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DOI: 10.1007/s11831-018-9285-0
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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
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DOI: 10.1007/s00466-004-0641-6
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DOI: 10.1007/978-3-319-96415-7_36
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Rong Tian and Genki Yagawa
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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

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DOI: 10.1007/s00211-005-0587-4
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The Fourier-Nitsche-mortaring for elliptic problems with reentrant edges

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DOI: 10.1007/s00607-007-0226-2
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An unbiased Nitsche’s approximation of the frictional contact between two elastic structures

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DOI: 10.1007/s00211-018-0950-x
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DOI: 10.1002/nme.2596
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The penalty method for grid matching in mixed finite element methods

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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

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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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A penalty method for grid matching in the mixed Herrmann-Miyoshi scheme

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Numerical Analysis and Applications 2 (3) 236 (2009)
DOI: 10.1134/S1995423909030057
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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

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Russian Mathematics 54 (4) 15 (2010)
DOI: 10.3103/S1066369X10040031
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Anisotropica posteriori error estimation for the mixed discontinuous Galerkin approximation of the Stokes problem

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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

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Journal of Applied Mathematics and Computing 59 (1-2) 723 (2019)
DOI: 10.1007/s12190-018-1199-3
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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

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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

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DOI: 10.1007/s00211-019-01039-5
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Mixed-dimensional coupling for time-dependent wave problems using the Nitsche method

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DOI: 10.1016/j.cma.2019.02.009
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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

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Advanced Modeling and Simulation in Engineering Sciences 5 (1) (2018)
DOI: 10.1186/s40323-018-0103-x
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Multimesh finite elements with flexible mesh sizes

August Johansson, Mats G. Larson and Anders Logg
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DOI: 10.1016/j.cma.2020.113420
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Multimesh finite element methods: Solving PDEs on multiple intersecting meshes

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DOI: 10.1016/j.cma.2018.09.009
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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
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DOI: 10.1016/j.cma.2021.114112
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DOI: 10.1016/j.camwa.2020.06.007
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Adaptive refinement for phase-field models of brittle fracture based on Nitsche’s method

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DOI: 10.1007/s00466-020-01841-1
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DOI: 10.1137/19M1246869
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DOI: 10.1016/j.camwa.2016.02.035
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A massively-parallel, unstructured overset method to simulate moving bodies in turbulent flows

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Journal of Computational Physics 397 108790 (2019)
DOI: 10.1016/j.jcp.2019.06.066
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DOI: 10.1515/cmam-2017-0011
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Overlapping Multipatch Isogeometric Method with Minimal Stabilization

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SIAM Journal on Scientific Computing 43 (1) A330 (2021)
DOI: 10.1137/19M1306750
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Analysis of electrostatic and static magnetic field problems by advanced domain decomposition method

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Electronics Letters 55 (13) 737 (2019)
DOI: 10.1049/el.2019.1010
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Isogeometric multi-patch analyses for mixed thin shells in the framework of non-linear elasticity

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DOI: 10.1016/j.cma.2021.113771
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Galerkin least squares finite element method for the obstacle problem

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Computer Methods in Applied Mechanics and Engineering 313 362 (2017)
DOI: 10.1016/j.cma.2016.09.025
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A polytree based coupling method for non-matching meshes in 3D

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Computer Methods in Applied Mechanics and Engineering 349 743 (2019)
DOI: 10.1016/j.cma.2019.02.038
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Weak impositions of Dirichlet boundary conditions in solid mechanics: A critique of current approaches and extension to partially prescribed boundaries

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Computer Methods in Applied Mechanics and Engineering 348 632 (2019)
DOI: 10.1016/j.cma.2019.01.035
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Thermoelasticity at finite strains with weak and strong discontinuities

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Computer Methods in Applied Mechanics and Engineering 347 1050 (2019)
DOI: 10.1016/j.cma.2018.12.024
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Decoupled modified characteristic finite element method with different subdomain time steps for nonstationary dual–porosity–Navier–Stokes model

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Applied Numerical Mathematics 166 238 (2021)
DOI: 10.1016/j.apnum.2021.04.012
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A mixed finite element method for Darcy flow in fractured porous media with non-matching grids

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ESAIM: Mathematical Modelling and Numerical Analysis 46 (2) 465 (2012)
DOI: 10.1051/m2an/2011148
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