EDP Sciences logo
Subscriber Authentication Point
Search
Menu
All issues ESAIM: M2AN, 37 2 (2003) 209-225 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:

A Nonconforming Finite Element Method with the Use of Nitsche’s Technique for a Strain Gradient Elastic Model

Mingqing Chen, Jianguo Huang and Xuehai Huang
Journal of Scientific Computing 104 (1) (2025)
https://doi.org/10.1007/s10915-025-02929-7

Nitsche Mortar Finite Element Method for Electromagnetic Field Numerical Calculations With Nonmatching Meshes in Railguns

Shuqi Liu, Lixue Chen and Dezhi Chen
IEEE Transactions on Plasma Science 52 (10) 5272 (2024)
https://doi.org/10.1109/TPS.2024.3487768

Fast finite element electrostatic analysis with domain decomposition method

Siyi Yang, Li Xu, Junhui Yin, Hao Wang and Bin Li
IEICE Electronics Express 20 (5) 20220540 (2023)
https://doi.org/10.1587/elex.20.20220540

A direct solution to linear constraints in the finite element analysis and its application illustrations

Ning Zhang, Hong Zheng, Chi Yuan and Wenan Wu
Engineering Computations 40 (9/10) 2328 (2023)
https://doi.org/10.1108/EC-06-2022-0400

A numerical framework coupling finite element and meshless methods in sequential and parallel simulations

Van Dung Nguyen, Charlotte Kirchhelle, Amir Abdollahi, et al.
Finite Elements in Analysis and Design 219 103927 (2023)
https://doi.org/10.1016/j.finel.2023.103927

Modeling the hydrodynamic behavior of fractures and barriers in porous media using coupling finite elements

Murilo Camargo, Pedro R. Cleto, Michael A. Maedo, et al.
Journal of Petroleum Science and Engineering 208 109700 (2022)
https://doi.org/10.1016/j.petrol.2021.109700

Nitsche method for contact with Coulomb friction: Existence results for the static and dynamic finite element formulations

Franz Chouly, Patrick Hild, Vanessa Lleras and Yves Renard
Journal of Computational and Applied Mathematics 416 114557 (2022)
https://doi.org/10.1016/j.cam.2022.114557

A Computational Strategy for Code- and Mesh-Agnostic Nonlinear Global–Local Analysis

Yaxiong Chen, Sai Sanjit Ganti and Ganesh Subbarayan
IEEE Transactions on Components, Packaging and Manufacturing Technology 12 (5) 740 (2022)
https://doi.org/10.1109/TCPMT.2022.3167651

Residual-based error estimation and adaptivity for stabilized immersed isogeometric analysis using truncated hierarchical B-splines

Sai C Divi, Pieter H van Zuijlen, Tuong Hoang, et al.
Journal of Mechanics 38 204 (2022)
https://doi.org/10.1093/jom/ufac015

Conservation of Forces and Total Work at the Interface Using the Internodes Method

Simone Deparis and Paola Gervasio
Vietnam Journal of Mathematics 50 (4) 901 (2022)
https://doi.org/10.1007/s10013-022-00560-9

Isogeometric multi-patch analyses for mixed thin shells in the framework of non-linear elasticity

Yujie Guo, Zhihui Zou and Martin Ruess
Computer Methods in Applied Mechanics and Engineering 380 113771 (2021)
https://doi.org/10.1016/j.cma.2021.113771

Overlapping Multipatch Isogeometric Method with Minimal Stabilization

Pablo Antolin, Annalisa Buffa, Riccardo Puppi and Xiaodong Wei
SIAM Journal on Scientific Computing 43 (1) A330 (2021)
https://doi.org/10.1137/19M1306750

A new discrete fracture approach based on the use of coupling finite elements for modeling fluid transport in naturally fractured porous media

Osvaldo L. Manzoli, Livia F.A. Borges, Eduardo A. Rodrigues, et al.
Computer Methods in Applied Mechanics and Engineering 386 114112 (2021)
https://doi.org/10.1016/j.cma.2021.114112

An Interior Penalty Domain Decomposition Method for Thermal Analysis of 3-D Integrated Systems

Peng Xie, Li Xu, Jun-Hui Yin, et al.
IEEE Transactions on Components, Packaging and Manufacturing Technology 11 (3) 395 (2021)
https://doi.org/10.1109/TCPMT.2021.3054243

Decoupled modified characteristic finite element method with different subdomain time steps for nonstationary dual–porosity–Navier–Stokes model

Luling Cao, Yinnian He, Jian Li and Md. Abdullah Al Mahbub
Applied Numerical Mathematics 166 238 (2021)
https://doi.org/10.1016/j.apnum.2021.04.012

Adaptive refinement for phase-field models of brittle fracture based on Nitsche’s method

Alba Muixí, Sonia Fernández-Méndez and Antonio Rodríguez-Ferran
Computational Mechanics 66 (1) 69 (2020)
https://doi.org/10.1007/s00466-020-01841-1

On Nitsche's Method for Elastic Contact Problems

Tom Gustafsson, Rolf Stenberg and Juha Videman
SIAM Journal on Scientific Computing 42 (2) B425 (2020)
https://doi.org/10.1137/19M1246869

Multimesh finite elements with flexible mesh sizes

August Johansson, Mats G. Larson and Anders Logg
Computer Methods in Applied Mechanics and Engineering 372 113420 (2020)
https://doi.org/10.1016/j.cma.2020.113420

Hybrid coupling of CG and HDG discretizations based on Nitsche’s method

Andrea La Spina, Matteo Giacomini and Antonio Huerta
Computational Mechanics 65 (2) 311 (2020)
https://doi.org/10.1007/s00466-019-01770-8

A multimesh finite element method for the Navier–Stokes equations based on projection methods

Jørgen S. Dokken, August Johansson, André Massing and Simon W. Funke
Computer Methods in Applied Mechanics and Engineering 368 113129 (2020)
https://doi.org/10.1016/j.cma.2020.113129

Numerical Solution to the 3D Static Maxwell Equations in Axisymmetric Singular Domains with Arbitrary Data

Franck Assous and Irina Raichik
Computational Methods in Applied Mathematics 20 (3) 419 (2020)
https://doi.org/10.1515/cmam-2018-0314

Analysis of the damage initiation in a SiC/SiC composite tube from a direct comparison between large-scale numerical simulation and synchrotron X-ray micro-computed tomography

Yang Chen, Lionel Gélébart, Camille Chateau, et al.
International Journal of Solids and Structures 161 111 (2019)
https://doi.org/10.1016/j.ijsolstr.2018.11.009

Thermoelasticity at finite strains with weak and strong discontinuities

Arif Masud and Pinlei Chen
Computer Methods in Applied Mechanics and Engineering 347 1050 (2019)
https://doi.org/10.1016/j.cma.2018.12.024

A polytree based coupling method for non-matching meshes in 3D

Junqi Zhang and Chongmin Song
Computer Methods in Applied Mechanics and Engineering 349 743 (2019)
https://doi.org/10.1016/j.cma.2019.02.038

Coupling non-conforming discretizations of PDEs by spectral approximation of the Lagrange multiplier space

Simone Deparis, Antonio Iubatti and Luca Pegolotti
ESAIM: Mathematical Modelling and Numerical Analysis 53 (5) 1667 (2019)
https://doi.org/10.1051/m2an/2019030

Analysis of electrostatic and static magnetic field problems by advanced domain decomposition method

Peng Xie, Li Xu, Jun‐hui Yin, Zhong‐hai Yang and Bin Li
Electronics Letters 55 (13) 737 (2019)
https://doi.org/10.1049/el.2019.1010

A priori error analysis of the stabilized Lagrange multiplier method for elliptic problems with natural norms

Sanjib Kumar Acharya and Ajit Patel
Journal of Applied Mathematics and Computing 59 (1-2) 723 (2019)
https://doi.org/10.1007/s12190-018-1199-3

Numerical Mathematics and Advanced Applications ENUMATH 2017

Tom Gustafsson, Rolf Stenberg and Juha Videman
Lecture Notes in Computational Science and Engineering, Numerical Mathematics and Advanced Applications ENUMATH 2017 126 407 (2019)
https://doi.org/10.1007/978-3-319-96415-7_36

Weighted Average Continuity Approach and Moment Correction: New Strategies for Non-consistent Mesh Projection in Structural Mechanics

Simone Coniglio, Christian Gogu and Joseph Morlier
Archives of Computational Methods in Engineering 26 (5) 1415 (2019)
https://doi.org/10.1007/s11831-018-9285-0

Coupled and decoupled stabilized mixed finite element methods for nonstationary dual‐porosity‐Stokes fluid flow model

Md. Abdullah Al Mahbub, Xiaoming He, Nasrin Jahan Nasu, Changxin Qiu and Haibiao Zheng
International Journal for Numerical Methods in Engineering 120 (6) 803 (2019)
https://doi.org/10.1002/nme.6158

A massively-parallel, unstructured overset method to simulate moving bodies in turbulent flows

Wyatt James Horne and Krishnan Mahesh
Journal of Computational Physics 397 108790 (2019)
https://doi.org/10.1016/j.jcp.2019.06.066

Mixed-dimensional coupling for time-dependent wave problems using the Nitsche method

Hanan Amar and Dan Givoli
Computer Methods in Applied Mechanics and Engineering 349 213 (2019)
https://doi.org/10.1016/j.cma.2019.02.009

A high order discontinuous Galerkin method with Lagrange multipliers for second-order elliptic problems

Mi-Young Kim and Dong-wook Shin
Applied Numerical Mathematics 135 47 (2019)
https://doi.org/10.1016/j.apnum.2018.08.003

Boundary Element Methods with Weakly Imposed Boundary Conditions

Timo Betcke, Erik Burman and Matthew W. Scroggs
SIAM Journal on Scientific Computing 41 (3) A1357 (2019)
https://doi.org/10.1137/18M119625X

Multimesh finite element methods: Solving PDEs on multiple intersecting meshes

August Johansson, Benjamin Kehlet, Mats G. Larson and Anders Logg
Computer Methods in Applied Mechanics and Engineering 343 672 (2019)
https://doi.org/10.1016/j.cma.2018.09.009

Weak impositions of Dirichlet boundary conditions in solid mechanics: A critique of current approaches and extension to partially prescribed boundaries

Kaizhou Lu, Charles E. Augarde, William M. Coombs and Zhendong Hu
Computer Methods in Applied Mechanics and Engineering 348 632 (2019)
https://doi.org/10.1016/j.cma.2019.01.035

Residual-based a posteriori error estimation for contact problems approximated by Nitsche’s method

Franz Chouly, Mathieu Fabre, Patrick Hild, Jérôme Pousin and Yves Renard
IMA Journal of Numerical Analysis 38 (2) 921 (2018)
https://doi.org/10.1093/imanum/drx024

Proper generalized decomposition solutions within a domain decomposition strategy

Antonio Huerta, Enrique Nadal and Francisco Chinesta
International Journal for Numerical Methods in Engineering 113 (13) 1972 (2018)
https://doi.org/10.1002/nme.5729

Skew-symmetric Nitsche’s formulation in isogeometric analysis: Dirichlet and symmetry conditions, patch coupling and frictionless contact

Qingyuan Hu, Franz Chouly, Ping Hu, Gengdong Cheng and Stéphane P.A. Bordas
Computer Methods in Applied Mechanics and Engineering 341 188 (2018)
https://doi.org/10.1016/j.cma.2018.05.024

On the use of reduced integration in combination with discontinuous Galerkin discretization: application to volumetric and shear locking problems

Hamid Reza Bayat, Stephan Wulfinghoff, Steffen Kastian and Stefanie Reese
Advanced Modeling and Simulation in Engineering Sciences 5 (1) (2018)
https://doi.org/10.1186/s40323-018-0103-x

Modeling Beam–Solid Finite Element Interfaces: A Stabilized Formulation for Contact and Coupled Systems

Jorge A. Montero and Ghadir Haikal
International Journal of Applied Mechanics 10 (09) 1850094 (2018)
https://doi.org/10.1142/S1758825118500941

An unbiased Nitsche’s approximation of the frictional contact between two elastic structures

Franz Chouly, Rabii Mlika and Yves Renard
Numerische Mathematik 139 (3) 593 (2018)
https://doi.org/10.1007/s00211-018-0950-x

Enhanced mesoscale partitioned modelling of heterogeneous masonry structures

E. Minga, L. Macorini and B. A. Izzuddin
International Journal for Numerical Methods in Engineering 113 (13) 1950 (2018)
https://doi.org/10.1002/nme.5728

Stabilized Lagrange multiplier method for elliptic and parabolic interface problems

Ajit Patel, Sanjib Kumar Acharya and Amiya Kumar Pani
Applied Numerical Mathematics 120 287 (2017)
https://doi.org/10.1016/j.apnum.2017.05.011

A low-order locking-free hybrid discontinuous Galerkin element formulation for large deformations

Stephan Wulfinghoff, Hamid Reza Bayat, Atefeh Alipour and Stefanie Reese
Computer Methods in Applied Mechanics and Engineering 323 353 (2017)
https://doi.org/10.1016/j.cma.2017.05.018

Optimal trace inequality constants for interior penalty discontinuous Galerkin discretisations of elliptic operators using arbitrary elements with non-constant Jacobians

A.R. Owens, J. Kópházi and M.D. Eaton
Journal of Computational Physics 350 847 (2017)
https://doi.org/10.1016/j.jcp.2017.09.020

On Finite Element Formulations for the Obstacle Problem – Mixed and Stabilised Methods

Tom Gustafsson, Rolf Stenberg and Juha Videman
Computational Methods in Applied Mathematics 17 (3) 413 (2017)
https://doi.org/10.1515/cmam-2017-0011

The domain interface method in non-conforming domain decomposition multifield problems

O. Lloberas-Valls, M. Cafiero, J. Cante, A. Ferrer and J. Oliver
Computational Mechanics 59 (4) 579 (2017)
https://doi.org/10.1007/s00466-016-1361-4

Geometrically Unfitted Finite Element Methods and Applications

Thomas Boiveau, Erik Burman and Susanne Claus
Lecture Notes in Computational Science and Engineering, Geometrically Unfitted Finite Element Methods and Applications 121 183 (2017)
https://doi.org/10.1007/978-3-319-71431-8_6

Towards nonlinear imperfect interface models including micro-cracks and smooth roughness

S. Dumont, F. Lebon, M. L. Raffa and R. Rizzoni
Annals of Solid and Structural Mechanics 9 (1-2) 13 (2017)
https://doi.org/10.1007/s12356-017-0047-8

Galerkin least squares finite element method for the obstacle problem

Erik Burman, Peter Hansbo, Mats G. Larson and Rolf Stenberg
Computer Methods in Applied Mechanics and Engineering 313 362 (2017)
https://doi.org/10.1016/j.cma.2016.09.025

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

The tetrahedral finite cell method: Higher‐order immersogeometric analysis on adaptive non‐boundary‐fitted meshes

Vasco Varduhn, Ming‐Chen Hsu, Martin Ruess and Dominik Schillinger
International Journal for Numerical Methods in Engineering 107 (12) 1054 (2016)
https://doi.org/10.1002/nme.5207

Asynchronous space–time algorithm based on a domain decomposition method for structural dynamics problems on non-matching meshes

Waad Subber and Karel Matouš
Computational Mechanics 57 (2) 211 (2016)
https://doi.org/10.1007/s00466-015-1228-0

The domain interface method: a general-purpose non-intrusive technique for non-conforming domain decomposition problems

M. Cafiero, O. Lloberas-Valls, J. Cante and J. Oliver
Computational Mechanics 57 (4) 555 (2016)
https://doi.org/10.1007/s00466-015-1239-x

3-D FE Method Analysis of Static Fields for Non-Conforming Meshes With Second-Order Node-Based Elements

Gebhard J. Wallinger and Oszkar Biro
IEEE Transactions on Magnetics 52 (3) 1 (2016)
https://doi.org/10.1109/TMAG.2015.2483778

Non-intrusive Coupling: Recent Advances and Scalable Nonlinear Domain Decomposition

Mickaël Duval, Jean-Charles Passieux, Michel Salaün and Stéphane Guinard
Archives of Computational Methods in Engineering 23 (1) 17 (2016)
https://doi.org/10.1007/s11831-014-9132-x

Energy-Preserving Methods and Torque Computation From Energy Balance in Electrical Machine Simulations

Lauri Perkkio, Paavo Rasilo, Bishal Silwal, et al.
IEEE Transactions on Magnetics 52 (8) 1 (2016)
https://doi.org/10.1109/TMAG.2016.2537263

Mortar formulation for a class of staggered discontinuous Galerkin methods

Hyea Hyun Kim, Eric T. Chung and Chi Yeung Lam
Computers & Mathematics with Applications 71 (8) 1568 (2016)
https://doi.org/10.1016/j.camwa.2016.02.035

A Nitsche-type method for Helmholtz equation with an embedded acoustically permeable interface

Esubalewe Lakie Yedeg, Eddie Wadbro, Peter Hansbo, Mats G. Larson and Martin Berggren
Computer Methods in Applied Mechanics and Engineering 304 479 (2016)
https://doi.org/10.1016/j.cma.2016.02.032

Node-to-node scheme for three-dimensional contact mechanics using polyhedral type variable-node elements

Seungmin Jin, Dongwoo Sohn and Seyoung Im
Computer Methods in Applied Mechanics and Engineering 304 217 (2016)
https://doi.org/10.1016/j.cma.2016.02.019

Optimal convergence and a posteriori error analysis of the original DG method for advection-reaction equations

Tie Zhang and Shuhua Zhang
Applications of Mathematics 60 (1) 1 (2015)
https://doi.org/10.1007/s10492-015-0082-x

Parameter-free, weak imposition of Dirichlet boundary conditions and coupling of trimmed and non-conforming patches

S. Kollmannsberger, A. Özcan, J. Baiges, et al.
International Journal for Numerical Methods in Engineering 101 (9) 670 (2015)
https://doi.org/10.1002/nme.4817

Numerical Mathematics and Advanced Applications - ENUMATH 2013

Mika Juntunen
Lecture Notes in Computational Science and Engineering, Numerical Mathematics and Advanced Applications - ENUMATH 2013 103 57 (2015)
https://doi.org/10.1007/978-3-319-10705-9_5

A non-matching finite element-scaled boundary finite element coupled method for linear elastic crack propagation modelling

Z.J. Yang, X.F. Wang, D.S. Yin and Ch Zhang
Computers & Structures 153 126 (2015)
https://doi.org/10.1016/j.compstruc.2015.02.034

Substructuring preconditioners for an $$h$$ h - $$p$$ p domain decomposition method with interior penalty mortaring

P. F. Antonietti, B. Ayuso de Dios, S. Bertoluzza and M. Pennacchio
Calcolo 52 (3) 289 (2015)
https://doi.org/10.1007/s10092-014-0117-9

A Nitsche finite element method for dynamic contact: 1. Space semi-discretization and time-marching schemes

Franz Chouly, Patrick Hild and Yves Renard
ESAIM: Mathematical Modelling and Numerical Analysis 49 (2) 481 (2015)
https://doi.org/10.1051/m2an/2014041

Stabilized Finite Element Formulation with Domain Decomposition for Incompressible Flows

Roland Becker, Daniela Capatina, Robert Luce and David Trujillo
SIAM Journal on Scientific Computing 37 (3) A1270 (2015)
https://doi.org/10.1137/140975796

The Nitsche method applied to a class of mixed-dimensional coupling problems

Daniel Rabinovich, Yoav Ofir and Dan Givoli
Computer Methods in Applied Mechanics and Engineering 274 125 (2014)
https://doi.org/10.1016/j.cma.2014.02.006

Nitsche’s method for two and three dimensional NURBS patch coupling

Vinh Phu Nguyen, Pierre Kerfriden, Marco Brino, Stéphane P. A. Bordas and Elvio Bonisoli
Computational Mechanics 53 (6) 1163 (2014)
https://doi.org/10.1007/s00466-013-0955-3

Coupling discontinuous Galerkin discretizations using mortar finite elements for advection–diffusion–reaction problems

Mi-Young Kim and Mary F. Wheeler
Computers & Mathematics with Applications 67 (1) 181 (2014)
https://doi.org/10.1016/j.camwa.2013.11.002

A 2D FEM analysis of electromechanical signatures in induction motors under dynamic eccentricity

Javier Martinez, Anouar Belahcen, Joaquim Detoni and Antero Arkkio
International Journal of Numerical Modelling: Electronic Networks, Devices and Fields 27 (3) 555 (2014)
https://doi.org/10.1002/jnm.1942

Explicit Coupling Schemes for a Fluid-Fluid Interaction Problem Arising in Hemodynamics

Miguel A. Fernández, Jean-Frédéric Gerbeau and Saverio Smaldone
SIAM Journal on Scientific Computing 36 (6) A2557 (2014)
https://doi.org/10.1137/130948653

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

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)
https://doi.org/10.1016/j.apnum.2011.08.006

Mortar contact formulations for deformable–deformable contact: Past contributions and new extensions for enriched and embedded interface formulations

Tod A. Laursen, Michael A. Puso and Jessica Sanders
Computer Methods in Applied Mechanics and Engineering 205-208 3 (2012)
https://doi.org/10.1016/j.cma.2010.09.006

A stabilized Lagrange multiplier method for the enriched finite-element approximation of contact problems of cracked elastic bodies

Saber Amdouni, Patrick Hild, Vanessa Lleras, Maher Moakher and Yves Renard
ESAIM: Mathematical Modelling and Numerical Analysis 46 (4) 813 (2012)
https://doi.org/10.1051/m2an/2011072

A Direct Domain-Decomposition-Based Time- Domain Finite-Element Method of Linear Complexity for Simulating Multiscaled Structures in Integrated Circuit Systems

Duo Chen and Dan Jiao
IEEE Transactions on Antennas and Propagation 60 (11) 5228 (2012)
https://doi.org/10.1109/TAP.2012.2210271