Domain decomposition methods in Feel++

Abdoulaye Samake (1) , Vincent Chabannes (2) , Christophe Picard (1) , Christophe Prud'Homme (3)

1 LJK - Laboratoire Jean Kuntzmann
2 EDP - Equations aux Dérivées Partielles
3 IRMA - Institut de Recherche Mathématique Avancée

This paper presents our ongoing work on building a versatile domain decomposition methods framework in Feel++ that provides expressivity (e.g. closeness to the mathematical language) and efficiency. We display in particular the capabilities of Feel++ regarding Schwarz (non)overlapping and mortar methods. Some numerical tests and code snippets, taken from Feel++, support the explanations.

Mots clés: Domain decomposition; Schwarz methods; mortar method; parallel computing; Feel++

Domaines: Calcul parallèle, distribué et partagé [cs.DC]; Equations aux dérivées partielles [math.AP]

Abdoulaye Samake, Vincent Chabannes, Christophe Picard, Christophe Prud'Homme. Domain decomposition methods in Feel++. 2012. ⟨hal-00762321v1⟩