Multiscale analysis of structures using overlapping nonlinear patches

Julien Pebrel (1) , Pierre Gosselet (1) , Christian Rey (1)

1 LMT - Laboratoire de Mécanique et Technologie

We present here a computational strategy based on overlapping domain decomposition methods. The decomposition is introduced via a partition of the unity applied to the energy. The coupling conditions are imposed via an Augmented Lagrangian on the Sobolev space H1. The nonlinear problem is then condensed on the interface using a nonlinear Schur complement and the interface problem is solved by a Newton-Raphson method.

Mots clés: overlapping domain decomposition; augmented lagrangian; multimodel problems

Domaines: Mécanique des structures [physics.class-ph]

Julien Pebrel, Pierre Gosselet, Christian Rey. Multiscale analysis of structures using overlapping nonlinear patches. Coupled Problems 2007 - 2d International Conference on Computational Methods for Coupled problems in Science and Engineering, May 2007, Ibiza, Spain. pp.453-456. ⟨hal-00344796⟩