On the L2 and the H1 couplings for an overlapping domain decomposition method using Lagrange multipliers

Keywords

Lagrange multiplier, Domain decomposition methods, Coupling (piping), Cantilever, Constraint algorithm

References

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• The three‐field formulation for elasticity problemsFranco Brezzi, L. D. Marini — 2005
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• The Arlequin method as a flexible engineering design toolH. Ben Dhia, Guillaume Rateau — 2005
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• Application of the Arlequin method to some structures with defectsHachmi Ben Dhia, Guillaume Rateau — 2002
• Mechanics of defects in carbon nanotubes: Atomistic and multiscale simulationsSulin Zhang, Steven L. Mielke, Roopam Khare — 2005
• New concepts for linear beam theory with arbitrary geometry and loadingPierre Ladevèze, J. G. Simmonds — 1998
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Cited by

• Propagation numérique de zones critiques dans un pneumatique par approches multi-modèlesOlivier Jamond — 2011
• Local FEM Analysis of Composite Beams and Plates : free-Edge effect and Incompatible Kinematics CouplingChristian Wenzel — 2014
• Contributions à la modélisation avancée des machines tournantes en dynamique transitoire dans le cadre ArlequinAssaf Ghanem — 2013
• Approches numérique multi-échelle/multi-modèle de la dégradation des matériaux compositesJ. Touzeau — 2012
• Modelling-based design of anisotropic piezocomposite transducers and multi-domain analysis of smart structuresFabio Biscani — 2012
• Approche globale / locale non-intrusive : application aux structures avec plasticité localiséeLionel Gendre — 2009
• On Determining Continuum Quantities of Non-Equilibrium Processes via Molecular Dynamics SimulationsYao Fu — 2013
• Variable kinematic plate elements coupled via Arlequin methodFabio Biscani, Gaetano Giunta, Salim Belouettar — 2012
• Coupling of nonlocal and local continuum models by the Arlequin approachFei Han, Gilles Lubineau — 2012
• An enhanced bridging domain method for linking atomistic and continuum domainsAlireza Tabarraei, Xiuli Wang Xiuli Wang, Alireza Sadeghirad — 2014
• An adaptive multiscale method for quasi-static crack growthP. R. Budarapu, Robert Gracie, Stéphane Bordas — 2014
• A comparison of staggered solution schemes for coupled particle–continuum systems modeled with the Arlequin methodSebastian Pfaller, Gunnar Possart, Paul Steinmann — 2012
• Concurrently coupled atomistic and XFEM models for dislocations and cracksRobert Gracie, Ted Belytschko — 2009
• On Atomistic-to-Continuum Coupling by BlendingSantiago Badia, Michael L. Parks, Pavel Bochev — 2008
• On the use of XFEM within the Arlequin framework for the simulation of crack propagationHachmi Ben Dhia, Olivier Jamond — 2010
• Further Insights by Theoretical Investigations of the Multiscale Arlequin MethodHachmi Ben Dhia — 2008
• Geometrically consistent approximations of the energy for the transition between nonlocal and local discrete modelsJérémy Marchais, Christian Rey, Ludovic Chamoin — 2014
• Bridging techniques in a multi-scale modeling of pattern formationFan Xu, Heng Hu, Michel Potier‐Ferry — 2014
• Energy conservation of atomistic/continuum couplingPascal Aubertin, Julien Réthoré, René de Borst — 2009
• A damping boundary condition for coupled atomistic–continuum simulationsAlireza Sadeghirad, Alireza Tabarraei — 2013

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