Construction du préconditionneur Neumann-Neumann de décomposition de domaine de niveau 2 pour des problèmes élastodynamiques en grandes déformations

In this Note, we present the construction of a Neumann-Neumann domain decomposition preconditioner with scalability properties to solve nonlinear elastostatic and elastodynamic problems. By using the results given in Alart et al. [C. R. Acad. Sci. Paris, Ser. I 331 (2000) 399-404] and according to the work realized in Farhat et al. [Int. J. Numer. Methods Engrg. 38 (1995) 3831-3853] and Fragakis and Papadrakakis [Comput. Methods Appl. Mech. Engrg. 193 (2004) 4611-4662], we give the construction steps of the two level preconditioner which are based on the introduction of a coarse space especially adapted to finite deformations problems with static and dynamic process. To cite this article: M. Barboteu, C. R. Acad. Sci. Paris, Ser. I 340 (2005).