On a mixed and multiscale domain decomposition method

Pierre Ladevèze (1) , David Néron (1) , Pierre Gosselet (1)

1 LMT - Laboratoire de Mécanique et Technologie

This paper presents a reexamination of a multiscale computational strategy with homogenization in space and time for the resolution of highly heterogeneous structural problems, focusing on its suitability for parallel computing. Spatially, this strategy can be viewed as a mixed, multilevel domain decomposition method (or, more accurately, as a “structure decomposition” method). Regarding time, a “parallel” property is also described. We also draw bridges between this and other current approaches.

Mots clés: Domain decomposition; Multiscale; Computational mechanics

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

Pierre Ladevèze, David Néron, Pierre Gosselet. On a mixed and multiscale domain decomposition method. Computer Methods in Applied Mechanics and Engineering, 2006, 196 (8), pp.1526-1540. ⟨10.1016/j.cma.2006.05.014⟩. ⟨hal-00277619⟩