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All issues ESAIM: M2AN, 37 2 (2003) 209-225 Article references

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A variant of Nitsche's method

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Comptes Rendus Mathematique 356 (11-12) 1236 (2018)
DOI: 10.1016/j.crma.2018.11.002
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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