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Communication Dans Un Congrès Année : 2013

Domain decomposition methods in structural mechanics

Résumé

In this lecture, multiscale computational strategies by nonoverlapping domain decomposition methods (DDM) are presented. Firstly, the basics of the primal, dual and mixed approaches are described for linear elastic problems under their continuous and discretized formulations. Secondly, iterative strategies either based on Krylov solvers (e.g. conjugate gradient) or on two-search-directions algorithms (e.g. UZAWA-like algorithms) used to solve the resulting interface problem in parallel computing are described. In particular, the introduction of a coarse problem (preconditioning technique or reduced interface problem) to endow the DDM with the scalability property (i.e. no convergence rate dependency on the number of subdomains) is detailed. FETI, BDD and LaTin-based mixed DDM are described. Finally, general notions and approaches to address nonlinear problems with DDM are given. Applications in the simulation of contact mechanics, multilayered composite structures, and post-buckling analysis are shown to illustrate current scientific challenges.
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hal-02977861 , version 1 (26-10-2020)

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  • HAL Id : hal-02977861 , version 1

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Pierre-Alain Guidault. Domain decomposition methods in structural mechanics. IRTG 1627 ViVaCE - Student Workshop, Feb 2013, Kitzbühel, Austria. ⟨hal-02977861⟩
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