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:

Stable and Efficient Petrov--Galerkin Methods for a Kinetic Fokker--Planck Equation

Julia Brunken and Kathrin Smetana
SIAM Journal on Numerical Analysis 60 (1) 157 (2022)
https://doi.org/10.1137/20M1374857

PGD reduced-order modeling for structural dynamics applications

Clément Vella and Serge Prudhomme
Computer Methods in Applied Mechanics and Engineering 402 115736 (2022)
https://doi.org/10.1016/j.cma.2022.115736

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)
https://doi.org/10.1002/nme.6339

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)
https://doi.org/10.1007/s10444-020-09797-9

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)
https://doi.org/10.1137/20M1324338

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)
https://doi.org/10.1007/s10915-019-00918-1

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)
https://doi.org/10.1007/s10915-019-00917-2

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)
https://doi.org/10.1016/j.crme.2018.04.007

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)
https://doi.org/10.1137/17M112213X

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)
https://doi.org/10.1016/j.cma.2018.03.005

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)
https://doi.org/10.1137/15M1049269

Iterative Methods Based on Soft Thresholding of Hierarchical Tensors

Markus Bachmayr and Reinhold Schneider
Foundations of Computational Mathematics 17 (4) 1037 (2017)
https://doi.org/10.1007/s10208-016-9314-z

Calculating vibrational spectra of molecules using tensor train decomposition

Maxim Rakhuba and Ivan Oseledets
The Journal of Chemical Physics 145 (12) (2016)
https://doi.org/10.1063/1.4962420

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)
https://doi.org/10.1109/TMAG.2016.2591001

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)
https://doi.org/10.1051/m2an/2015071

Adaptive Low-Rank Methods: Problems on Sobolev Spaces

Markus Bachmayr and Wolfgang Dahmen
SIAM Journal on Numerical Analysis 54 (2) 744 (2016)
https://doi.org/10.1137/140978223

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)
https://doi.org/10.1007/s10208-016-9317-9