A Parallel Implementation of the Mortar Element Method in 2D and 3D

Abdoulaye Samake (1, 2) , Silvia Bertoluzza (3) , Micol Pennacchio (4) , Christophe Prud'Homme (2) , Chady Zaza (5)

1 EDP - Equations aux Dérivées Partielles
2 IRMA - Institut de Recherche Mathématique Avancée
3 Istituto di Matematica Applicata e Tecnologie Informatiche del C.N.R.
4 IMATI - Istituto di Matematica Applicata e Tecnologie Informatiche
5 CEA Cadarache

We present here the generic parallel computational framework in C++ called Feel++ for the mortar finite element method with the arbitrary number of subdomain partitions in 2D and 3D. An iterative method with block-diagonal preconditioners is used for solving the algebraic saddle-point problem arising from the finite element discretization. Finally we present a scalability study and the numerical results obtained using Feel++ library.

Mots clés: mortar method; parallel computing; Domain decomposition

Domaines: Equations aux dérivées partielles [math.AP]

Abdoulaye Samake, Silvia Bertoluzza, Micol Pennacchio, Christophe Prud'Homme, Chady Zaza. A Parallel Implementation of the Mortar Element Method in 2D and 3D. ESAIM: Proceedings, 2013, 43, pp.213-224. ⟨10.1051/proc/201343014⟩. ⟨hal-00786554⟩