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:

Duality-Based Error Control for the Signorini Problem

Ben S. Ashby and Tristan Pryer
SIAM Journal on Numerical Analysis 62 (4) 1687 (2024)
https://doi.org/10.1137/22M1534791

Adaptive Quadratic Finite Element Method for the Unilateral Contact Problem

Rohit Khandelwal, Kamana Porwal and Tanvi Wadhawan
Journal of Scientific Computing 96 (1) (2023)
https://doi.org/10.1007/s10915-023-02206-5

Pointwise A Posteriori Error Control of Discontinuous Galerkin Methods for Unilateral Contact Problems

Rohit Khandelwal and Kamana Porwal
Computational Methods in Applied Mathematics 23 (1) 189 (2023)
https://doi.org/10.1515/cmam-2021-0194

On $ P_1 $ nonconforming finite element aproximation for the Signorini problem

Mingxia Li, Dongying Hua and Hairong Lian
Electronic Research Archive 29 (2) 2029 (2021)
https://doi.org/10.3934/era.2020103

Hybrid high-order discretizations combined with Nitsche’s method for Dirichlet and Signorini boundary conditions

Karol L Cascavita, Franz Chouly and Alexandre Ern
IMA Journal of Numerical Analysis 40 (4) 2189 (2020)
https://doi.org/10.1093/imanum/drz038

Finite element error estimates in non-energy norms for the two-dimensional scalar Signorini problem

Constantin Christof and Christof Haubner
Numerische Mathematik 145 (3) 513 (2020)
https://doi.org/10.1007/s00211-020-01117-z

The Penalty-Free Nitsche Method and Nonconforming Finite Elements for the Signorini Problem

Erik Burman, Peter Hansbo and Mats G. Larson
SIAM Journal on Numerical Analysis 55 (6) 2523 (2017)
https://doi.org/10.1137/16M107846X

Convergence analysis of a modified weak Galerkin finite element method for Signorini and obstacle problems

Yuping Zeng, Jinru Chen and Feng Wang
Numerical Methods for Partial Differential Equations 33 (5) 1459 (2017)
https://doi.org/10.1002/num.22147

Geometrically Unfitted Finite Element Methods and Applications

Franz Chouly, Mathieu Fabre, Patrick Hild, et al.
Lecture Notes in Computational Science and Engineering, Geometrically Unfitted Finite Element Methods and Applications 121 93 (2017)
https://doi.org/10.1007/978-3-319-71431-8_4

Trace and fluxa priorierror estimates in finite-element approximations of Signorni-type problems

Olaf Steinbach, Barbara Wohlmuth and Linus Wunderlich
IMA Journal of Numerical Analysis 36 (3) 1072 (2016)
https://doi.org/10.1093/imanum/drv039

Optimal Convergence for Discrete Variational Inequalities Modelling Signorini Contact in 2D and 3D without Additional Assumptions on the Unknown Contact Set

Guillaume Drouet and Patrick Hild
SIAM Journal on Numerical Analysis 53 (3) 1488 (2015)
https://doi.org/10.1137/140980697

Error estimates of the weakly over-penalized symmetric interior penalty method for two variational inequalities

Yuping Zeng, Jinru Chen and Feng Wang
Computers & Mathematics with Applications 69 (8) 760 (2015)
https://doi.org/10.1016/j.camwa.2015.02.022

A Nitsche-Based Method for Unilateral Contact Problems: Numerical Analysis

Franz Chouly and Patrick Hild
SIAM Journal on Numerical Analysis 51 (2) 1295 (2013)
https://doi.org/10.1137/12088344X

An Improved a Priori Error Analysis for Finite Element Approximations of Signorini's Problem

Patrick Hild and Yves Renard
SIAM Journal on Numerical Analysis 50 (5) 2400 (2012)
https://doi.org/10.1137/110857593

Convergence and superconvergence analysis of a nonconforming finite element method for solving the Signorini problem

Dongyang Shi, Jincheng Ren and Wei Gong
Nonlinear Analysis: Theory, Methods & Applications 75 (8) 3493 (2012)
https://doi.org/10.1016/j.na.2012.01.007

Superconvergence of finite element method for the Signorini problem

Ming-xia Li, Qun Lin and Shu-hua Zhang
Journal of Computational and Applied Mathematics 222 (2) 284 (2008)
https://doi.org/10.1016/j.cam.2007.10.058

Mathematical Modeling and Numerical Simulation in Continuum Mechanics

Mitsuhiro T. Nakao and Cheon Seoung Ryoo
Lecture Notes in Computational Science and Engineering, Mathematical Modeling and Numerical Simulation in Continuum Mechanics 19 195 (2002)
https://doi.org/10.1007/978-3-642-56288-4_14

Prox-regularization and solution of ill-posed elliptic variational inequalities

Alexander Kaplan and Rainer Tichatschke
Applications of Mathematics 42 (2) 111 (1997)
https://doi.org/10.1023/A:1022243127667

On Finite Element Approximation of a Second Order Unilateral Variational Inequality

Manfred Dobrowolski and Tilo Staib
Numerical Functional Analysis and Optimization 13 (3-4) 243 (1992)
https://doi.org/10.1080/01630569208816475