On multiscale computational mechanics with time-space homogenization

Pierre Ladevèze (1, 2) , David Néron (1) , Jean-Charles Passieux (1)

1 LMT - Laboratoire de Mécanique et Technologie
2 Chaire de la Fondation EADS 'Techniques Avancées en Calcul des Structures'

The chapter deals with multiple scales in both space and time. First, the state-of-the-art is presented. Then, we discuss a family of computational approaches using time-space homogenization. Emphasis is put on the time aspects.

Mots clés: multiscale in time and space; domain decomposition; LATIN; homogenization; parallel computing; proper orthogonal decomposition

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

Pierre Ladevèze, David Néron, Jean-Charles Passieux. On multiscale computational mechanics with time-space homogenization. Jacob Fish. Multiscale methods - Bridging the scales in Science and Engineering, Oxford University Press (UK), pp.247-282, 2010, 978-0-19-923385-4. ⟨10.1093/acprof:oso/9780199233854.003.0009⟩. ⟨hal-00708499⟩