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:
Roland Becker, Peter Hansbo, Rolf Stenberg
ESAIM: M2AN, 37 2 (2003) 209-225
Published online: 2003-11-15
This article has been cited by the following article(s):
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)
DOI: 10.1016/j.apnum.2017.05.011
See this article
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)
DOI: 10.1016/j.compstruc.2015.02.034
See this article
Approximate imposition of boundary conditions in immersed boundary methods
Ramon Codina and Joan Baiges
International Journal for Numerical Methods in Engineering 80 (11) 1379 (2009)
DOI: 10.1002/nme.2662
See this article
A Domain Decomposition Method Based on Weighted Interior Penalties for Advection-Diffusion-Reaction Problems
Erik Burman and Paolo Zunino
SIAM Journal on Numerical Analysis 44 (4) 1612 (2006)
DOI: 10.1137/050634736
See this article
A Finite Element Method Based on Weighted Interior Penalties for Heterogeneous Incompressible Flows
Carlo D'Angelo and Paolo Zunino
SIAM Journal on Numerical Analysis 47 (5) 3990 (2009)
DOI: 10.1137/080726318
See this article
Lagrange multiplier method with penalty for elliptic and parabolic interface problems
Ajit Patel
Journal of Applied Mathematics and Computing 37 (1-2) 37 (2011)
DOI: 10.1007/s12190-010-0419-2
See this article
On the connection between the stabilized Lagrange multiplier and Nitsche’s methods
Mika Juntunen
Numerische Mathematik 131 (3) 453 (2015)
DOI: 10.1007/s00211-015-0701-1
See this article
A Nitsche-based domain decomposition method for hypersingular integral equations
Franz Chouly and Norbert Heuer
Numerische Mathematik 121 (4) 705 (2012)
DOI: 10.1007/s00211-012-0451-2
See this article
A finite element method on composite grids based on Nitsche's method
Anita Hansbo, Peter Hansbo and Mats G. Larson
ESAIM: Mathematical Modelling and Numerical Analysis 37 (3) 495 (2003)
DOI: 10.1051/m2an:2003039
See this article
Energy Norm shape A Posteriori Error Estimation for Mixed Discontinuous Galerkin Approximations of the Stokes Problem
Houston Paul, Dominik Schötzau and Thomas P. Wihler
Journal of Scientific Computing 22-23 (1-3) 347 (2005)
DOI: 10.1007/s10915-004-4143-7
See this article
A Stabilized Lagrange Multiplier Method for the Finite Element Approximation of Frictional Contact Problems in Elastostatics
V. Lleras
Mathematical Modelling of Natural Phenomena 4 (1) 163 (2009)
DOI: 10.1051/mmnp/20094108
See this article
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 (2017)
DOI: 10.1007/s12356-017-0047-8
See this article
A robust a-posteriori error estimator for discontinuous Galerkin methods for convection–diffusion equations
Dominik Schötzau and Liang Zhu
Applied Numerical Mathematics 59 (9) 2236 (2009)
DOI: 10.1016/j.apnum.2008.12.014
See this article
Solving Maxwell’s equations in singular domains with a Nitsche type method
F. Assous and M. Michaeli
Journal of Computational Physics 230 (12) 4922 (2011)
DOI: 10.1016/j.jcp.2011.03.013
See this article
Numerical Analysis of a Finite Element/Volume Penalty Method
Bertrand Maury
SIAM Journal on Numerical Analysis 47 (2) 1126 (2009)
DOI: 10.1137/080712799
See this article
A stabilized Lagrange multiplier method for the finite element approximation of contact problems in elastostatics
Patrick Hild and Yves Renard
Numerische Mathematik 115 (1) 101 (2010)
DOI: 10.1007/s00211-009-0273-z
See this article
A Posteriori Error Estimation for Interior Penalty Finite Element Approximations of the Advection-Reaction Equation
Erik Burman
SIAM Journal on Numerical Analysis 47 (5) 3584 (2009)
DOI: 10.1137/080733899
See this article
Coupling Discontinuous Galerkin and Mixed Finite Element Discretizations using Mortar Finite Elements
Vivette Girault, Shuyu Sun, Mary F. Wheeler and Ivan Yotov
SIAM Journal on Numerical Analysis 46 (2) 949 (2008)
DOI: 10.1137/060671620
See this article
Robin Based Semi-Implicit Coupling in Fluid-Structure Interaction: Stability Analysis and Numerics
Matteo Astorino, Franz Chouly and Miguel A. Fernandez
SIAM Journal on Scientific Computing 31 (6) 4041 (2010)
DOI: 10.1137/090749694
See this article
Nitsche-mortaring for singularly perturbed convection–diffusion problems
Torsten Linß, Hans-Görg Roos and Martin Schopf
Advances in Computational Mathematics 36 (4) 581 (2012)
DOI: 10.1007/s10444-011-9195-2
See this article
Projection Schemes for Fluid Flows through a Porous Interface
Alfonso Caiazzo, Miguel A. Fernandez, Jean-Frederic Gerbeau and Vincent Martin
SIAM Journal on Scientific Computing 33 (2) 541 (2011)
DOI: 10.1137/100788124
See this article
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)
DOI: 10.1002/nme.5729
See this article
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)
DOI: 10.1002/nme.5728
See this article
A Nitsche-Based Method for Unilateral Contact Problems: Numerical Analysis
Franz Chouly and Patrick Hild
SIAM Journal on Numerical Analysis 51 (2) 1295 (2013)
DOI: 10.1137/12088344X
See this article
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)
DOI: 10.1007/978-3-319-10705-9_5
See this article
Stabilization of explicit coupling in fluid–structure interaction involving fluid incompressibility
Erik Burman and Miguel A. Fernández
Computer Methods in Applied Mechanics and Engineering 198 (5-8) 766 (2009)
DOI: 10.1016/j.cma.2008.10.012
See this article
A formulation for frictionless contact problems using a weak form introduced by Nitsche
P. Wriggers and G. Zavarise
Computational Mechanics 41 (3) 407 (2007)
DOI: 10.1007/s00466-007-0196-4
See this article
Numerical Methods in Contact Mechanics
Numerical Methods in Contact Mechanics 375 (2013)
DOI: 10.1002/9781118647974.biblio
See this article
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)
DOI: 10.1007/s00466-015-1239-x
See this article
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)
DOI: 10.1002/nme.4817
See this article
An added-mass free semi-implicit coupling scheme for fluid–structure interaction
Matteo Astorino, Franz Chouly and Miguel A. Fernández
Comptes Rendus Mathematique 347 (1-2) 99 (2009)
DOI: 10.1016/j.crma.2008.11.003
See this article
A discontinuous Galerkin method for a model arising from stratigraphy
Roland Becker, Guy Vallet and Abdelaziz Taakili
Applied Numerical Mathematics 78 68 (2014)
DOI: 10.1016/j.apnum.2013.06.010
See this article
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)
DOI: 10.1007/s00466-013-0955-3
See this article
An Adaptive Strategy for the Local Discontinuous Galerkin Method Applied to Porous Media Problems
Esov S. Velázquez and Paul E. Castillo
Computer-Aided Civil and Infrastructure Engineering 23 (4) 238 (2008)
DOI: 10.1111/j.1467-8667.2007.00539.x
See this article
ENERGY NORM A POSTERIORI ERROR ESTIMATION OF hp-ADAPTIVE DISCONTINUOUS GALERKIN METHODS FOR ELLIPTIC PROBLEMS
PAUL HOUSTON, DOMINIK SCHÖTZAU and THOMAS P. WIHLER
Mathematical Models and Methods in Applied Sciences 17 (01) 33 (2007)
DOI: 10.1142/S0218202507001826
See this article
Nitsche Type Mortaring for Singularly Perturbed Reaction-diffusion Problems
B. Heinrich and K. Pönitz
Computing 75 (4) 257 (2005)
DOI: 10.1007/s00607-005-0123-5
See this article
A Nitsche embedded mesh method
Jessica D. Sanders, Tod A. Laursen and Michael A. Puso
Computational Mechanics 49 (2) 243 (2012)
DOI: 10.1007/s00466-011-0641-2
See this article
Energy norma posteriorierror estimation for divergence‐free discontinuous Galerkin approximations of the Navier–Stokes equations
Guido Kanschat and Dominik Schötzau
International Journal for Numerical Methods in Fluids 57 (9) 1093 (2008)
DOI: 10.1002/fld.1795
See this article
On the necessity of Nitsche term
G. Dupire, J.P. Boufflet, M. Dambrine and P. Villon
Applied Numerical Mathematics 60 (9) 888 (2010)
DOI: 10.1016/j.apnum.2010.04.013
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
An enriched discontinuous Galerkin formulation for the coupling of non-conforming meshes
G. Haikal and K.D. Hjelmstad
Finite Elements in Analysis and Design 46 (6) 496 (2010)
DOI: 10.1016/j.finel.2009.12.008
See this article
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)
DOI: 10.1002/jnm.1942
See this article
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)
DOI: 10.1109/TAP.2012.2210271
See this article
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)
DOI: 10.1007/s10092-014-0117-9
See this article
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)
DOI: 10.1051/m2an/2014041
See this article
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)
DOI: 10.1109/TMAG.2015.2483778
See this article
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)
DOI: 10.1007/s00466-016-1361-4
See this article
An octree partition of unity method (OctPUM) with enrichments for multiscale modeling of heterogeneous media
Michael Macri and Suvranu De
Computers & Structures 86 (7-8) 780 (2008)
DOI: 10.1016/j.compstruc.2007.06.001
See this article
Coupling schemes for incompressible fluid-structure interaction: implicit, semi-implicit and explicit
Miguel A. Fernández
SeMA Journal 55 (1) 59 (2011)
DOI: 10.1007/BF03322593
See this article
A Review of the Parallel Algorithms for Solving Multidimensional PDE Problems
Norma Alias and Md. Rajibul Is
Journal of Applied Sciences 10 (19) 2187 (2010)
DOI: 10.3923/jas.2010.2187.2197
See this article
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)
DOI: 10.1016/j.cma.2010.09.006
See this article
Estimation of penalty parameters for symmetric interior penalty Galerkin methods
Yekaterina Epshteyn and Béatrice Rivière
Journal of Computational and Applied Mathematics 206 (2) 843 (2007)
DOI: 10.1016/j.cam.2006.08.029
See this article
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)
DOI: 10.1007/s11831-014-9132-x
See this article
Stabilized explicit coupling for fluid–structure interaction using Nitsche's method
Erik Burman and Miguel A. Fernández
Comptes Rendus Mathematique 345 (8) 467 (2007)
DOI: 10.1016/j.crma.2007.09.010
See this article
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)
DOI: 10.1016/j.cma.2014.02.006
See this article
Numerical approximation with Nitscheʼs coupling of transient Stokesʼ/Darcyʼs flow problems applied to hemodynamics
Carlo DʼAngelo and Paolo Zunino
Applied Numerical Mathematics 62 (4) 378 (2012)
DOI: 10.1016/j.apnum.2011.03.001
See this article
An asymptotic approach to the adhesion of thin stiff films
S. Dumont, F. Lebon and R. Rizzoni
Mechanics Research Communications 58 24 (2014)
DOI: 10.1016/j.mechrescom.2014.01.007
See this article
A framework for obtaining guaranteed error bounds for finite element approximations
Mark Ainsworth
Journal of Computational and Applied Mathematics 234 (9) 2618 (2010)
DOI: 10.1016/j.cam.2010.01.037
See this article
On the necessity of Nitsche term. Part II: An alternative approach
J.P. Boufflet, M. Dambrine, G. Dupire and P. Villon
Applied Numerical Mathematics 62 (5) 521 (2012)
DOI: 10.1016/j.apnum.2011.12.007
See this article
A hierarchical NXFEM for fictitious domain simulations
Roland Becker, Erik Burman and Peter Hansbo
International Journal for Numerical Methods in Engineering 86 (4-5) 549 (2011)
DOI: 10.1002/nme.3093
See this article
Nitsche's method combined with space–time finite elements for ALE fluid–structure interaction problems
Peter Hansbo, Joakim Hermansson and Thomas Svedberg
Computer Methods in Applied Mechanics and Engineering 193 (39-41) 4195 (2004)
DOI: 10.1016/j.cma.2003.09.029
See this article
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)
DOI: 10.1016/j.jcp.2017.09.020
See this article
An A Posteriori Error Estimate for the Local Discontinuous Galerkin Method
Paul Castillo
Journal of Scientific Computing 22-23 (1-3) 187 (2005)
DOI: 10.1007/s10915-004-4151-7
See this article
Nitsche's method for interface problems in computa-tional mechanics
Peter Hansbo
GAMM-Mitteilungen 28 (2) 183 (2005)
DOI: 10.1002/gamm.201490018
See this article
A unified stabilized method for Stokes’ and Darcy's equations
Erik Burman and Peter Hansbo
Journal of Computational and Applied Mathematics 198 (1) 35 (2007)
DOI: 10.1016/j.cam.2005.11.022
See this article
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)
DOI: 10.1016/j.cma.2018.05.024
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
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)
DOI: 10.1137/18M119625X
See this article
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)
DOI: 10.1007/978-3-319-71431-8_4
See this article
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)
DOI: 10.1007/978-3-319-71431-8_6
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 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)
DOI: 10.1051/m2an/2011072
See this article
A unified formulation for interface coupling and frictional contact modeling with embedded error estimation
Arif Masud, Timothy J. Truster and Lawrence A. Bergman
International Journal for Numerical Methods in Engineering 92 (2) 141 (2012)
DOI: 10.1002/nme.4326
See this article
Parallel Algorithms and Cluster Computing
Bernd Heinrich and Kornelia Pönitz
Lecture Notes in Computational Science and Engineering, Parallel Algorithms and Cluster Computing 52 87 (2006)
DOI: 10.1007/3-540-33541-2_6
See this article
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)
DOI: 10.1109/TCPMT.2021.3054243
See this article
A hybrid discontinuous Galerkin/interface method for the computational modelling of failure
J. Mergheim, E. Kuhl and P. Steinmann
Communications in Numerical Methods in Engineering 20 (7) 511 (2004)
DOI: 10.1002/cnm.689
See this article
Meshfree Methods for Partial Differential Equations III
Michael Griebel and Marc Alexander Schweitzer
Lecture Notes in Computational Science and Engineering, Meshfree Methods for Partial Differential Equations III 57 121 (2007)
DOI: 10.1007/978-3-540-46222-4_8
See this article
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)
DOI: 10.1016/j.cma.2020.113129
See this article
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)
DOI: 10.1016/j.cma.2016.02.019
See this article
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)
DOI: 10.1016/j.cma.2016.02.032
See this article
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)
DOI: 10.1007/s00466-015-1228-0
See this article
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)
DOI: 10.1093/imanum/drx024
See this article
Solving Numerically the Static Maxwell Equations in an Axisymmetric Singular Geometry
Franck Assous and Irina Raichik
Mathematical Modelling and Analysis 20 (1) 9 (2015)
DOI: 10.3846/13926292.2015.996615
See this article
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)
DOI: 10.1007/s10492-015-0082-x
See this article
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)
DOI: 10.1016/j.camwa.2013.11.002
See this article
DOMAIN DECOMPOSITION FOR POROELASTICITY AND ELASTICITY WITH DG JUMPS AND MORTARS
V. GIRAULT, G. PENCHEVA, M. F. WHEELER and T. WILDEY
Mathematical Models and Methods in Applied Sciences 21 (01) 169 (2011)
DOI: 10.1142/S0218202511005039
See this article
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)
DOI: 10.1142/S1758825118500941
See this article
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)
DOI: 10.1109/TMAG.2016.2537263
See this article
An adaptation of Nitscheʼs method to the Tresca friction problem
Franz Chouly
Journal of Mathematical Analysis and Applications 411 (1) 329 (2014)
DOI: 10.1016/j.jmaa.2013.09.019
See this article
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)
DOI: 10.1002/nme.5207
See this article
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)
DOI: 10.1007/s00466-019-01770-8
See this article
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)
DOI: 10.1137/130948653
See this article
A Penalty-Free Nonsymmetric Nitsche-Type Method for the Weak Imposition of Boundary Conditions
Erik Burman
SIAM Journal on Numerical Analysis 50 (4) 1959 (2012)
DOI: 10.1137/10081784X
See this article
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)
DOI: 10.1137/140975796
See this article
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)
DOI: 10.1016/j.apnum.2018.08.003
See this article
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)
DOI: 10.1051/m2an/2019030
See this article
Modeling the hydrodynamic behavior of fractures and barriers in porous media using coupling finite elements
Murilo Camargo, Pedro R. Cleto, Michael A. Maedo, Eduardo A. Rodrigues, Luís A.G. Bitencourt and Osvaldo L. Manzoli
Journal of Petroleum Science and Engineering 208 109700 (2022)
DOI: 10.1016/j.petrol.2021.109700
See this article
G. Wallinger and O. Biro
1 (2018)
DOI: 10.1109/INTMAG.2018.8508379
See this article
Congcong Zhang and Huanzhen Chen
251 (2011)
DOI: 10.1109/ICIST.2011.5765247
See this article
Post-processing speech recordings during MRI
Juha Kuortti, Jarmo Malinen and Antti Ojalammi
Biomedical Signal Processing and Control 39 11 (2018)
DOI: 10.1016/j.bspc.2017.07.017
See this article
Soft and hard interface models for bonded elements
S. Dumont, R. Rizzoni, F. Lebon and E. Sacco
Composites Part B: Engineering 153 480 (2018)
DOI: 10.1016/j.compositesb.2018.08.076
See this article
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)
DOI: 10.1002/nme.6158
See this article
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)
DOI: 10.1016/j.ijsolstr.2018.11.009
See this article
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)
DOI: 10.1007/s11831-018-9285-0
See this article
A variant of Nitsche's method
Roland Becker
Comptes Rendus Mathematique 356 (11-12) 1236 (2018)
DOI: 10.1016/j.crma.2018.11.002
See this article
Finite cover method with mortar elements for elastoplasticity problems
M. Kurumatani and K. Terada
Computational Mechanics 36 (1) 45 (2005)
DOI: 10.1007/s00466-004-0641-6
See this article
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)
DOI: 10.1007/978-3-319-96415-7_36
See this article
Non-matching mesh gluing by meshless interpolation—an alternative to Lagrange multipliers
Rong Tian and Genki Yagawa
International Journal for Numerical Methods in Engineering 71 (4) 473 (2007)
DOI: 10.1002/nme.1961
See this article
A Lagrange multiplier method for the finite element solution of elliptic interface problems using non-matching meshes
Peter Hansbo, Carlo Lovadina, Ilaria Perugia and Giancarlo Sangalli
Numerische Mathematik 100 (1) 91 (2005)
DOI: 10.1007/s00211-005-0587-4
See this article
The Fourier-Nitsche-mortaring for elliptic problems with reentrant edges
B. Heinrich and B. Jung
Computing 80 (3) 221 (2007)
DOI: 10.1007/s00607-007-0226-2
See this article
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)
DOI: 10.1007/s00211-018-0950-x
See this article
A localized mixed-hybrid method for imposing interfacial constraints in the extended finite element method (XFEM)
A. Zilian and T.-P. Fries
International Journal for Numerical Methods in Engineering 79 (6) 733 (2009)
DOI: 10.1002/nme.2596
See this article
The penalty method for grid matching in mixed finite element methods
L. V. Maslovskaya and O. M. Maslovskaya
Russian Mathematics 53 (3) 29 (2009)
DOI: 10.3103/S1066369X09030025
See this article
Mortar method for matching grids in a mixed scheme as applied to the biharmonic equation
L. V. Maslovskaya and O. M. Maslovskaya
Computational Mathematics and Mathematical Physics 49 (4) 657 (2009)
DOI: 10.1134/S0965542509040101
See this article
Adaptive finite element approximations on nonmatching grids for second-order elliptic problems
Hongsen Chen, Richard E. Ewing and Guan Qin
Numerical Methods for Partial Differential Equations NA (2009)
DOI: 10.1002/num.20455
See this article
A penalty method for grid matching in the mixed Herrmann-Miyoshi scheme
L. V. Maslovskaya and O. M. Maslovskaya
Numerical Analysis and Applications 2 (3) 236 (2009)
DOI: 10.1134/S1995423909030057
See this article
Numerical Mathematics and Advanced Applications
Bernd Heinrich and Beate Jung
Numerical Mathematics and Advanced Applications 467 (2006)
DOI: 10.1007/978-3-540-34288-5_42
See this article
The Nitsche mortar method for matching grids in a mixed finite element method
L. V. Maslovskaya and O. M. Maslovskaya
Russian Mathematics 54 (4) 15 (2010)
DOI: 10.3103/S1066369X10040031
See this article
Anisotropica posteriori error estimation for the mixed discontinuous Galerkin approximation of the Stokes problem
Emmanuel Creusé and Serge Nicaise
Numerical Methods for Partial Differential Equations 22 (2) 449 (2006)
DOI: 10.1002/num.20107
See this article
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)
DOI: 10.1007/s12190-018-1199-3
See this article
BAIL 2008 - Boundary and Interior Layers
Paolo Zunino
Lecture Notes in Computational Science and Engineering, BAIL 2008 - Boundary and Interior Layers 69 295 (2009)
DOI: 10.1007/978-3-642-00605-0_25
See this article
Spectral and High Order Methods for Partial Differential Equations
Alexey Chernov and Peter Hansbo
Lecture Notes in Computational Science and Engineering, Spectral and High Order Methods for Partial Differential Equations 76 153 (2011)
DOI: 10.1007/978-3-642-15337-2_12
See this article
Error analysis of Nitsche’s mortar method
Tom Gustafsson, Rolf Stenberg and Juha Videman
Numerische Mathematik 142 (4) 973 (2019)
DOI: 10.1007/s00211-019-01039-5
See this article
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)
DOI: 10.1016/j.cma.2019.02.009
See this article
Frontiers in Numerical Analysis - Durham 2010
Erik Burman and Paolo Zunino
Lecture Notes in Computational Science and Engineering, Frontiers in Numerical Analysis - Durham 2010 85 227 (2011)
DOI: 10.1007/978-3-642-23914-4_4
See this article
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)
DOI: 10.1186/s40323-018-0103-x
See this article
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)
DOI: 10.1016/j.cma.2020.113420
See this article
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)
DOI: 10.1016/j.cma.2018.09.009
See this article
The Dune framework: Basic concepts and recent developments
Peter Bastian, Markus Blatt, Andreas Dedner, et al.
Computers & Mathematics with Applications 81 75 (2021)
DOI: 10.1016/j.camwa.2020.06.007
See this article
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)
DOI: 10.1007/s00466-020-01841-1
See this article
On Nitsche's Method for Elastic Contact Problems
Tom Gustafsson, Rolf Stenberg and Juha Videman
SIAM Journal on Scientific Computing 42 (2) B425 (2020)
DOI: 10.1137/19M1246869
See this article
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)
DOI: 10.1016/j.camwa.2016.02.035
See this article
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)
DOI: 10.1016/j.jcp.2019.06.066
See this article
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)
DOI: 10.1515/cmam-2017-0011
See this article
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)
DOI: 10.1137/19M1306750
See this article
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)
DOI: 10.1049/el.2019.1010
See this article
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)
DOI: 10.1016/j.cma.2021.113771
See this article
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)
DOI: 10.1016/j.cma.2016.09.025
See this article
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)
DOI: 10.1016/j.cma.2019.02.038
See this article
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)
DOI: 10.1016/j.cma.2019.01.035
See this article
Thermoelasticity at finite strains with weak and strong discontinuities
Arif Masud and Pinlei Chen
Computer Methods in Applied Mechanics and Engineering 347 1050 (2019)
DOI: 10.1016/j.cma.2018.12.024
See this article
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)
DOI: 10.1016/j.apnum.2021.04.012
See this article
A mixed finite element method for Darcy flow in fractured porous media with non-matching grids
Carlo D’Angelo and Anna Scotti
ESAIM: Mathematical Modelling and Numerical Analysis 46 (2) 465 (2012)
DOI: 10.1051/m2an/2011148
See this article
Translational surface coupling along a line with non-conforming meshes
Alexandros N. Nordas and Bassam A. Izzuddin
Computers & Structures 260 106703 (2022)
DOI: 10.1016/j.compstruc.2021.106703
See this article
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)
DOI: 10.1515/cmam-2018-0314
See this article
A Nitsche Hybrid Multiscale Method with Non-matching Grids
Pingbing Ming and Siqi Song
Journal of Scientific Computing 91 (2) (2022)
DOI: 10.1007/s10915-022-01817-8
See this article
Conservation of Forces and Total Work at the Interface Using the Internodes Method
Simone Deparis and Paola Gervasio
Vietnam Journal of Mathematics (2022)
DOI: 10.1007/s10013-022-00560-9
See this article
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)
DOI: 10.1109/TCPMT.2022.3167651
See this article
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, Frits de Prenter, Ferdinando Auricchio, Alessandro Reali, E Harald van Brummelen and Clemens V Verhoosel
Journal of Mechanics 38 204 (2022)
DOI: 10.1093/jom/ufac015
See this article
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, Pedro R. Cleto, Michael A. Maedo and Luís A.G. Bitencourt
Computer Methods in Applied Mechanics and Engineering 386 114112 (2021)
DOI: 10.1016/j.cma.2021.114112
See this article
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)
DOI: 10.1016/j.cma.2017.05.018
See this article