Domain decomposition method and elastic multistructures : the stiffened plate problem

Abstract : Domain decomposition methods allow faster solution of partial differential equations in many cases. The efficiency of these methods mainly depends on the variables and operators chosen for the coupling between the subdomains, it is the preconditioning problem. In the modeling of multistructures, the partial differential equations have some specific properties that must be taken into account in a domain decomposition method. Different kinds of elliptic problems modeling stiffened plates in linearized elasticity are compared. One of them is remarkable as far as domain decomposition is concerned, since it is possible to associate particularly efficient preconditioner. A theoretical estimate for the conditioning is given, which is confirmed by several numerical experiments.
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Rapport
[Research Report] RR-1800, INRIA. 1992
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https://hal.inria.fr/inria-00074874
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Soumis le : mercredi 24 mai 2006 - 16:40:27
Dernière modification le : vendredi 25 mai 2018 - 12:02:05
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Frédéric D'Hennezel. Domain decomposition method and elastic multistructures : the stiffened plate problem. [Research Report] RR-1800, INRIA. 1992. 〈inria-00074874〉

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