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A two‐scale approximation of the Schur complement and its use for non‐intrusive coupling

2011; Wiley; Volume: 87; Issue: 9 Linguagem: Inglês

10.1002/nme.3142

1097-0207

Luc Gendre, O. Allix, Pierre Gosselet,

Composite Structure Analysis and Optimization

Abstract This paper presents a two‐scale approximation of the Schur complement of a subdomain's stiffness matrix, obtained by combining local (i.e. element strips) and global (i.e. homogenized) contributions. This approximation is used in the context of a coupling strategy that is designed to embed local plasticity and geometric details into a small region of a large linear elastic structure; the strategy consists in creating a local model that contains the desired features of the concerned region and then substituting it into the global problem by the means of a non‐intrusive solver coupling technique adapted from domain decomposition methods. Using the two‐scale approximation of the Schur complement as a Robin condition on the local model enables to reach high efficiency. Examples include a large 3D problem provided by our industrial partner Snecma. Copyright © 2011 John Wiley & Sons, Ltd.