Geodesic
Lagrangian method enhanced with edge swapping for the free fall and contact problem
Étienne Bernard1 ; Stéphane Del Pino2 ; Erwan Deriaz3 ; Bruno Després4 ; Katerina Jurkova5 ; Frédéric Lagoutière6
1 Université Paris-Diderot (Paris 7) and Laboratoire Jacques-Louis Lions (CNRS UMR 7598), 175, rue du Chevaleret, 75013 Paris, France (bernard@ann.jussieu.fr)
2 CEA/DIF, 91680 Bruyères-le-Châtel, France (stephane.delpino@cea.fr)
3 Institute of Mathematics, Polish Academy of Sciences. ul. Sniadeckich 8, 00-956 Warszawa, Poland (E.Deriaz@impan.gov.pl)
4 CEA/DIF, 91680 Bruyères-le-Châtel, France (bruno.despres@cea.fr)
5 Technical University of Liberec (katerina.jurkova@tul.cz)
6 Université Paris-Diderot (Paris 7) and Laboratoire Jacques-Louis Lions (CNRS UMR 7598), 175, rue du Chevaleret, 75013 Paris, France (lagoutie@math.jussieu.fr)
ESAIM. Proceedings, Tome 24 (2008), pp. 46-59.

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We discuss various algorithms that one can use in conjunction with Lagrangian methods for the treatment of important deformation of the mesh. We develop a new contact algorithm. The free fall of a droplet of fluid in a light gas serves to illustrate the potentialities of these techniques.
DOI : 10.1051/proc:2008029

Étienne Bernard 1 ; Stéphane Del Pino 2 ; Erwan Deriaz 3 ; Bruno Després 4 ; Katerina Jurkova 5 ; Frédéric Lagoutière 6

1 Université Paris-Diderot (Paris 7) and Laboratoire Jacques-Louis Lions (CNRS UMR 7598), 175, rue du Chevaleret, 75013 Paris, France (bernard@ann.jussieu.fr)
2 CEA/DIF, 91680 Bruyères-le-Châtel, France (stephane.delpino@cea.fr)
3 Institute of Mathematics, Polish Academy of Sciences. ul. Sniadeckich 8, 00-956 Warszawa, Poland (E.Deriaz@impan.gov.pl)
4 CEA/DIF, 91680 Bruyères-le-Châtel, France (bruno.despres@cea.fr)
5 Technical University of Liberec (katerina.jurkova@tul.cz)
6 Université Paris-Diderot (Paris 7) and Laboratoire Jacques-Louis Lions (CNRS UMR 7598), 175, rue du Chevaleret, 75013 Paris, France (lagoutie@math.jussieu.fr) 
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     author = {\'Etienne Bernard and St\'ephane Del Pino and Erwan Deriaz and Bruno Despr\'es and Katerina Jurkova and Fr\'ed\'eric Lagouti\`ere},
     title = {Lagrangian method enhanced with edge swapping for the free fall and contact problem},
     journal = {ESAIM. Proceedings},
     pages = {46--59},
     publisher = {mathdoc},
     volume = {24},
     year = {2008},
     doi = {10.1051/proc:2008029},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/proc:2008029/}
}
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%A Stéphane Del Pino
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%A Frédéric Lagoutière
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Étienne Bernard; Stéphane Del Pino; Erwan Deriaz; Bruno Després; Katerina Jurkova; Frédéric Lagoutière. Lagrangian method enhanced with edge swapping for the free fall and contact problem. ESAIM. Proceedings, Tome 24 (2008), pp. 46-59. doi : 10.1051/proc:2008029. http://geodesic.mathdoc.fr/articles/10.1051/proc:2008029/

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