Overlapping and non-overlapping domain decomposition methods for large-scale meshless EFG simulations

Metsis, P; Papadrakakis, M

dc.contributor.author	Metsis, P	en
dc.contributor.author	Papadrakakis, M	en
dc.date.accessioned	2014-03-01T02:11:52Z
dc.date.available	2014-03-01T02:11:52Z
dc.date.issued	2012	en
dc.identifier.issn	00457825	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/29969
dc.subject	Domain decomposition	en
dc.subject	EFG	en
dc.subject	FETI	en
dc.subject	Meshless	en
dc.subject	Solution algorithms	en
dc.subject.other	Domain decompositions	en
dc.subject.other	EFG	en
dc.subject.other	FETI	en
dc.subject.other	Meshless	en
dc.subject.other	Solution algorithms	en
dc.subject.other	Computational mechanics	en
dc.subject.other	Crack propagation	en
dc.subject.other	Domain decomposition methods	en
dc.subject.other	Algebra	en
dc.title	Overlapping and non-overlapping domain decomposition methods for large-scale meshless EFG simulations	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.cma.2012.03.012	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.cma.2012.03.012	en
heal.publicationDate	2012	en
heal.abstract	Meshless methods have a number of virtues in problems concerning crack growth and propagation, strain localization, dynamic shear band propagation, projectile penetration, among others. The main drawback of such methods is that the resulting matrices are more densely populated and the computational cost for the formulation and solution of the problem is much higher than the conventional FEM. This is the reason for their limited application to academic and small-scale problems until now. In this paper, we introduce a novel approach for reducing the computational cost of meshless element free Galerkin (EFG) methods by employing domain decomposition techniques on the physical as well as on the algebraic domains. Specifically, we propose the implementation of the dual domain decomposition FETI family of methods that have been successfully used with FEM in many problems in computational mechanics. We address the issues of dividing an overlapping meshfree EFG domain to several overlapping subdomains, following the algebraic decomposition of the FETI method and alternatively on non-overlapping subdomains by modifying the required displacement compatibility conditions and by improving the accuracy of the solution through a stress update procedure. © 2012 Elsevier B.V.	en
heal.journalName	Computer Methods in Applied Mechanics and Engineering	en
dc.identifier.doi	10.1016/j.cma.2012.03.012	en
dc.identifier.volume	229-232	en
dc.identifier.spage	128	en
dc.identifier.epage	141	en