Geodesic
A Parallel Implementation of the Mortar Element Method in 2D and 3D
A. Samake1 ; S. Bertoluzza2 ; M. Pennacchio2 ; C. Prud’homme3 ; C. Zaza4
1 Université Joseph Fourier Grenoble 1, / CNRS, Laboratoire Jean Kuntzmann / UMR 5224. Grenoble, F-38041, France
2 IMATI CNR Italy,
3 Université de Strasbourg / CNRS, IRMA / UMR 7501. Strasbourg, F-67000, France,
4 Commissariat à l’Energie Atomique, DEN/DANS/DM2S/STMF/LMEC. CEA Cadarache, 13108 Saint Paul lez Durance, France.
ESAIM. Proceedings, Tome 43 (2013), pp. 213-224.

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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.
DOI : 10.1051/proc/201343014

A. Samake 1 ; S. Bertoluzza 2 ; M. Pennacchio 2 ; C. Prud’homme 3 ; C. Zaza 4

1 Université Joseph Fourier Grenoble 1, / CNRS, Laboratoire Jean Kuntzmann / UMR 5224. Grenoble, F-38041, France
2 IMATI CNR Italy,
3 Université de Strasbourg / CNRS, IRMA / UMR 7501. Strasbourg, F-67000, France,
4 Commissariat à l’Energie Atomique, DEN/DANS/DM2S/STMF/LMEC. CEA Cadarache, 13108 Saint Paul lez Durance, France. 
@article{EP_2013_43_a14,
     author = {A. Samake and S. Bertoluzza and M. Pennacchio and C. Prud{\textquoteright}homme and C. Zaza},
     title = {A {Parallel} {Implementation} of the {Mortar} {Element} {Method} in {2D} and {3D}},
     journal = {ESAIM. Proceedings},
     pages = {213--224},
     publisher = {mathdoc},
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     year = {2013},
     doi = {10.1051/proc/201343014},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/proc/201343014/}
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A. Samake; S. Bertoluzza; M. Pennacchio; C. Prud’homme; C. Zaza. A Parallel Implementation of the Mortar Element Method in 2D and 3D. ESAIM. Proceedings, Tome 43 (2013), pp. 213-224. doi : 10.1051/proc/201343014. http://geodesic.mathdoc.fr/articles/10.1051/proc/201343014/

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