High performance domain decomposition methods on massively parallel architectures with FreeFEM++

Pierre Jolivet (1, 2) , Victorita Dolean (3) , Frédéric Hecht (1) , Frédéric Nataf (1) , Christophe Prud'Homme (4, 2) , Nicole Spillane (1)

1 ALPINES - Algorithms and parallel tools for integrated numerical simulations
2 EDP - Equations aux Dérivées Partielles
3 LJAD - Laboratoire Jean Alexandre Dieudonné
4 IRMA - Institut de Recherche Mathématique Avancée

In this document, we present a parallel implementation in Freefem++ of scalable two-level domain decomposition methods. Numerical studies with highly heterogeneous problems are then performed on large clusters in order to assert the performance of our code.

Mots clés: domain decomposition methods; high performance computing; freefem++

Domaines: Analyse numérique [math.NA]

Pierre Jolivet, Victorita Dolean, Frédéric Hecht, Frédéric Nataf, Christophe Prud'Homme, et al.. High performance domain decomposition methods on massively parallel architectures with FreeFEM++. Journal of Numerical Mathematics, 2012, 20 (3-4), pp.287-302. ⟨10.1515/jnum-2012-0015⟩. ⟨hal-00835298⟩