stability analysis of second-order time accurate schemes for ALE-FEM. Zbl 1175.76091
Formaggia, Luca; Nobile, Fabio
2004
Robin-Robin preconditioned Krylov methods for fluid-structure interaction problems. Zbl 1228.76079
Badia, Santiago; Nobile, Fabio; Vergara, Christian
2009
A continuation multilevel Monte Carlo algorithm. Zbl 1317.65030
Collier, Nathan; Haji-Ali, Abdul-Lateef; Nobile, Fabio; von Schwerin, Erik; Tempone, Raúl
2015
Analysis of discrete $$L^2$$ projection on polynomial spaces with random evaluations. Zbl 1301.41005
Migliorati, G.; Nobile, F.; von Schwerin, E.; Tempone, R.
2014
Discrete least squares polynomial approximation with random evaluations - application to parametric and stochastic elliptic PDEs. Zbl 1318.41004
Chkifa, Abdellah; Cohen, Albert; Migliorati, Giovanni; Nobile, Fabio; Tempone, Raul
2015
Approximation of quantities of interest in stochastic PDEs by the random discrete $$L^2$$ projection on polynomial spaces. Zbl 1276.65004
Migliorati, G.; Nobile, F.; von Schwerin, E.; Tempone, R.
2013
Multi-index Monte Carlo: when sparsity meets sampling. Zbl 1339.65009
Haji-Ali, Abdul-Lateef; Nobile, Fabio; Tempone, Raúl
2016
Convergence of quasi-optimal stochastic Galerkin methods for a class of PDES with random coefficients. Zbl 1350.65003
Beck, Joakim; Nobile, Fabio; Tamellini, Lorenzo; Tempone, Raúl
2014
On the stability of the coupling of 3D and 1D fluid-structure interaction models for blood flow simulations. Zbl 1139.92009
Formaggia, Luca; Moura, Alexandra; Nobile, Fabio
2007
An active strain electromechanical model for cardiac tissue. Zbl 1242.92016
Nobile, F.; Quarteroni, A.; Ruiz-Baier, R.
2012
Analysis and optimization of Robin-Robin partitioned procedures in fluid-structure interaction problems. Zbl 1392.74075
Gerardo-Giorda, Luca; Nobile, Fabio; Vergara, Christian
2010
A stochastic collocation method for the second-order wave equation with a discontinuous random speed. Zbl 1268.65008
Motamed, Mohammad; Nobile, Fabio; Tempone, Raúl
2013
Electromechanical coupling in cardiac dynamics: the active strain approach. Zbl 1419.74174
Ambrosi, D.; Arioli, G.; Nobile, F.; Quarteroni, A.
2011
Analysis and implementation issues for the numerical approximation of parabolic equations with random coefficients. Zbl 1176.76110
Nobile, F.; Tempone, Raul
2009
Error analysis of the dynamically orthogonal approximation of time dependent random PDEs. Zbl 1320.65149
Musharbash, E.; Nobile, F.; Zhou, T.
2015
A model-based block-triangular preconditioner for the bidomain system in electrocardiology. Zbl 1187.92053
Gerardo-Giorda, L.; Mirabella, L.; Nobile, F.; Perego, M.; Veneziani, A.
2009
A systematic approach to model validation based on Bayesian updates and prediction related rejection criteria. Zbl 1139.74012
Babuška, I.; Nobile, F.; Tempone, R.
2008
Theory and methodology for estimation and control of errors due to modeling, approximation, and uncertainty. Zbl 1143.74373
Oden, J. Tinsley; Babuška, Ivo; Nobile, Fabio; Feng, Yusheng; Tempone, Raul
2005
Analysis of a subdomain-based error estimator for finite element approximations of elliptic problems. Zbl 1049.65123
Prudhomme, S.; Nobile, F.; Chamoin, L.; Oden, J. T.
2004
Optimization of mesh hierarchies in multilevel Monte Carlo samplers. Zbl 1359.65013
Haji-Ali, Abdul-Lateef; Nobile, Fabio; von Schwerin, Erik; Tempone, Raúl
2016
Convergence of quasi-optimal sparse-grid approximation of Hilbert-space-valued functions: Application to random elliptic PDEs. Zbl 1351.41004
Nobile, F.; Tamellini, L.; Tempone, R.
2016
Worst case scenario analysis for elliptic problems with uncertainty. Zbl 1082.65115
Babuška, I.; Nobile, F.; Tempone, R.
2005
A multi level Monte Carlo method with control variate for elliptic PDEs with log-normal coefficients. Zbl 1334.60133
Nobile, Fabio; Tesei, Francesco
2015
Time accurate partitioned algorithms for the solution of fluid-structure interaction problems in haemodynamics. Zbl 1290.76166
Nobile, Fabio; Pozzoli, Matteo; Vergara, Christian
2013
An adaptive sparse grid algorithm for elliptic PDEs with lognormal diffusion coefficient. Zbl 1339.65016
Nobile, Fabio; Tamellini, Lorenzo; Tesei, Francesco; Tempone, Raúl
2016
Analysis of discrete least squares on multivariate polynomial spaces with evaluations at low-discrepancy point sets. Zbl 1320.62076
Migliorati, Giovanni; Nobile, Fabio
2015
Inexact accurate partitioned algorithms for fluid-structure interaction problems with finite elasticity in haemodynamics. Zbl 1351.76324
Nobile, Fabio; Pozzoli, Matteo; Vergara, Christian
2014
Partitioned algorithms for fluid-structure interaction problems in haemodynamics. Zbl 1344.76099
Nobile, Fabio; Vergara, Christian
2012
Multi-index stochastic collocation convergence rates for random PDEs with parametric regularity. Zbl 1371.65009
Haji-Ali, Abdul-Lateef; Nobile, Fabio; Tamellini, Lorenzo; Tempone, Raúl
2016
Reliability of computational science. Zbl 1118.65030
Babuška, I.; Nobile, F.; Tempone, R.
2007
Blood flow velocity field estimation via spatial regression with PDE penalization. Zbl 1373.62534
Azzimonti, Laura; Sangalli, Laura M.; Secchi, Piercesare; Domanin, Maurizio; Nobile, Fabio
2015
A quasi-optimal sparse grids procedure for groundwater flows. Zbl 1417.76040
Beck, Joakim; Nobile, Fabio; Tamellini, Lorenzo; Tempone, Raúl
2014
A one-dimensional model for blood flow: Application to vascular prosthesis. Zbl 1001.76127
Formaggia, Luca; Nobile, Fabio; Quarteroni, Alfio
2002
Mixed finite elements for spatial regression with PDE penalization. Zbl 1306.65275
Azzimonti, Laura; Nobile, Fabio; Sangalli, Laura M.; Secchi, Piercesare
2014
Implementation of optimal Galerkin and collocation approximations of PDEs with random coefficients. Zbl 1302.65249
Beck, J.; Nobile, F.; Tamellini, L.; Tempone, R.
2011
Formulation of the static frame problem. Zbl 1388.74115
Babuška, I. (ed.); Nobile, F. (ed.); Tempone, R. (ed.)
2008
Convergence estimates in probability and in expectation for discrete least squares with noisy evaluations at random points. Zbl 1327.41004
Migliorati, Giovanni; Nobile, Fabio; Tempone, Raúl
2015
Comparison of Clenshaw-Curtis and Leja quasi-optimal sparse grids for the approximation of random PDEs. Zbl 1352.65018
Nobile, Fabio; Tamellini, Lorenzo; Tempone, Raul
2015
Moment equations for the mixed formulation of the Hodge Laplacian with stochastic loading term. Zbl 1305.78015
Bonizzoni, Francesca; Buffa, Annalisa; Nobile, Fabio
2014
An a posteriori error estimator for model adaptivity in electrocardiology. Zbl 1230.92026
Mirabella, L.; Nobile, F.; Veneziani, A.
2011
Dual dynamically orthogonal approximation of incompressible Navier Stokes equations with random boundary conditions. Zbl 1380.35171
Musharbash, Eleonora; Nobile, Fabio
2018
Discrete least-squares approximations over optimized downward closed polynomial spaces in arbitrary dimension. Zbl 1371.41004
Cohen, Albert; Migliorati, Giovanni; Nobile, Fabio
2017
Coupling strategies for the numerical simulation of blood flow in deformable arteries by 3D and 1D models. Zbl 1171.76436
Nobile, F.
2009
Multi-index stochastic collocation for random PDEs. Zbl 1436.65196
Haji-Ali, Abdul-Lateef; Nobile, Fabio; Tamellini, Lorenzo; Tempone, Raúl
2016
A posteriori error estimation for elliptic partial differential equations with small uncertainties. Zbl 1350.65007
Guignard, Diane; Nobile, Fabio; Picasso, Marco
2016
Perturbation analysis for the Darcy problem with log-normal permeability. Zbl 1311.76130
Bonizzoni, Francesca; Nobile, Fabio
2014
Convergence analysis of Padé approximations for Helmholtz frequency response problems. Zbl 1411.35079
Bonizzoni, Francesca; Nobile, Fabio; Perugia, Ilaria
2018
A posteriori error estimation for the stochastic collocation finite element method. Zbl 1402.65159
Guignard, Diane; Nobile, Fabio
2018
A theoretical study of compressed solving for advection-diffusion-reaction problems. Zbl 1376.65127
Brugiapaglia, Simone; Nobile, Fabio; Micheletti, Stefano; Perotto, Simona
2018
Low-rank tensor approximation for high-order correlation functions of Gaussian random fields. Zbl 1322.65027
Kressner, Daniel; Kumar, Rajesh; Nobile, Fabio; Tobler, Christine
2015
Fast least-squares Padé approximation of problems with normal operators and meromorphic structure. Zbl 1435.30114
Bonizzoni, Francesca; Nobile, Fabio; Perugia, Ilaria; Pradovera, Davide
2020
Modeling spatially dependent functional data via regression with differential regularization. Zbl 1415.62016
Arnone, Eleonora; Azzimonti, Laura; Nobile, Fabio; Sangalli, Laura M.
2019
Multilevel Monte Carlo approximation of functions. Zbl 07003636
Krumscheid, Sebastian; Nobile, Fabio
2018
Sparse approximation of multilinear problems with applications to kernel-based methods in UQ. Zbl 1394.65010
Nobile, Fabio; Tempone, Raúl; Wolfers, Sören
2018
A continuation multi level Monte Carlo (C-MLMC) method for uncertainty quantification in compressible inviscid aerodynamics. Zbl 1439.76135
Pisaroni, M.; Nobile, F.; Leyland, P.
2017
Tensor train approximation of moment equations for elliptic equations with lognormal coefficient. Zbl 1439.65149
Bonizzoni, F.; Nobile, F.; Kressner, D.
2016
An effective algorithm for the generation of patient-specific Purkinje networks in computational electrocardiology. Zbl 1352.92090
Palamara, Simone; Vergara, Christian; Faggiano, Elena; Nobile, Fabio
2015
Least-squares Padé approximation of parametric and stochastic Helmholtz maps. Zbl 1439.30058
Bonizzoni, Francesca; Nobile, Fabio; Perugia, Ilaria; Pradovera, Davide
2020
Analysis and computation of the elastic wave equation with random coefficients. Zbl 1443.65264
Motamed, Mohammad; Nobile, Fabio; Tempone, Raúl
2015
Mathematical modelling for the evolution of aeolian dunes formed by a mixture of sands: entrainment-deposition formulation. Zbl 1329.86005
Pischiutta, Matteo; Formaggia, Luca; Nobile, Fabio
2011
Fluid structure interaction in blood flow problems. Zbl 0949.74044
Nobile, F.; Veneziani, A.
1999
Fast least-squares Padé approximation of problems with normal operators and meromorphic structure. Zbl 1435.30114
Bonizzoni, Francesca; Nobile, Fabio; Perugia, Ilaria; Pradovera, Davide
2020
Least-squares Padé approximation of parametric and stochastic Helmholtz maps. Zbl 1439.30058
Bonizzoni, Francesca; Nobile, Fabio; Perugia, Ilaria; Pradovera, Davide
2020
Modeling spatially dependent functional data via regression with differential regularization. Zbl 1415.62016
Arnone, Eleonora; Azzimonti, Laura; Nobile, Fabio; Sangalli, Laura M.
2019
Dual dynamically orthogonal approximation of incompressible Navier Stokes equations with random boundary conditions. Zbl 1380.35171
Musharbash, Eleonora; Nobile, Fabio
2018
Convergence analysis of Padé approximations for Helmholtz frequency response problems. Zbl 1411.35079
Bonizzoni, Francesca; Nobile, Fabio; Perugia, Ilaria
2018
A posteriori error estimation for the stochastic collocation finite element method. Zbl 1402.65159
Guignard, Diane; Nobile, Fabio
2018
A theoretical study of compressed solving for advection-diffusion-reaction problems. Zbl 1376.65127
Brugiapaglia, Simone; Nobile, Fabio; Micheletti, Stefano; Perotto, Simona
2018
Multilevel Monte Carlo approximation of functions. Zbl 07003636
Krumscheid, Sebastian; Nobile, Fabio
2018
Sparse approximation of multilinear problems with applications to kernel-based methods in UQ. Zbl 1394.65010
Nobile, Fabio; Tempone, Raúl; Wolfers, Sören
2018
Discrete least-squares approximations over optimized downward closed polynomial spaces in arbitrary dimension. Zbl 1371.41004
Cohen, Albert; Migliorati, Giovanni; Nobile, Fabio
2017
A continuation multi level Monte Carlo (C-MLMC) method for uncertainty quantification in compressible inviscid aerodynamics. Zbl 1439.76135
Pisaroni, M.; Nobile, F.; Leyland, P.
2017
Multi-index Monte Carlo: when sparsity meets sampling. Zbl 1339.65009
Haji-Ali, Abdul-Lateef; Nobile, Fabio; Tempone, Raúl
2016
Optimization of mesh hierarchies in multilevel Monte Carlo samplers. Zbl 1359.65013
Haji-Ali, Abdul-Lateef; Nobile, Fabio; von Schwerin, Erik; Tempone, Raúl
2016
Convergence of quasi-optimal sparse-grid approximation of Hilbert-space-valued functions: Application to random elliptic PDEs. Zbl 1351.41004
Nobile, F.; Tamellini, L.; Tempone, R.
2016
An adaptive sparse grid algorithm for elliptic PDEs with lognormal diffusion coefficient. Zbl 1339.65016
Nobile, Fabio; Tamellini, Lorenzo; Tesei, Francesco; Tempone, Raúl
2016
Multi-index stochastic collocation convergence rates for random PDEs with parametric regularity. Zbl 1371.65009
Haji-Ali, Abdul-Lateef; Nobile, Fabio; Tamellini, Lorenzo; Tempone, Raúl
2016
Multi-index stochastic collocation for random PDEs. Zbl 1436.65196
Haji-Ali, Abdul-Lateef; Nobile, Fabio; Tamellini, Lorenzo; Tempone, Raúl
2016
A posteriori error estimation for elliptic partial differential equations with small uncertainties. Zbl 1350.65007
Guignard, Diane; Nobile, Fabio; Picasso, Marco
2016
Tensor train approximation of moment equations for elliptic equations with lognormal coefficient. Zbl 1439.65149
Bonizzoni, F.; Nobile, F.; Kressner, D.
2016
A continuation multilevel Monte Carlo algorithm. Zbl 1317.65030
Collier, Nathan; Haji-Ali, Abdul-Lateef; Nobile, Fabio; von Schwerin, Erik; Tempone, Raúl
2015
Discrete least squares polynomial approximation with random evaluations - application to parametric and stochastic elliptic PDEs. Zbl 1318.41004
Chkifa, Abdellah; Cohen, Albert; Migliorati, Giovanni; Nobile, Fabio; Tempone, Raul
2015
Error analysis of the dynamically orthogonal approximation of time dependent random PDEs. Zbl 1320.65149
Musharbash, E.; Nobile, F.; Zhou, T.
2015
A multi level Monte Carlo method with control variate for elliptic PDEs with log-normal coefficients. Zbl 1334.60133
Nobile, Fabio; Tesei, Francesco
2015
Analysis of discrete least squares on multivariate polynomial spaces with evaluations at low-discrepancy point sets. Zbl 1320.62076
Migliorati, Giovanni; Nobile, Fabio
2015
Blood flow velocity field estimation via spatial regression with PDE penalization. Zbl 1373.62534
Azzimonti, Laura; Sangalli, Laura M.; Secchi, Piercesare; Domanin, Maurizio; Nobile, Fabio
2015
Convergence estimates in probability and in expectation for discrete least squares with noisy evaluations at random points. Zbl 1327.41004
Migliorati, Giovanni; Nobile, Fabio; Tempone, Raúl
2015
Comparison of Clenshaw-Curtis and Leja quasi-optimal sparse grids for the approximation of random PDEs. Zbl 1352.65018
Nobile, Fabio; Tamellini, Lorenzo; Tempone, Raul
2015
Low-rank tensor approximation for high-order correlation functions of Gaussian random fields. Zbl 1322.65027
Kressner, Daniel; Kumar, Rajesh; Nobile, Fabio; Tobler, Christine
2015
An effective algorithm for the generation of patient-specific Purkinje networks in computational electrocardiology. Zbl 1352.92090
Palamara, Simone; Vergara, Christian; Faggiano, Elena; Nobile, Fabio
2015
Analysis and computation of the elastic wave equation with random coefficients. Zbl 1443.65264
Motamed, Mohammad; Nobile, Fabio; Tempone, Raúl
2015
Analysis of discrete $$L^2$$ projection on polynomial spaces with random evaluations. Zbl 1301.41005
Migliorati, G.; Nobile, F.; von Schwerin, E.; Tempone, R.
2014
Convergence of quasi-optimal stochastic Galerkin methods for a class of PDES with random coefficients. Zbl 1350.65003
Beck, Joakim; Nobile, Fabio; Tamellini, Lorenzo; Tempone, Raúl
2014
Inexact accurate partitioned algorithms for fluid-structure interaction problems with finite elasticity in haemodynamics. Zbl 1351.76324
Nobile, Fabio; Pozzoli, Matteo; Vergara, Christian
2014
A quasi-optimal sparse grids procedure for groundwater flows. Zbl 1417.76040
Beck, Joakim; Nobile, Fabio; Tamellini, Lorenzo; Tempone, Raúl
2014
Mixed finite elements for spatial regression with PDE penalization. Zbl 1306.65275
Azzimonti, Laura; Nobile, Fabio; Sangalli, Laura M.; Secchi, Piercesare
2014
Moment equations for the mixed formulation of the Hodge Laplacian with stochastic loading term. Zbl 1305.78015
Bonizzoni, Francesca; Buffa, Annalisa; Nobile, Fabio
2014
Perturbation analysis for the Darcy problem with log-normal permeability. Zbl 1311.76130
Bonizzoni, Francesca; Nobile, Fabio
2014
Approximation of quantities of interest in stochastic PDEs by the random discrete $$L^2$$ projection on polynomial spaces. Zbl 1276.65004
Migliorati, G.; Nobile, F.; von Schwerin, E.; Tempone, R.
2013
A stochastic collocation method for the second-order wave equation with a discontinuous random speed. Zbl 1268.65008
Motamed, Mohammad; Nobile, Fabio; Tempone, Raúl
2013
Time accurate partitioned algorithms for the solution of fluid-structure interaction problems in haemodynamics. Zbl 1290.76166
Nobile, Fabio; Pozzoli, Matteo; Vergara, Christian
2013
On the optimal polynomial approximation of stochastic PDEs by Galerkin and collocation methods. Zbl 1262.65009
Beck, Joakim; Tempone, Raul; Nobile, Fabio; Tamellini, Lorenzo
2012
An active strain electromechanical model for cardiac tissue. Zbl 1242.92016
Nobile, F.; Quarteroni, A.; Ruiz-Baier, R.
2012
Partitioned algorithms for fluid-structure interaction problems in haemodynamics. Zbl 1344.76099
Nobile, Fabio; Vergara, Christian
2012
Stochastic spectral Galerkin and collocation methods for PDEs with random coefficients: a numerical comparison. Zbl 1216.65004
Bäck, Joakim; Nobile, Fabio; Tamellini, Lorenzo; Tempone, Raul
2011
Electromechanical coupling in cardiac dynamics: the active strain approach. Zbl 1419.74174
Ambrosi, D.; Arioli, G.; Nobile, F.; Quarteroni, A.
2011
Implementation of optimal Galerkin and collocation approximations of PDEs with random coefficients. Zbl 1302.65249
Beck, J.; Nobile, F.; Tamellini, L.; Tempone, R.
2011
An a posteriori error estimator for model adaptivity in electrocardiology. Zbl 1230.92026
Mirabella, L.; Nobile, F.; Veneziani, A.
2011
Mathematical modelling for the evolution of aeolian dunes formed by a mixture of sands: entrainment-deposition formulation. Zbl 1329.86005
Pischiutta, Matteo; Formaggia, Luca; Nobile, Fabio
2011
A stochastic collocation method for elliptic partial differential equations with random input data. Zbl 1226.65004
Babuška, Ivo; Nobile, Fabio; Tempone, Raúl
2010
Analysis and optimization of Robin-Robin partitioned procedures in fluid-structure interaction problems. Zbl 1392.74075
Gerardo-Giorda, Luca; Nobile, Fabio; Vergara, Christian
2010
Robin-Robin preconditioned Krylov methods for fluid-structure interaction problems. Zbl 1228.76079
Badia, Santiago; Nobile, Fabio; Vergara, Christian
2009
Analysis and implementation issues for the numerical approximation of parabolic equations with random coefficients. Zbl 1176.76110
Nobile, F.; Tempone, Raul
2009
A model-based block-triangular preconditioner for the bidomain system in electrocardiology. Zbl 1187.92053
Gerardo-Giorda, L.; Mirabella, L.; Nobile, F.; Perego, M.; Veneziani, A.
2009
Coupling strategies for the numerical simulation of blood flow in deformable arteries by 3D and 1D models. Zbl 1171.76436
Nobile, F.
2009
A sparse grid stochastic collocation method for partial differential equations with random input data. Zbl 1176.65137
Nobile, F.; Tempone, R.; Webster, C. G.
2008
An anisotropic sparse grid stochastic collocation method for partial differential equations with random input data. Zbl 1176.65007
Nobile, F.; Tempone, R.; Webster, C. G.
2008
Fluid-structure partitioned procedures based on Robin transmission conditions. Zbl 1140.74010
Badia, Santiago; Nobile, Fabio; Vergara, Christian
2008
An effective fluid-structure interaction formulation for vascular dynamics by generalized Robin conditions. Zbl 1168.74038
Nobile, F.; Vergara, C.
2008
A systematic approach to model validation based on Bayesian updates and prediction related rejection criteria. Zbl 1139.74012
Babuška, I.; Nobile, F.; Tempone, R.
2008
Formulation of the static frame problem. Zbl 1388.74115
Babuška, I. (ed.); Nobile, F. (ed.); Tempone, R. (ed.)
2008
A stochastic collocation method for elliptic partial differential equations with random input data. Zbl 1151.65008
Babuška, Ivo; Nobile, Fabio; Tempone, Raúl
2007
On the stability of the coupling of 3D and 1D fluid-structure interaction models for blood flow simulations. Zbl 1139.92009
Formaggia, Luca; Moura, Alexandra; Nobile, Fabio
2007
Reliability of computational science. Zbl 1118.65030
Babuška, I.; Nobile, F.; Tempone, R.
2007
Added-mass effect in the design of partitioned algorithms for fluid–structure problems. Zbl 1101.74027
Causin, P.; Gerbeau, J. F.; Nobile, F.
2005
Theory and methodology for estimation and control of errors due to modeling, approximation, and uncertainty. Zbl 1143.74373
Oden, J. Tinsley; Babuška, Ivo; Nobile, Fabio; Feng, Yusheng; Tempone, Raul
2005
Worst case scenario analysis for elliptic problems with uncertainty. Zbl 1082.65115
Babuška, I.; Nobile, F.; Tempone, R.
2005
Stability analysis of second-order time accurate schemes for ALE-FEM. Zbl 1175.76091
Formaggia, Luca; Nobile, Fabio
2004
Analysis of a subdomain-based error estimator for finite element approximations of elliptic problems. Zbl 1049.65123
Prudhomme, S.; Nobile, F.; Chamoin, L.; Oden, J. T.
2004
Numerical treatment of defective boundary conditions for the Navier-Stokes equations. Zbl 1020.35070
Formaggia, L.; Gerbeau, J.-F.; Nobile, F.; Quarteroni, A.
2002
A one-dimensional model for blood flow: Application to vascular prosthesis. Zbl 1001.76127
Formaggia, Luca; Nobile, Fabio; Quarteroni, Alfio
2002
On the coupling of 3D and 1D Navier-Stokes equations for flow problems in compliant vessels. Zbl 1007.74035
Formaggia, L.; Gerbeau, J. F.; Nobile, F.; Quarteroni, A.
2001
A stability analysis for the arbitrary Lagrangian Eulerian formulation with finite elements. Zbl 0942.65113
Formaggia, L.; Nobile, F.
1999
Multiscale modelling of the circulatory system: a preliminary analysis. Zbl 1067.76624
Formaggia, Luca; Nobile, Fabio; Quarteroni, Alfio; Veneziani, Alessandro
1999
Fluid structure interaction in blood flow problems. Zbl 0949.74044
Nobile, F.; Veneziani, A.
1999
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#### Cited by 2,230 Authors

 52 Nobile, Fabio 38 Quarteroni, Alfio M. 37 Tempone, Raúl F. 26 Schwab, Christoph 20 Karniadakis, George Em 17 Čanić, Sunčica 17 Fernández, Miguel Ángel 17 Harbrecht, Helmut 17 Lin, Guang 17 Vergara, Christian 15 Zhou, Tao 14 Doostan, Alireza 14 Gerbeau, Jean-Frédéric 14 Narayan, Akil C. 14 Oden, John Tinsley 14 Veneziani, Alessandro 13 Formaggia, Luca 13 Webster, Clayton G. 12 Gunzburger, Max D. 12 Tamellini, Lorenzo 12 Xiu, Dongbin 11 Babuška, Ivo 11 Blanco, Pablo Javier 11 Bukač, Martina 11 Cohen, Albert 11 Degroote, Joris 11 Iaccarino, Gianluca 11 Peters, Michael D. 10 Jakeman, John Davis 10 Le Maître, Olivier P. 10 Matthies, Hermann Georg 10 Ruiz-Baier, Ricardo 10 Zabaras, Nicholas J. 10 Zhang, Guannan 9 Badia, Santiago 9 Bazilevs, Yuri 9 Chen, Peng 9 Eigel, Martin 9 Griebel, Michael 9 Grigoriu, Mircea D. 9 Guo, Ling 9 Migliorati, Giovanni 9 Motamed, Mohammad 9 Prudhomme, Serge 9 Wall, Wolfgang A. 8 Haji-Ali, Abdul-Lateef 8 Hughes, Thomas J. R. 8 Muha, Boris 8 Nouy, Anthony 8 Scheichl, Robert 8 Sequeira, Adélia 8 Toro, Eleuterio F. 8 Vierendeels, Jan 8 Wick, Thomas 8 Witteveen, Jeroen A. S. 8 Zhang, Zhiwen 7 Bijl, Hester 7 Chamoin, Ludovic 7 Deparis, Simone 7 Geraci, Gianluca 7 Knio, Omar M. 7 Phipps, Eric T. 7 Sangalli, Laura Maria 7 Taylor, Charles A. 7 Yu, Yue 6 Banks, Jeffrey W. 6 Codina, Ramon 6 Feijóo, Raúl Antonino 6 Ghanem, Roger G. 6 Guidoboni, Giovanna 6 Henshaw, William D. 6 Houzeaux, Guillaume 6 Jiang, Lijian 6 Lee, Hyesuk Kwon 6 Marsden, Alison L. 6 Oosterlee, Cornelis Willebrordus 6 Quaini, Annalisa 6 Scacchi, Simone 6 Schneider, Reinhold 6 Schwendeman, Donald W. 6 Siebenmorgen, Markus 6 Teresi, Luciano 6 Yotov, Ivan 5 Abgrall, Rémi 5 Adcock, Ben 5 Alexanderian, Alen 5 Beck, Joakim 5 Cai, Xiao-Chuan 5 Congedo, Pietro Marco 5 Dede, Luca 5 Dinh Dũng 5 Farhat, Charbel H. 5 Figueroa, C. Alberto 5 Glowinski, Roland 5 Grandmont, Céline 5 Hoel, Hakon A. 5 Hou, Thomas Yizhao 5 Hsu, Ming-Chen 5 Jaiman, Rajeev Kumar 5 Jin, Shi ...and 2,130 more Authors
all top 5

#### Cited in 177 Serials

 216 Journal of Computational Physics 189 Computer Methods in Applied Mechanics and Engineering 69 SIAM/ASA Journal on Uncertainty Quantification 62 SIAM Journal on Scientific Computing 46 International Journal for Numerical Methods in Engineering 38 Journal of Scientific Computing 35 Computational Mechanics 31 Computers and Fluids 28 Computers & Mathematics with Applications 27 SIAM Journal on Numerical Analysis 26 Numerische Mathematik 23 Journal of Computational and Applied Mathematics 19 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 18 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 17 International Journal for Numerical Methods in Biomedical Engineering 14 Applied Mathematical Modelling 13 Mathematics of Computation 13 Applied Mathematics and Computation 12 Applied Numerical Mathematics 12 Archives of Computational Methods in Engineering 10 International Journal of Computer Mathematics 10 Multiscale Modeling & Simulation 9 International Journal for Numerical Methods in Fluids 9 Advances in Computational Mathematics 9 Computational Geosciences 9 Comptes Rendus. Mathématique. Académie des Sciences, Paris 8 BIT 8 Journal of Complexity 7 European Journal of Mechanics. A. Solids 7 Foundations of Computational Mathematics 7 Acta Mechanica Sinica 7 Stochastic and Partial Differential Equations. Analysis and Computations 6 Numerical Methods for Partial Differential Equations 6 Mathematical Problems in Engineering 5 Journal of Mathematical Analysis and Applications 5 Mathematics and Computers in Simulation 5 Numerical Algorithms 5 Computational Methods in Applied Mathematics 5 International Journal of Computational Methods 5 Journal of Theoretical Biology 4 Journal of Engineering Mathematics 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 SIAM Journal on Control and Optimization 4 Applied Mathematics Letters 4 Applications of Mathematics 4 SIAM Review 4 Communications in Numerical Methods in Engineering 4 Journal of Mathematical Fluid Mechanics 4 European Journal of Mechanics. B. Fluids 4 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 4 Nonlinear Analysis. Real World Applications 4 Structural and Multidisciplinary Optimization 4 Acta Numerica 4 East Asian Journal on Applied Mathematics 3 Archive for Rational Mechanics and Analysis 3 International Journal of Engineering Science 3 Inverse Problems 3 Journal of Fluid Mechanics 3 Journal of Mathematical Biology 3 Mathematical Biosciences 3 Bulletin of Mathematical Biology 3 Theoretical and Computational Fluid Dynamics 3 Journal of Approximation Theory 3 Journal of Multivariate Analysis 3 Chinese Annals of Mathematics. Series B 3 Constructive Approximation 3 Numerical Linear Algebra with Applications 3 Computational and Applied Mathematics 3 Computing and Visualization in Science 3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 3 Chaos 3 Quantitative Finance 3 Boundary Value Problems 3 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 2 Mathematical Methods in the Applied Sciences 2 Wave Motion 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Automatica 2 Journal of Differential Equations 2 Operations Research 2 Statistics & Probability Letters 2 Stochastic Analysis and Applications 2 Mathematical and Computer Modelling 2 SIAM Journal on Matrix Analysis and Applications 2 Journal of Elasticity 2 Linear Algebra and its Applications 2 SIAM Journal on Applied Mathematics 2 International Journal of Computational Fluid Dynamics 2 Matematicheskoe Modelirovanie 2 Journal of Applied Mathematics and Computing 2 Milan Journal of Mathematics 2 Mathematical Biosciences and Engineering 2 Progress in Computational Fluid Dynamics 2 GEM - International Journal on Geomathematics 2 International Journal of Advances in Engineering Sciences and Applied Mathematics 2 Journal of Mathematics in Industry 2 S$$\vec{\text{e}}$$MA Journal 2 SMAI Journal of Computational Mathematics 2 Electronic Research Archive 1 International Journal of Modern Physics B ...and 77 more Serials
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#### Cited in 42 Fields

 850 Numerical analysis (65-XX) 480 Fluid mechanics (76-XX) 388 Mechanics of deformable solids (74-XX) 373 Partial differential equations (35-XX) 255 Probability theory and stochastic processes (60-XX) 221 Biology and other natural sciences (92-XX) 129 Statistics (62-XX) 62 Approximations and expansions (41-XX) 44 Calculus of variations and optimal control; optimization (49-XX) 29 Systems theory; control (93-XX) 27 Computer science (68-XX) 22 Ordinary differential equations (34-XX) 22 Optics, electromagnetic theory (78-XX) 22 Statistical mechanics, structure of matter (82-XX) 21 Geophysics (86-XX) 20 Linear and multilinear algebra; matrix theory (15-XX) 18 Operator theory (47-XX) 16 Classical thermodynamics, heat transfer (80-XX) 15 Operations research, mathematical programming (90-XX) 14 Dynamical systems and ergodic theory (37-XX) 13 Information and communication theory, circuits (94-XX) 8 Functional analysis (46-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 7 Integral equations (45-XX) 6 General and overarching topics; collections (00-XX) 6 Special functions (33-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Real functions (26-XX) 5 Global analysis, analysis on manifolds (58-XX) 5 Mechanics of particles and systems (70-XX) 3 Mathematical logic and foundations (03-XX) 3 Combinatorics (05-XX) 3 Functions of a complex variable (30-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Differential geometry (53-XX) 3 Quantum theory (81-XX) 2 Number theory (11-XX) 1 History and biography (01-XX) 1 Measure and integration (28-XX) 1 Difference and functional equations (39-XX) 1 Convex and discrete geometry (52-XX) 1 Astronomy and astrophysics (85-XX)