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:

On the Nature of the Boundary Resonance Error in Numerical Homogenization and Its Reduction

Sean P. Carney, Milica Dussinger and Björn Engquist
Multiscale Modeling & Simulation 22 (2) 811 (2024)
https://doi.org/10.1137/23M1594492

A homogenization method for nonlinear inhomogeneous elastic materials

Jing Zhao, Fei Zhu, Liyou Xu, Yong Tang and Sheng Li
Virtual Reality & Intelligent Hardware 3 (2) 156 (2021)
https://doi.org/10.1016/j.vrih.2021.01.002

A Hybrid High-Order Method for Highly Oscillatory Elliptic Problems

Matteo Cicuttin, Alexandre Ern and Simon Lemaire
Computational Methods in Applied Mathematics 19 (4) 723 (2019)
https://doi.org/10.1515/cmam-2018-0013

Estimates for the Upscaling Error in Heterogeneous Multiscale Methods for Wave Propagation Problems in Locally Periodic Media

Doghonay Arjmand and Olof Runborg
Multiscale Modeling & Simulation 15 (2) 948 (2017)
https://doi.org/10.1137/16M1074436

Reduction in the Resonance Error in Numerical Homogenization II: Correctors and Extrapolation

Antoine Gloria and Zakaria Habibi
Foundations of Computational Mathematics 16 (1) 217 (2016)
https://doi.org/10.1007/s10208-015-9246-z

Error control and adaptivity for heterogeneous multiscale approximations of nonlinear monotone problems

Patrick Henning and Mario Ohlberger
Discrete & Continuous Dynamical Systems - S 8 (1) 119 (2015)
https://doi.org/10.3934/dcdss.2015.8.119

Expository Paper: A primer on homogenization of elliptic PDEs with stationary and ergodic random coefficient functions

Alen Alexanderian
Rocky Mountain Journal of Mathematics 45 (3) (2015)
https://doi.org/10.1216/RMJ-2015-45-3-703

An embedded corrector problem to approximate the homogenized coefficients of an elliptic equation

Éric Cancès, Virginie Ehrlacher, Frédéric Legoll and Benjamin Stamm
Comptes Rendus. Mathématique 353 (9) 801 (2015)
https://doi.org/10.1016/j.crma.2015.06.019

An Adaptive Multiscale Finite Element Method

Patrick Henning, Mario Ohlberger and Ben Schweizer
Multiscale Modeling & Simulation 12 (3) 1078 (2014)
https://doi.org/10.1137/120886856

Macroscopically consistent non-local modeling of heterogeneous media

François Bignonnet, Karam Sab, Luc Dormieux, Sébastien Brisard and Antoine Bisson
Computer Methods in Applied Mechanics and Engineering 278 218 (2014)
https://doi.org/10.1016/j.cma.2014.05.014