Augmented Lagrangian finite element methods for contact problems
ESAIM: M2AN, 53 1 (2019) 173-195
Published online: 2019-04-10
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):
A Nitsche-based mixed finite element method for Poisson problem with mixed and Signorini boundary conditions
Verónica Anaya, Rodolfo Araya, Yuliza Capuñay and Franz ChoulyJournal of Computational and Applied Mathematics 489 117874 (2027)
https://doi.org/10.1016/j.cam.2026.117874
A robust framework for frictional fault contact in geological formations using a stabilized augmented Lagrangian approach
Matteo Frigo, Nicola Castelletto, Matteo Cusini, Randolph Settgast and Hamdi A. TchelepiJournal of Computational Physics 561 114988 (2026)
https://doi.org/10.1016/j.jcp.2026.114988
Iterative contact-resolving hybrid methods for multiscale contact mechanics
Eric T. Chung, Hyea Hyun Kim and Xiang ZhongComputer Methods in Applied Mechanics and Engineering 453 118843 (2026)
https://doi.org/10.1016/j.cma.2026.118843
Some stability results for frictionless contact problems in elastodynamics formulated with Nitsche’s method
Franz Chouly, Hao Huang and Nicolas PignetThe SMAI Journal of computational mathematics 12 289 (2026)
https://doi.org/10.5802/smai-jcm.150
VEM-Nitsche Fully Discrete Polytopal Scheme for Frictionless Contact-Mechanics
Mohamed Laaziri and Roland MassonSIAM Journal on Numerical Analysis 63 (1) 81 (2025)
https://doi.org/10.1137/24M1660218
1 (2024)
https://doi.org/10.1002/9781394340507.ch1
Impact performance of the marine rotating machinery coupled with floating raft-airbag-limiter under heaving motion
Zhenhua Li, Ming Li and Guanghong ZhuAdvances in Mechanical Engineering 16 (11) (2024)
https://doi.org/10.1177/16878132241300201
HHT-$$\alpha $$ and TR-BDF2 schemes for dynamic contact problems
Hao Huang, Nicolas Pignet, Guillaume Drouet and Franz ChoulyComputational Mechanics 73 (5) 1165 (2024)
https://doi.org/10.1007/s00466-023-02405-9
48 129 (2023)
https://doi.org/10.1007/978-3-031-31423-0_6
Modeling of Large Sliding Between Contacting Bodies by Penalty-Based Element-Free Galerkin Method Using Node-to-Segment Approach
Aazim Shafi Lone, Showkat Ahmad Kanth, G. A. Harmain and Azher JameelIranian Journal of Science and Technology, Transactions of Mechanical Engineering 47 (4) 1985 (2023)
https://doi.org/10.1007/s40997-023-00605-5
The Augmented Lagrangian Method as a Framework for Stabilised Methods in Computational Mechanics
Erik Burman, Peter Hansbo and Mats G. LarsonArchives of Computational Methods in Engineering 30 (4) 2579 (2023)
https://doi.org/10.1007/s11831-022-09878-6
Residual a Posteriori Error Estimation for Frictional Contact with Nitsche Method
Rodolfo Araya and Franz ChoulyJournal of Scientific Computing 96 (3) (2023)
https://doi.org/10.1007/s10915-023-02300-8
A shape optimization algorithm based on directional derivatives for three‐dimensional contact problems
Bastien Chaudet‐DumasInternational Journal for Numerical Methods in Engineering 124 (13) 2935 (2023)
https://doi.org/10.1002/nme.7235
48 149 (2023)
https://doi.org/10.1007/978-3-031-31423-0_7
An accelerated method of Uzawa algorithm in contact problems
Zhenjie Huang and Xiaoliang ChengComputers & Mathematics with Applications 127 97 (2022)
https://doi.org/10.1016/j.camwa.2022.09.030
Augmented Lagrangian approach to deriving discontinuous Galerkin methods for nonlinear elasticity problems
Peter Hansbo and Mats G. LarsonInternational Journal for Numerical Methods in Engineering 123 (18) 4407 (2022)
https://doi.org/10.1002/nme.7039
Numerical Mathematics and Advanced Applications ENUMATH 2019
Erik Burman, Peter Hansbo and Mats G. LarsonLecture Notes in Computational Science and Engineering, Numerical Mathematics and Advanced Applications ENUMATH 2019 139 509 (2021)
https://doi.org/10.1007/978-3-030-55874-1_50
Contact modeling from images using cut finite element solvers
S. Claus, P. Kerfriden, F. Moshfeghifar, et al.Advanced Modeling and Simulation in Engineering Sciences 8 (1) (2021)
https://doi.org/10.1186/s40323-021-00197-2
Error analysis of the compliance model for the Signorini problem
Pierre Cantin and Patrick HildCalcolo 58 (3) (2021)
https://doi.org/10.1007/s10092-021-00425-6
A mixed-dimensional CutFEM methodology for the simulation of fibre-reinforced composites
P. Kerfriden, S. Claus and I. MihaiAdvanced Modeling and Simulation in Engineering Sciences 7 (1) (2020)
https://doi.org/10.1186/s40323-020-00154-5
Hybrid high-order discretizations combined with Nitsche’s method for Dirichlet and Signorini boundary conditions
Karol L Cascavita, Franz Chouly and Alexandre ErnIMA Journal of Numerical Analysis 40 (4) 2189 (2020)
https://doi.org/10.1093/imanum/drz038