Articles citing this article

The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).

Cited article:

This article has been cited by the following article(s):

Encyclopedia of Computational Mechanics Second Edition

Francisco Chinesta, Antonio Huerta, Gianluigi Rozza and Karen Willcox
Encyclopedia of Computational Mechanics Second Edition 1 (2017)
DOI: 10.1002/9781119176817.ecm2110
See this article

Advances in Computational Plasticity

P. Ladevèze, Ch. Paillet and D. Néron
Computational Methods in Applied Sciences, Advances in Computational Plasticity 46 201 (2018)
DOI: 10.1007/978-3-319-60885-3_10
See this article

HT-AWGM: a hierarchical Tucker–adaptive wavelet Galerkin method for high-dimensional elliptic problems

Mazen Ali and Karsten Urban
Advances in Computational Mathematics 46 (4) (2020)
DOI: 10.1007/s10444-020-09797-9
See this article

Tensor Networks and Hierarchical Tensors for the Solution of High-Dimensional Partial Differential Equations

Markus Bachmayr, Reinhold Schneider and André Uschmajew
Foundations of Computational Mathematics 16 (6) 1423 (2016)
DOI: 10.1007/s10208-016-9317-9
See this article

Application of PGD on Parametric Modeling of a Piezoelectric Energy Harvester

Zhi Qin, Hakeim Talleb, Shuai Yan, Xiaoyu Xu and Zhuoxiang Ren
IEEE Transactions on Magnetics 52 (11) 1 (2016)
DOI: 10.1109/TMAG.2016.2591001
See this article

Calculating vibrational spectra of molecules using tensor train decomposition

Maxim Rakhuba and Ivan Oseledets
The Journal of Chemical Physics 145 (12) 124101 (2016)
DOI: 10.1063/1.4962420
See this article

Reduced-order model of optimal temperature control for the automated fibre placement process

Nicolas Bur, Pierre Joyot and Pierre Villon
Comptes Rendus Mécanique 346 (7) 556 (2018)
DOI: 10.1016/j.crme.2018.04.007
See this article

A door to model reduction in high-dimensional parameter space

Charles Paillet, David Néron and Pierre Ladevèze
Comptes Rendus Mécanique 346 (7) 524 (2018)
DOI: 10.1016/j.crme.2018.04.009
See this article

The Optimization Landscape for Fitting a Rank-2 Tensor with a Rank-1 Tensor

Xue Gong, Martin J. Mohlenkamp and Todd R. Young
SIAM Journal on Applied Dynamical Systems 17 (2) 1432 (2018)
DOI: 10.1137/17M112213X
See this article

A parametric and non-intrusive reduced order model of car crash simulation

Y. Le Guennec, J.-P. Brunet, F.-Z. Daim, M. Chau and Y. Tourbier
Computer Methods in Applied Mechanics and Engineering 338 186 (2018)
DOI: 10.1016/j.cma.2018.03.005
See this article

Adaptive Low-Rank Methods: Problems on Sobolev Spaces

Markus Bachmayr and Wolfgang Dahmen
SIAM Journal on Numerical Analysis 54 (2) 744 (2016)
DOI: 10.1137/140978223
See this article

Adaptive low-rank methods for problems on Sobolev spaces with error control in L2

M. Bachmayr and W. Dahmen
ESAIM: Mathematical Modelling and Numerical Analysis 50 (4) 1107 (2016)
DOI: 10.1051/m2an/2015071
See this article

Iterative Methods Based on Soft Thresholding of Hierarchical Tensors

Markus Bachmayr and Reinhold Schneider
Foundations of Computational Mathematics 17 (4) 1037 (2017)
DOI: 10.1007/s10208-016-9314-z
See this article

Randomized residual‐based error estimators for the proper generalized decomposition approximation of parametrized problems

Kathrin Smetana and Olivier Zahm
International Journal for Numerical Methods in Engineering 121 (23) 5153 (2020)
DOI: 10.1002/nme.6339
See this article

Least-Squares Proper Generalized Decompositions for Weakly Coercive Elliptic Problems

Thomas L. D. Croft and Timothy N. Phillips
SIAM Journal on Scientific Computing 39 (4) A1366 (2017)
DOI: 10.1137/15M1049269
See this article

On a Goal-Oriented Version of the Proper Generalized Decomposition Method

Kenan Kergrene, Ludovic Chamoin, Marc Laforest and Serge Prudhomme
Journal of Scientific Computing 81 (1) 92 (2019)
DOI: 10.1007/s10915-019-00918-1
See this article

Discretization of Linear Problems in Banach Spaces: Residual Minimization, Nonlinear Petrov--Galerkin, and Monotone Mixed Methods

Ignacio Muga and Kristoffer G. van der Zee
SIAM Journal on Numerical Analysis 58 (6) 3406 (2020)
DOI: 10.1137/20M1324338
See this article

Tensor Representation of Non-linear Models Using Cross Approximations

José V. Aguado, Domenico Borzacchiello, Kiran S. Kollepara, Francisco Chinesta and Antonio Huerta
Journal of Scientific Computing 81 (1) 22 (2019)
DOI: 10.1007/s10915-019-00917-2
See this article

Modified Iterations for Data-Sparse Solution of Linear Systems

Wolfgang Hackbusch and André Uschmajew
Vietnam Journal of Mathematics (2021)
DOI: 10.1007/s10013-021-00504-9
See this article

Data-free likelihood-informed dimension reduction of Bayesian inverse problems

Tiangang Cui and Olivier Zahm
Inverse Problems 37 (4) 045009 (2021)
DOI: 10.1088/1361-6420/abeafb
See this article