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 locking-free immersed finite element method for planar elasticity interface problems

Tao Lin, Dongwoo Sheen and Xu Zhang
Journal of Computational Physics 247 228 (2013)
DOI: 10.1016/j.jcp.2013.03.053
See this article

A nonconforming rotated Q1 approximation on tetrahedra

Peter Hansbo
Computer Methods in Applied Mechanics and Engineering 200 (9-12) 1311 (2011)
DOI: 10.1016/j.cma.2010.11.002
See this article

Stabilized Lagrange multiplier methods for bilateral elastic contact with friction

Per Heintz and Peter Hansbo
Computer Methods in Applied Mechanics and Engineering 195 (33-36) 4323 (2006)
DOI: 10.1016/j.cma.2005.09.008
See this article

A linear nonconforming finite element method for Maxwell’s equations in two dimensions. Part I: Frequency domain

Peter Hansbo and Thomas Rylander
Journal of Computational Physics 229 (18) 6534 (2010)
DOI: 10.1016/j.jcp.2010.05.009
See this article

The role of the penalty in the local discontinuous Galerkin method for Maxwell’s eigenvalue problem

T. Warburton and Mark Embree
Computer Methods in Applied Mechanics and Engineering 195 (25-28) 3205 (2006)
DOI: 10.1016/j.cma.2005.06.011
See this article

A posteriori error estimators for stabilized P1 nonconforming approximation of the Stokes problem

Hyung-Chun Lee and Kwang-Yeon Kim
Computer Methods in Applied Mechanics and Engineering 199 (45-48) 2903 (2010)
DOI: 10.1016/j.cma.2010.06.002
See this article

Connections between discontinuous Galerkin and nonconforming finite element methods for the Stokes equations

Roland Becker, Daniela Capatina and Julie Joie
Numerical Methods for Partial Differential Equations 28 (3) 1013 (2012)
DOI: 10.1002/num.20671
See this article

Stabilized Crouzeix-Raviart element for the coupled Stokes and Darcy problem

Min-fu Feng, Rui-sheng Qi, Rui Zhu and Bing-tao Ju
Applied Mathematics and Mechanics 31 (3) 393 (2010)
DOI: 10.1007/s10483-010-0312-z
See this article

Energy norm a posteriori error estimates for discontinuous Galerkin approximations of the linear elasticity problem

Peter Hansbo and Mats G. Larson
Computer Methods in Applied Mechanics and Engineering 200 (45-46) 3026 (2011)
DOI: 10.1016/j.cma.2011.06.008
See this article

A Nitsche type method for stress fields calculation in dissimilar material with interface crack

Michael Michaeli, Franck Assous and Anatoly Golubchik
Applied Numerical Mathematics 67 187 (2013)
DOI: 10.1016/j.apnum.2011.08.006
See this article

A discontinuous Galerkin formulation for classical and gradient plasticity. Part 2: Algorithms and numerical analysis

J.K. Djoko, F. Ebobisse, A.T. McBride and B.D. Reddy
Computer Methods in Applied Mechanics and Engineering 197 (1-4) 1 (2007)
DOI: 10.1016/j.cma.2007.06.027
See this article

A locking-free discontinuous Galerkin method for linear elasticity in locally nearly incompressible heterogeneous media

Daniele A. Di Pietro and Serge Nicaise
Applied Numerical Mathematics 63 105 (2013)
DOI: 10.1016/j.apnum.2012.09.009
See this article

Stabilized discontinuous finite element approximations for Stokes equations

Raytcho Lazarov and Xiu Ye
Journal of Computational and Applied Mathematics 198 (1) 236 (2007)
DOI: 10.1016/j.cam.2005.12.028
See this article

A discontinuous finite element method for elasto-plasticity

Peter Hansbo
International Journal for Numerical Methods in Biomedical Engineering n/a (2010)
DOI: 10.1002/cnm.1182
See this article

A nonconforming finite element method for the Biot’s consolidation model in poroelasticity

Xiaozhe Hu, Carmen Rodrigo, Francisco J. Gaspar and Ludmil T. Zikatanov
Journal of Computational and Applied Mathematics 310 143 (2017)
DOI: 10.1016/j.cam.2016.06.003
See this article

A hybrid high-order locking-free method for linear elasticity on general meshes

Daniele A. Di Pietro and Alexandre Ern
Computer Methods in Applied Mechanics and Engineering 283 1 (2015)
DOI: 10.1016/j.cma.2014.09.009
See this article

A brick-tetrahedron finite-element interface with stable hybrid explicit–implicit time-stepping for Maxwell’s equations

D. Degerfeldt and T. Rylander
Journal of Computational Physics 220 (1) 383 (2006)
DOI: 10.1016/j.jcp.2006.05.016
See this article

The Compact Discontinuous Galerkin Method for Nearly Incompressible Linear Elasticity

Xuehai Huang and Jianguo Huang
Journal of Scientific Computing 56 (2) 291 (2013)
DOI: 10.1007/s10915-012-9676-6
See this article

A domain-specific embedded language in C++ for lowest-order discretizations of diffusive problems on general meshes

Daniele A. Di Pietro, Jean-Marc Gratien and Christophe Prud’homme
BIT Numerical Mathematics 53 (1) 111 (2013)
DOI: 10.1007/s10543-012-0403-3
See this article

A subspace correction method for discontinuous Galerkin discretizations of linear elasticity equations

Blanca Ayuso de Dios, Ivan Georgiev, Johannes Kraus and Ludmil Zikatanov
ESAIM: Mathematical Modelling and Numerical Analysis 47 (5) 1315 (2013)
DOI: 10.1051/m2an/2013070
See this article

A geometrically nonlinear FE approach for the simulation of strong and weak discontinuities

Julia Mergheim and Paul Steinmann
Computer Methods in Applied Mechanics and Engineering 195 (37-40) 5037 (2006)
DOI: 10.1016/j.cma.2005.05.057
See this article

A new stabilization technique for the nonconforming Crouzeix–Raviart element applied to linear elasticity

Bishnu P. Lamichhane
Applied Mathematics Letters 39 35 (2015)
DOI: 10.1016/j.aml.2014.08.005
See this article

A locking-free and optimally convergent discontinuous-Galerkin-based extended finite element method for cracked nearly incompressible solids

Yongxing Shen and Adrian J. Lew
Computer Methods in Applied Mechanics and Engineering 273 119 (2014)
DOI: 10.1016/j.cma.2014.01.017
See this article

Domain decomposition for linear elasticity with DG jumps and mortars

Vivette Girault, Gergina V. Pencheva, Mary F. Wheeler and Tim M. Wildey
Computer Methods in Applied Mechanics and Engineering 198 (21-26) 1751 (2009)
DOI: 10.1016/j.cma.2008.12.037
See this article

Adaptive stabilization of discontinuous Galerkin methods for nonlinear elasticity: Motivation, formulation, and numerical examples

Alex Ten Eyck, Fatih Celiker and Adrian Lew
Computer Methods in Applied Mechanics and Engineering 197 (45-48) 3605 (2008)
DOI: 10.1016/j.cma.2008.02.020
See this article

Meshfree-enriched simplex elements with strain smoothing for the finite element analysis of compressible and nearly incompressible solids

C.T. Wu and W. Hu
Computer Methods in Applied Mechanics and Engineering 200 (45-46) 2991 (2011)
DOI: 10.1016/j.cma.2011.06.013
See this article

Stabilized Crouzeix-Raviart element for the Darcy-Stokes problem

Erik Burman and Peter Hansbo
Numerical Methods for Partial Differential Equations 21 (5) 986 (2005)
DOI: 10.1002/num.20076
See this article

Discontinuous Galerkin methods for non-linear elasticity

A. Ten Eyck and A. Lew
International Journal for Numerical Methods in Engineering 67 (9) 1204 (2006)
DOI: 10.1002/nme.1667
See this article

Primal stabilized hybrid and DG finite element methods for the linear elasticity problem

Cristiane O. Faria, Abimael F.D. Loula and Antônio J.B. dos Santos
Computers & Mathematics with Applications 68 (4) 486 (2014)
DOI: 10.1016/j.camwa.2014.06.014
See this article

An Immersed Finite Element Method for the Elasticity Problems with Displacement Jump

Daehyeon Kyeong and Do Young Kwak
Advances in Applied Mathematics and Mechanics 9 (02) 407 (2017)
DOI: 10.4208/aamm.2016.m1427
See this article

Analysis of DG approximations for Stokes problem based on velocity-pseudostress formulation

Tomás P. Barrios, Rommel Bustinza and Felipe Sánchez
Numerical Methods for Partial Differential Equations (2017)
DOI: 10.1002/num.22152
See this article

A Consistent Immersed Finite Element Method for the Interface Elasticity Problems

Sangwon Jin, Do Y. Kwak and Daehyeon Kyeong
Advances in Mathematical Physics 2016 1 (2016)
DOI: 10.1155/2016/3292487
See this article

A Reduced Local Discontinuous Galerkin Method for Nearly Incompressible Linear Elasticity

Xuehai Huang
Mathematical Problems in Engineering 2013 1 (2013)
DOI: 10.1155/2013/546408
See this article

On the Local Discontinuous Galerkin Method for Linear Elasticity

Yuncheng Chen, Jianguo Huang, Xuehai Huang and Yifeng Xu
Mathematical Problems in Engineering 2010 1 (2010)
DOI: 10.1155/2010/759547
See this article

A combination of Crouzeix-Raviart, Discontinuous Galerkin and MPFA methods for buoyancy-driven flows

Anis Younes, Ahmed Makradi, Ali Zidane, Qian Shao and Lyazid Bouhala
International Journal of Numerical Methods for Heat & Fluid Flow 24 (3) 735 (2014)
DOI: 10.1108/HFF-07-2012-0156
See this article

Linear and bilinear immersed finite elements for planar elasticity interface problems

Tao Lin and Xu Zhang
Journal of Computational and Applied Mathematics 236 (18) 4681 (2012)
DOI: 10.1016/j.cam.2012.03.012
See this article

Divergence-Conforming Discontinuous Galerkin Methods and $C^0$ Interior Penalty Methods

Guido Kanschat and Natasha Sharma
SIAM Journal on Numerical Analysis 52 (4) 1822 (2014)
DOI: 10.1137/120902975
See this article

Uniformly Convergent Interior Penalty Methods Using Multilinear Approximations for Problems in Elasticity

B. J. Grieshaber, A. T. McBride and B. D. Reddy
SIAM Journal on Numerical Analysis 53 (5) 2255 (2015)
DOI: 10.1137/140966253
See this article