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Nitsche method for contact with Coulomb friction: Existence results for the static and dynamic finite element formulations
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Residual-based error estimation and adaptivity for stabilized immersed isogeometric analysis using truncated hierarchical B-splines
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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
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
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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) https://doi.org/10.1016/j.cma.2020.113129
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Tom Gustafsson, Rolf Stenberg and Juha Videman SIAM Journal on Scientific Computing 42(2) B425 (2020) https://doi.org/10.1137/19M1246869
Adaptive refinement for phase-field models of brittle fracture based on Nitsche’s method
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
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
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
Mixed-dimensional coupling for time-dependent wave problems using the Nitsche method
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
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
Multimesh finite element methods: Solving PDEs on multiple intersecting meshes
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
An unbiased Nitsche’s approximation of the frictional contact between two elastic structures
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
Soft and hard interface models for bonded elements
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
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
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
Modeling Beam–Solid Finite Element Interfaces: A Stabilized Formulation for Contact and Coupled Systems
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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
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Towards nonlinear imperfect interface models including micro-cracks and smooth roughness
Optimal trace inequality constants for interior penalty discontinuous Galerkin discretisations of elliptic operators using arbitrary elements with non-constant Jacobians
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
The domain interface method in non-conforming domain decomposition multifield problems
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
Asynchronous space–time algorithm based on a domain decomposition method for structural dynamics problems on non-matching meshes
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
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
Substructuring preconditioners for an $$h$$ h - $$p$$ p domain decomposition method with interior penalty mortaring
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
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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
A non-matching finite element-scaled boundary finite element coupled method for linear elastic crack propagation modelling
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
Coupling discontinuous Galerkin discretizations using mortar finite elements for advection–diffusion–reaction problems
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
Explicit Coupling Schemes for a Fluid-Fluid Interaction Problem Arising in Hemodynamics
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A Nitsche-Based Method for Unilateral Contact Problems: Numerical Analysis
A Direct Domain-Decomposition-Based Time- Domain Finite-Element Method of Linear Complexity for Simulating Multiscaled Structures in Integrated Circuit Systems
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
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