Non-intrusive Coupling: Recent Advances and Scalable Nonlinear Domain Decomposition

作者: Mickaël Duval , Jean-Charles Passieux , Michel Salaün , Stéphane Guinard

DOI: 10.1007/S11831-014-9132-X

关键词:

摘要: This paper provides a detailed review of the global/local non-intrusive coupling algorithm. Such method allows to alter global finite element model, without actually modifying its corresponding numerical operator. We also look into improvements initial algorithm (Quasi-Newton and dynamic relaxation), provide comparisons based on several relevant test cases. Innovative examples advanced applications are provided, granting handy framework for both researchers engineers willing make use such process. Finally, novel nonlinear domain decomposition is derived from strategy, need parallel code or software. being intended large scale analysis, we show scalability. Jointly, an efficient high level Message Passing Interface proposed, universal flexible way easy software coupling. A sample given.

参考文章(85)
J. Pebrel, Christian Rey, P. Gosselet, A Nonlinear Dual-Domain Decomposition Method: Application to Structural Problems with Damage International Journal for Multiscale Computational Engineering. ,vol. 6, pp. 251- 262 ,(2008) , 10.1615/INTJMULTCOMPENG.V6.I3.50
Lionel Gendre, Olivier Allix, Pierre Gosselet, François Comte, Non-intrusive and exact global/local techniques for structural problems with local plasticity Computational Mechanics. ,vol. 44, pp. 233- 245 ,(2009) , 10.1007/S00466-009-0372-9
Y.J. Liu, Q. Sun, X.L. Fan, A non-intrusive global/local algorithm with non-matching interface: Derivation and numerical validation Computer Methods in Applied Mechanics and Engineering. ,vol. 277, pp. 81- 103 ,(2014) , 10.1016/J.CMA.2014.04.012
Elie Chahine, Patrick Laborde, Yves Renard, Spider XFEM: an extended finite element variant for partially unknown crack-tip displacement European Journal of Computational Mechanics. ,vol. 17, pp. 625- 636 ,(2008) , 10.3166/REMN.17.625-636
Itio Hirai, Bo Ping Wang, Walter D. Pilkey, An efficient zooming method for finite element analysis International Journal for Numerical Methods in Engineering. ,vol. 20, pp. 1671- 1683 ,(1984) , 10.1002/NME.1620200910
Marco Picasso, Jacques Rappaz, Vittoria Rezzonico, Multiscale algorithm with patches of finite elements Communications in Numerical Methods in Engineering. ,vol. 24, pp. 477- 491 ,(2007) , 10.1002/CNM.1019
B. Herry, L. Di Valentin, A. Combescure, An approach to the connection between subdomains with non‐matching meshes for transient mechanical analysis International Journal for Numerical Methods in Engineering. ,vol. 55, pp. 973- 1003 ,(2002) , 10.1002/NME.538
J.M. Melenk, I. Babuška, The partition of unity finite element method: Basic theory and applications Computer Methods in Applied Mechanics and Engineering. ,vol. 139, pp. 289- 314 ,(1996) , 10.1016/S0045-7825(96)01087-0
H. Fayez Khalfan, R. H. Byrd, R. B. Schnabel, A Theoretical and Experimental Study of the Symmetric Rank-One Update Siam Journal on Optimization. ,vol. 3, pp. 1- 24 ,(1990) , 10.1137/0803001