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Author ID: nouy.anthony Recent zbMATH articles by "Nouy, Anthony"
Published as: Nouy, Anthony; Nouy, A.

Publications by Year

Citations contained in zbMATH Open

44 Publications have been cited 865 times in 475 Documents Cited by Year
A generalized spectral decomposition technique to solve a class of linear stochastic partial differential equations. Zbl 1173.80311
Nouy, Anthony
96
2007
A priori model reduction through proper generalized decomposition for solving time-dependent partial differential equations. Zbl 1231.76219
Nouy, Anthony
84
2010
Proper generalized decompositions and separated representations for the numerical solution of high dimensional stochastic problems. Zbl 1269.76079
Nouy, Anthony
69
2010
Recent developments in spectral stochastic methods for the numerical solution of stochastic partial differential equations. Zbl 1360.65036
Nouy, Anthony
65
2009
Generalized spectral decomposition method for solving stochastic finite element equations: invariant subspace problem and dedicated algorithms. Zbl 1194.74458
Nouy, Anthony
56
2008
On a multiscale computational strategy with time and space homogenization for structural mechanics. Zbl 1054.74701
Ladevèze, Pierre; Nouy, Anthony
56
2003
Generalized spectral decomposition for stochastic nonlinear problems. Zbl 1157.65009
Nouy, Anthony; Le Maître, Olivier P.
49
2009
An extended stochastic finite element method for solving stochastic partial differential equations on random domains. Zbl 1194.74457
Nouy, A.; Clément, A.; Schoefs, F.; Moës, N.
42
2008
Proper generalized decomposition for nonlinear convex problems in tensor Banach spaces. Zbl 1264.65095
Falcó, Antonio; Nouy, Anthony
32
2012
A proper generalized decomposition for the solution of elliptic problems in abstract form by using a functional Eckart-Young approach. Zbl 1210.65009
Falcó, A.; Nouy, A.
30
2011
A least-squares method for sparse low rank approximation of multivariate functions. Zbl 1327.65029
Chevreuil, M.; Lebrun, R.; Nouy, A.; Rai, P.
21
2015
A multiscale computational approach for contact problems. Zbl 1018.74036
Ladeveze, P.; Nouy, A.; Loiseau, O.
21
2002
Identification of random shapes from images through polynomial chaos expansion of random level set functions. Zbl 1171.74449
Stefanou, G.; Nouy, A.; Clement, A.
20
2009
Model order reduction based on proper generalized decomposition for the propagation of uncertainties in structural dynamics. Zbl 1242.74028
Chevreuil, Mathilde; Nouy, Anthony
19
2012
To be or not to be intrusive? The solution of parametric and stochastic equations – the “plain vanilla” Galerkin case. Zbl 1310.65132
Giraldi, Loïc; Litvinenko, Alexander; Liu, Dishi; Matthies, Hermann G.; Nouy, Anthony
19
2014
eXtended stochastic finite element method for the numerical simulation of heterogeneous materials with random material interfaces. Zbl 1202.74182
Nouy, A.; Clément, A.
18
2010
A multiscale method with patch for the solution of stochastic partial differential equations with localized uncertainties. Zbl 1297.65192
Chevreuil, M.; Nouy, A.; Safatly, E.
17
2013
A tensor approximation method based on ideal minimal residual formulations for the solution of high-dimensional problems. Zbl 1305.65011
Billaud-Friess, M.; Nouy, A.; Zahm, O.
16
2014
X-SFEM, a computational technique based on X-FEM to deal with random shapes. Zbl 1208.74184
Nouy, Anthony; Schoefs, Franck; Moës, Nicolas
16
2007
Random field representations for stochastic elliptic boundary value problems and statistical inverse problems. Zbl 1298.60056
Nouy, A.; Soize, C.
15
2014
Model reduction based on proper generalized decomposition for the stochastic steady incompressible Navier-Stokes equations. Zbl 1302.76149
Tamellini, L.; Le Maître, O.; Nouy, A.
15
2014
Interpolation of inverse operators for preconditioning parameter-dependent equations. Zbl 1382.65035
Zahm, Olivier; Nouy, Anthony
11
2016
Fictitious domain method and separated representations for the solution of boundary value problems on uncertain parameterized domains. Zbl 1230.65135
Nouy, A.; Chevreuil, M.; Safatly, E.
10
2011
On the Dirac-Frenkel variational principle on tensor Banach spaces. Zbl 1427.46013
Falcó, Antonio; Hackbusch, Wolfgang; Nouy, Anthony
7
2019
To be or not to be intrusive? The solution of parametric and stochastic equations – proper generalized decomposition. Zbl 1315.65056
Giraldi, Loïc; Liu, Dishi; Matthies, Hermann G.; Nouy, Anthony
6
2015
Ideal minimal residual-based proper generalized decomposition for non-symmetric multi-field models – application to transient elastodynamics in space-time domain. Zbl 1296.74139
Boucinha, L.; Ammar, A.; Gravouil, A.; Nouy, A.
6
2014
Tensor-based methods for numerical homogenization from high-resolution images. Zbl 1297.65138
Giraldi, L.; Nouy, A.; Legrain, G.; Cartraud, P.
6
2013
Low-rank approximate inverse for preconditioning tensor-structured linear systems. Zbl 1307.65033
Giraldi, L.; Nouy, A.; Legrain, G.
5
2014
Randomized linear algebra for model reduction. I. Galerkin methods and error estimation. Zbl 1464.65169
Balabanov, Oleg; Nouy, Anthony
5
2019
A multiscale computational method with time and space homogenization. (Une stratégie de calcul multiéchelle avec homogénéisation en espace et en temps.) Zbl 1177.74316
Ladeveze, Pierre; Nouy, Anthony
5
2002
Dynamical model reduction method for solving parameter-dependent dynamical systems. Zbl 1373.65091
Billaud-Friess, Marie; Nouy, Anthony
4
2017
Higher-order principal component analysis for the approximation of tensors in tree-based low-rank formats. Zbl 1455.65031
Nouy, Anthony
4
2019
Identification of multi-modal random variables through mixtures of polynomial chaos expansions. Zbl 1221.62162
Nouy, Anthony
3
2010
A multiscale method for semi-linear elliptic equations with localized uncertainties and non-linearities. Zbl 1479.35971
Nouy, Anthony; Pled, Florent
3
2018
Low-rank approximation of linear parabolic equations by space-time tensor Galerkin methods. Zbl 1422.65250
Boiveau, Thomas; Ehrlacher, Virginie; Ern, Alexandre; Nouy, Anthony
2
2019
Randomized linear algebra for model reduction. II: Minimal residual methods and dictionary-based approximation. Zbl 1465.65036
Balabanov, Oleg; Nouy, Anthony
2
2021
Singular value decomposition in Sobolev spaces. I. Zbl 1461.46025
Ali, Mazen; Nouy, Anthony
2
2020
Boosted optimal weighted least-squares. Zbl 07506851
Haberstich, Cécile; Nouy, Anthony; Perrin, Guillaume
2
2022
Stochastic methods for solving high-dimensional partial differential equations. Zbl 07240092
Billaud-Friess, Marie; Macherey, Arthur; Nouy, Anthony; Prieur, Clémentine
1
2020
Projection-based model order reduction methods for the estimation of vector-valued variables of interest. Zbl 1372.65314
Zahm, Olivier; Billaud-Friess, Marie; Nouy, Anthony
1
2017
Tree-based tensor formats. Zbl 1479.15026
Falcó, Antonio; Hackbusch, Wolfgang; Nouy, Anthony
1
2021
Tensor-based multiscale method for diffusion problems in quasi-periodic heterogeneous media. Zbl 1407.65279
Ayoul-Guilmard, Quentin; Nouy, Anthony; Binetruy, Christophe
1
2018
Approximation of smoothness classes by deep rectifier networks. Zbl 1494.41008
Ali, Mazen; Nouy, Anthony
1
2021
Learning with tree tensor networks: complexity estimates and model selection. Zbl 07526570
Michel, Bertrand; Nouy, Anthony
1
2022
Boosted optimal weighted least-squares. Zbl 07506851
Haberstich, Cécile; Nouy, Anthony; Perrin, Guillaume
2
2022
Learning with tree tensor networks: complexity estimates and model selection. Zbl 07526570
Michel, Bertrand; Nouy, Anthony
1
2022
Randomized linear algebra for model reduction. II: Minimal residual methods and dictionary-based approximation. Zbl 1465.65036
Balabanov, Oleg; Nouy, Anthony
2
2021
Tree-based tensor formats. Zbl 1479.15026
Falcó, Antonio; Hackbusch, Wolfgang; Nouy, Anthony
1
2021
Approximation of smoothness classes by deep rectifier networks. Zbl 1494.41008
Ali, Mazen; Nouy, Anthony
1
2021
Singular value decomposition in Sobolev spaces. I. Zbl 1461.46025
Ali, Mazen; Nouy, Anthony
2
2020
Stochastic methods for solving high-dimensional partial differential equations. Zbl 07240092
Billaud-Friess, Marie; Macherey, Arthur; Nouy, Anthony; Prieur, Clémentine
1
2020
On the Dirac-Frenkel variational principle on tensor Banach spaces. Zbl 1427.46013
Falcó, Antonio; Hackbusch, Wolfgang; Nouy, Anthony
7
2019
Randomized linear algebra for model reduction. I. Galerkin methods and error estimation. Zbl 1464.65169
Balabanov, Oleg; Nouy, Anthony
5
2019
Higher-order principal component analysis for the approximation of tensors in tree-based low-rank formats. Zbl 1455.65031
Nouy, Anthony
4
2019
Low-rank approximation of linear parabolic equations by space-time tensor Galerkin methods. Zbl 1422.65250
Boiveau, Thomas; Ehrlacher, Virginie; Ern, Alexandre; Nouy, Anthony
2
2019
A multiscale method for semi-linear elliptic equations with localized uncertainties and non-linearities. Zbl 1479.35971
Nouy, Anthony; Pled, Florent
3
2018
Tensor-based multiscale method for diffusion problems in quasi-periodic heterogeneous media. Zbl 1407.65279
Ayoul-Guilmard, Quentin; Nouy, Anthony; Binetruy, Christophe
1
2018
Dynamical model reduction method for solving parameter-dependent dynamical systems. Zbl 1373.65091
Billaud-Friess, Marie; Nouy, Anthony
4
2017
Projection-based model order reduction methods for the estimation of vector-valued variables of interest. Zbl 1372.65314
Zahm, Olivier; Billaud-Friess, Marie; Nouy, Anthony
1
2017
Interpolation of inverse operators for preconditioning parameter-dependent equations. Zbl 1382.65035
Zahm, Olivier; Nouy, Anthony
11
2016
A least-squares method for sparse low rank approximation of multivariate functions. Zbl 1327.65029
Chevreuil, M.; Lebrun, R.; Nouy, A.; Rai, P.
21
2015
To be or not to be intrusive? The solution of parametric and stochastic equations – proper generalized decomposition. Zbl 1315.65056
Giraldi, Loïc; Liu, Dishi; Matthies, Hermann G.; Nouy, Anthony
6
2015
To be or not to be intrusive? The solution of parametric and stochastic equations – the “plain vanilla” Galerkin case. Zbl 1310.65132
Giraldi, Loïc; Litvinenko, Alexander; Liu, Dishi; Matthies, Hermann G.; Nouy, Anthony
19
2014
A tensor approximation method based on ideal minimal residual formulations for the solution of high-dimensional problems. Zbl 1305.65011
Billaud-Friess, M.; Nouy, A.; Zahm, O.
16
2014
Random field representations for stochastic elliptic boundary value problems and statistical inverse problems. Zbl 1298.60056
Nouy, A.; Soize, C.
15
2014
Model reduction based on proper generalized decomposition for the stochastic steady incompressible Navier-Stokes equations. Zbl 1302.76149
Tamellini, L.; Le Maître, O.; Nouy, A.
15
2014
Ideal minimal residual-based proper generalized decomposition for non-symmetric multi-field models – application to transient elastodynamics in space-time domain. Zbl 1296.74139
Boucinha, L.; Ammar, A.; Gravouil, A.; Nouy, A.
6
2014
Low-rank approximate inverse for preconditioning tensor-structured linear systems. Zbl 1307.65033
Giraldi, L.; Nouy, A.; Legrain, G.
5
2014
A multiscale method with patch for the solution of stochastic partial differential equations with localized uncertainties. Zbl 1297.65192
Chevreuil, M.; Nouy, A.; Safatly, E.
17
2013
Tensor-based methods for numerical homogenization from high-resolution images. Zbl 1297.65138
Giraldi, L.; Nouy, A.; Legrain, G.; Cartraud, P.
6
2013
Proper generalized decomposition for nonlinear convex problems in tensor Banach spaces. Zbl 1264.65095
Falcó, Antonio; Nouy, Anthony
32
2012
Model order reduction based on proper generalized decomposition for the propagation of uncertainties in structural dynamics. Zbl 1242.74028
Chevreuil, Mathilde; Nouy, Anthony
19
2012
A proper generalized decomposition for the solution of elliptic problems in abstract form by using a functional Eckart-Young approach. Zbl 1210.65009
Falcó, A.; Nouy, A.
30
2011
Fictitious domain method and separated representations for the solution of boundary value problems on uncertain parameterized domains. Zbl 1230.65135
Nouy, A.; Chevreuil, M.; Safatly, E.
10
2011
A priori model reduction through proper generalized decomposition for solving time-dependent partial differential equations. Zbl 1231.76219
Nouy, Anthony
84
2010
Proper generalized decompositions and separated representations for the numerical solution of high dimensional stochastic problems. Zbl 1269.76079
Nouy, Anthony
69
2010
eXtended stochastic finite element method for the numerical simulation of heterogeneous materials with random material interfaces. Zbl 1202.74182
Nouy, A.; Clément, A.
18
2010
Identification of multi-modal random variables through mixtures of polynomial chaos expansions. Zbl 1221.62162
Nouy, Anthony
3
2010
Recent developments in spectral stochastic methods for the numerical solution of stochastic partial differential equations. Zbl 1360.65036
Nouy, Anthony
65
2009
Generalized spectral decomposition for stochastic nonlinear problems. Zbl 1157.65009
Nouy, Anthony; Le Maître, Olivier P.
49
2009
Identification of random shapes from images through polynomial chaos expansion of random level set functions. Zbl 1171.74449
Stefanou, G.; Nouy, A.; Clement, A.
20
2009
Generalized spectral decomposition method for solving stochastic finite element equations: invariant subspace problem and dedicated algorithms. Zbl 1194.74458
Nouy, Anthony
56
2008
An extended stochastic finite element method for solving stochastic partial differential equations on random domains. Zbl 1194.74457
Nouy, A.; Clément, A.; Schoefs, F.; Moës, N.
42
2008
A generalized spectral decomposition technique to solve a class of linear stochastic partial differential equations. Zbl 1173.80311
Nouy, Anthony
96
2007
X-SFEM, a computational technique based on X-FEM to deal with random shapes. Zbl 1208.74184
Nouy, Anthony; Schoefs, Franck; Moës, Nicolas
16
2007
On a multiscale computational strategy with time and space homogenization for structural mechanics. Zbl 1054.74701
Ladevèze, Pierre; Nouy, Anthony
56
2003
A multiscale computational approach for contact problems. Zbl 1018.74036
Ladeveze, P.; Nouy, A.; Loiseau, O.
21
2002
A multiscale computational method with time and space homogenization. (Une stratégie de calcul multiéchelle avec homogénéisation en espace et en temps.) Zbl 1177.74316
Ladeveze, Pierre; Nouy, Anthony
5
2002
all top 5

Cited by 769 Authors

36 Nouy, Anthony
26 Chinesta, Francisco
17 Néron, David
17 Soize, Christian
15 Ladevèze, Pierre
11 Ammar, Amine
11 Cueto, Elias
11 Doostan, Alireza
11 Matthies, Hermann Georg
10 Allix, Olivier
10 Gosselet, Pierre
10 Passieux, Jean-Charles
9 Chamoin, Ludovic
9 Dureisseix, David
9 Falcó, Antonio
9 Huerta, Antonio
9 Kerfriden, Pierre
8 Bordas, Stéphane Pierre Alain
8 Hackbusch, Wolfgang
8 Jiang, Lijian
7 Bachmayr, Markus
7 Boucard, Pierre-Alain
7 Pivovarov, Dmytro
7 Steinmann, Paul
7 Venturi, Daniele
6 Lelièvre, Tony
6 Leygue, Adrien
6 Litvinenko, Alexander
6 Nair, Prasanth B.
6 Quarteroni, Alfio M.
6 Rey, Christian A.
5 Aguado, Jose Vicente
5 Alart, Pierre
5 Audouze, Christophe
5 Bouclier, Robin
5 Chevreuil, Mathilde
5 Dolgov, Sergey V.
5 Ehrlacher, Virginie
5 Guidault, Pierre-Alain
5 Le Maître, Olivier P.
5 Li, Qiuqi
5 Smetana, Kathrin
5 Willner, Kai
4 Adhikari, Sondipon
4 Allery, Cyrille
4 Beringhier, Marianne
4 Bordeu, Felipe
4 Cartraud, Patrice
4 Chen, Peng
4 Dahmen, Wolfgang A.
4 Díez, Pedro
4 Doblaré, Manuel
4 Elman, Howard C.
4 Ghanem, Roger G.
4 Gravouil, Anthony
4 Karniadakis, George Em
4 Le Bris, Claude
4 Maday, Yvon
4 Manzoni, Andrea
4 Mycek, Paul
4 Nobile, Fabio
4 Rozza, Gianluigi
4 Ryckelynck, David
4 Salaun, Michel
4 Sang, Caili
4 Schneider, Reinhold
4 Sudret, Bruno
4 Uschmajew, André
4 Zahm, Olivier
3 Abisset-Chavanne, Emmanuelle
3 Babuška, Ivo
3 Balabanov, Oleg
3 Beer, Michael A.
3 Benner, Peter
3 Binétruy, Christophe
3 Boyaval, Sébastien
3 Cancès, Eric
3 Champaney, Laurent
3 Chen, Zhen
3 El Halabi, F.
3 Friess, Marie Billaud
3 Friswell, Michael Ian
3 Giraldi, Loïc
3 Grandidier, Jean-Claude
3 Guinard, Stéphane
3 Ibrahimbegović, Adnan
3 Kressner, Daniel
3 Kundu, Abhishek
3 Lacor, Chris
3 Lee, Kookjin
3 Legrain, Gregory
3 Lin, Guang
3 Liu, Dishi
3 Louf, François
3 Nackenhorst, Udo
3 Patera, Anthony T.
3 Perrin, Guillaume
3 Poëtte, Gaël
3 Rosić, Bojana V.
3 Schwab, Christoph
...and 669 more Authors
all top 5

Cited in 104 Serials

115 Computer Methods in Applied Mechanics and Engineering
46 Journal of Computational Physics
39 International Journal for Numerical Methods in Engineering
36 Computational Mechanics
23 SIAM Journal on Scientific Computing
21 SIAM/ASA Journal on Uncertainty Quantification
16 Archives of Computational Methods in Engineering
9 Journal of Computational and Applied Mathematics
8 Journal of Scientific Computing
8 Advances in Computational Mathematics
6 Foundations of Computational Mathematics
5 Computers and Fluids
5 SIAM Journal on Numerical Analysis
5 European Journal of Mechanics. A. Solids
5 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
4 Computers & Mathematics with Applications
4 Applied Mathematics and Computation
4 Numerische Mathematik
4 Acta Applicandae Mathematicae
3 BIT
3 Constructive Approximation
3 Applied Mathematical Modelling
3 International Journal of Computational Methods
3 S\(\vec{\text{e}}\)MA Journal
2 Physica D
2 Applied Numerical Mathematics
2 SIAM Journal on Matrix Analysis and Applications
2 Celestial Mechanics and Dynamical Astronomy
2 Archive of Applied Mechanics
2 Computational Optimization and Applications
2 Engineering Analysis with Boundary Elements
2 Vietnam Journal of Mathematics
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Multiscale Modeling & Simulation
2 Acta Numerica
2 Journal of Industrial and Management Optimization
2 GEM - International Journal on Geomathematics
1 Applicable Analysis
1 International Journal of Heat and Mass Transfer
1 International Journal for Numerical and Analytical Methods in Geomechanics
1 Inverse Problems
1 Journal of Fluid Mechanics
1 Journal of Mathematical Analysis and Applications
1 Journal of the Mechanics and Physics of Solids
1 Nonlinearity
1 Physics Reports
1 Mathematics of Computation
1 Journal of the American Statistical Association
1 Journal of Optimization Theory and Applications
1 Mathematics and Computers in Simulation
1 Meccanica
1 Zeitschrift für Analysis und ihre Anwendungen
1 Statistics & Probability Letters
1 Bulletin of the Iranian Mathematical Society
1 Finite Elements in Analysis and Design
1 Journal of Complexity
1 Numerical Methods for Partial Differential Equations
1 European Journal of Applied Mathematics
1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
1 Numerical Algorithms
1 Computational Statistics
1 Journal of Elasticity
1 Journal of Non-Newtonian Fluid Mechanics
1 Linear Algebra and its Applications
1 SIAM Journal on Mathematical Analysis
1 SIAM Review
1 Journal of Mathematical Imaging and Vision
1 Advances in Engineering Software
1 Theory of Probability and Mathematical Statistics
1 Applied and Computational Harmonic Analysis
1 Numerical Linear Algebra with Applications
1 International Journal of Computer Vision
1 Computational and Applied Mathematics
1 International Journal of Numerical Methods for Heat & Fluid Flow
1 Bernoulli
1 Computing and Visualization in Science
1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings
1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Engineering Computations
1 Methodology and Computing in Applied Probability
1 Computational Methods in Applied Mathematics
1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
1 Sādhanā
1 Milan Journal of Mathematics
1 SIAM Journal on Applied Dynamical Systems
1 Structural and Multidisciplinary Optimization
1 Journal of Computational Acoustics
1 International Journal of Fracture
1 Stochastics
1 Inverse Problems in Science and Engineering
1 GAMM-Mitteilungen
1 Discrete and Continuous Dynamical Systems. Series S
1 Differential Equations and Applications
1 Advances in Mathematical Physics
1 Science China. Mathematics
1 Journal of Agricultural, Biological, and Environmental Statistics
1 The Journal of Mathematical Neuroscience
1 Communications in Applied and Industrial Mathematics
1 ISRN Applied Mathematics
1 Stochastic and Partial Differential Equations. Analysis and Computations
...and 4 more Serials

Citations by Year