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A numerically scalable dual-primal substructuring method for the solution of contact problems––part I: the frictionless case by Philip Avery; Gert Rebel; Michel Lesoinne; Charbel Farhat is a Engineering article available to read on EtoBox.

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We present a dual-primal non-linear domain decomposition method with Lagrange multipliers for solving iteratively frictionless contact problems. This method, which is based on the FETI FETI -DP substructuring algorithm, features a nonlinear Krylov-type acceleration scheme. It addresses both cases of restrained and unrestrained bodies. When the bodies in contact behave linearly, it does not perform any Newton-like iteration to solve the non-linear contact problem. We present performance results for several numerical simulations which suggest that the proposed method is numerically scalable with respect to both the problem size and the number of subdomains. We also illustrate the parallel scalability of this method on a cluster of Silicon Graphics systems for a three-million degree of freedom static contact problem.

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Author

Philip Avery; Gert Rebel; Michel Lesoinne; Charbel Farhat

Publisher

Elsevier Science; Elsevier ; Elsevier BV (ISSN 0045-7825)

Published

2004

Language

EN

Field

Engineering (Physical Sciences)