New constructions of domain decomposition methods for systems of PDEs

Victorita Dolean (1) , Frédéric Nataf (1) , Gerd Rapin (2)

1 CMAP - Centre de Mathématiques Appliquées - Ecole Polytechnique
2 NAM - Mathematics Department [Gottingen]

We propose new domain decomposition methods for systems of partial differential equations in two and three dimensions. The algorithms are derived with the help of the Smith factorization of the operator. This could also be validated by numerical experiments.

Mots clés: domain decomposition method; smith factorization; Euler equations; Stokes equations; Oseen equations

Domaines: Analyse numérique [math.NA]; Autre; Mécanique des fluides [physics.class-ph]; Mécanique des structures [physics.class-ph]

Victorita Dolean, Frédéric Nataf, Gerd Rapin. New constructions of domain decomposition methods for systems of PDEs. C.R. Acad. Sci. Paris, 2005, Ser. I 340, pp.693-696. ⟨hal-00004327⟩