EDP Sciences logo
Subscriber Authentication Point
Search
Menu
All issues ESAIM: M2AN, 44 3 (2010) 401-420 Article references

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:

Exponentially Convergent Multiscale Finite Element Method

Yifan Chen, Thomas Y. Hou and Yixuan Wang
Communications on Applied Mathematics and Computation 6 (2) 862 (2024)
https://doi.org/10.1007/s42967-023-00260-2

Component Mode Synthesis Based on the Energy Method for Frequency Domain Dynamic Response Analysis of Ballastless Track Structure

Zhou Yang, Qingsong Feng, Gong Cheng and Ling Zhang
International Journal of Structural Stability and Dynamics 24 (13) (2024)
https://doi.org/10.1142/S0219455424501438

An artificial spring component mode synthesis method for built-up structures

Jie Deng, Oriol Guasch, Laurent Maxit and Nansha Gao
International Journal of Mechanical Sciences 243 108052 (2023)
https://doi.org/10.1016/j.ijmecsci.2022.108052

Exponentially Convergent Multiscale Methods for 2D High Frequency Heterogeneous Helmholtz Equations

Yifan Chen, Thomas Y. Hou and Yixuan Wang
Multiscale Modeling & Simulation 21 (3) 849 (2023)
https://doi.org/10.1137/22M1507802

An MsFEM Approach Enriched Using Legendre Polynomials

Frédéric Legoll, Pierre-Loïk Rothé, Claude Le Bris and Ulrich Hetmaniuk
Multiscale Modeling & Simulation 20 (2) 798 (2022)
https://doi.org/10.1137/21M1444151

Improved Deep Neural Networks with Domain Decomposition in Solving Partial Differential Equations

Wei Wu, Xinlong Feng and Hui Xu
Journal of Scientific Computing 93 (1) (2022)
https://doi.org/10.1007/s10915-022-01980-y

Multiscale Finite Element Methods for an Elliptic Optimal Control Problem with Rough Coefficients

Susanne C. Brenner, José C. Garay and Li-Yeng Sung
Journal of Scientific Computing 91 (3) (2022)
https://doi.org/10.1007/s10915-022-01834-7

A two-level parameterized Model-Order Reduction approach for time-domain elastodynamics

Mohamed Aziz Bhouri and Anthony T. Patera
Computer Methods in Applied Mechanics and Engineering 385 114004 (2021)
https://doi.org/10.1016/j.cma.2021.114004

Hybrid Localized Spectral Decomposition for Multiscale Problems

Alexandre L. Madureira and Marcus Sarkis
SIAM Journal on Numerical Analysis 59 (2) 829 (2021)
https://doi.org/10.1137/20M1314896

IUTAM Symposium on Model Order Reduction of Coupled Systems, Stuttgart, Germany, May 22–25, 2018

Kathrin Smetana
IUTAM Bookseries, IUTAM Symposium on Model Order Reduction of Coupled Systems, Stuttgart, Germany, May 22–25, 2018 36 1 (2020)
https://doi.org/10.1007/978-3-030-21013-7_1

Multiscale modal analysis of fully-loaded spent nuclear fuel canisters

Olivier Ezvan, Xiaoshu Zeng, Roger Ghanem and Bora Gencturk
Computer Methods in Applied Mechanics and Engineering 367 113072 (2020)
https://doi.org/10.1016/j.cma.2020.113072

Model order reduction for large-scale structures with local nonlinearities

Zhenying Zhang, Mengwu Guo and Jan S. Hesthaven
Computer Methods in Applied Mechanics and Engineering 353 491 (2019)
https://doi.org/10.1016/j.cma.2019.04.042

The multiscale finite element method for nonlinear continuum localization problems at full fine-scale fidelity, illustrated through phase-field fracture and plasticity

Lam H. Nguyen and Dominik Schillinger
Journal of Computational Physics 396 129 (2019)
https://doi.org/10.1016/j.jcp.2019.06.058

Adaptive GDSW Coarse Spaces for Overlapping Schwarz Methods in Three Dimensions

Alexander Heinlein, Axel Klawonn, Jascha Knepper and Oliver Rheinbach
SIAM Journal on Scientific Computing 41 (5) A3045 (2019)
https://doi.org/10.1137/18M1220613

Numerical Mathematics and Advanced Applications ENUMATH 2017

Jonas Ballani, Phuong Huynh, David Knezevic, Loi Nguyen and Anthony T. Patera
Lecture Notes in Computational Science and Engineering, Numerical Mathematics and Advanced Applications ENUMATH 2017 126 3 (2019)
https://doi.org/10.1007/978-3-319-96415-7_1

A component-based hybrid reduced basis/finite element method for solid mechanics with local nonlinearities

J. Ballani, D.B.P. Huynh, D.J. Knezevic, L. Nguyen and A.T. Patera
Computer Methods in Applied Mechanics and Engineering 329 498 (2018)
https://doi.org/10.1016/j.cma.2017.09.014

Domain Decomposition Methods in Science and Engineering XXIV

Alexander Heinlein, Axel Klawonn, Jascha Knepper and Oliver Rheinbach
Lecture Notes in Computational Science and Engineering, Domain Decomposition Methods in Science and Engineering XXIV 125 373 (2018)
https://doi.org/10.1007/978-3-319-93873-8_35

Nonlocal and Mixed-Locality Multiscale Finite Element Methods

Timothy B. Costa, Stephen D. Bond and David J. Littlewood
Multiscale Modeling & Simulation 16 (1) 503 (2018)
https://doi.org/10.1137/16M1090351

ArbiLoMod, a Simulation Technique Designed for Arbitrary Local Modifications

Andreas Buhr, Christian Engwer, Mario Ohlberger and Stephan Rave
SIAM Journal on Scientific Computing 39 (4) A1435 (2017)
https://doi.org/10.1137/15M1054213

Optimal Local Approximation Spaces for Component-Based Static Condensation Procedures

Kathrin Smetana and Anthony T. Patera
SIAM Journal on Scientific Computing 38 (5) A3318 (2016)
https://doi.org/10.1137/15M1009603

A multiscale method for linear elasticity reducing Poisson locking

Patrick Henning and Anna Persson
Computer Methods in Applied Mechanics and Engineering 310 156 (2016)
https://doi.org/10.1016/j.cma.2016.06.034

A new certification framework for the port reduced static condensation reduced basis element method

Kathrin Smetana
Computer Methods in Applied Mechanics and Engineering 283 352 (2015)
https://doi.org/10.1016/j.cma.2014.09.020

Component-based reduced basis for parametrized symmetric eigenproblems

Sylvain Vallaghé, Phuong Huynh, David J Knezevic, Loi Nguyen and Anthony T Patera
Advanced Modeling and Simulation in Engineering Sciences 2 (1) (2015)
https://doi.org/10.1186/s40323-015-0021-0

The approximate component mode synthesis special finite element method in two dimensions: Parallel implementation and numerical results

A. Heinlein, U. Hetmaniuk, A. Klawonn and O. Rheinbach
Journal of Computational and Applied Mathematics 289 116 (2015)
https://doi.org/10.1016/j.cam.2015.02.053

A port-reduced static condensation reduced basis element method for large component-synthesized structures: approximation and A Posteriori error estimation

Jens L Eftang and Anthony T Patera
Advanced Modeling and Simulation in Engineering Sciences 1 (1) 3 (2014)
https://doi.org/10.1186/2213-7467-1-3

Ensemble level multiscale finite element and preconditioner for channelized systems and applications

Juan Galvis and Jia Wei
Journal of Computational and Applied Mathematics 255 456 (2014)
https://doi.org/10.1016/j.cam.2013.06.007

Port reduction in parametrized component static condensation: approximation and a posteriori error estimation

Jens L. Eftang and Anthony T. Patera
International Journal for Numerical Methods in Engineering 96 (5) 269 (2013)
https://doi.org/10.1002/nme.4543

A Static condensation Reduced Basis Element method : approximation anda posteriorierror estimation

Dinh Bao Phuong Huynh, David J. Knezevic and Anthony T. Patera
ESAIM: Mathematical Modelling and Numerical Analysis 47 (1) 213 (2013)
https://doi.org/10.1051/m2an/2012022

A static condensation reduced basis element method: Complex problems

D.B.P. Huynh, D.J. Knezevic and A.T. Patera
Computer Methods in Applied Mechanics and Engineering 259 197 (2013)
https://doi.org/10.1016/j.cma.2013.02.013

Homogenization-Based Mixed Multiscale Finite Elements for Problems with Anisotropy

Todd Arbogast
Multiscale Modeling & Simulation 9 (2) 624 (2011)
https://doi.org/10.1137/100788677

Domain Decomposition Preconditioners for Multiscale Flows in High Contrast Media: Reduced Dimension Coarse Spaces

Juan Galvis and Yalchin Efendiev
Multiscale Modeling & Simulation 8 (5) 1621 (2010)
https://doi.org/10.1137/100790112