Geodesic
Finite-volume method for the Cahn-Hilliard equation with dynamic boundary conditions
Flore Nabet1
1Aix-Marseille Université, CNRS, Centrale Marseille, LATP, UMR 7353, 13453, Marseille, France
ESAIM. Proceedings, Tome 45 (2014), pp. 502-511

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A numerical scheme is proposed here to solve a diphasic Cahn-Hilliard equation with dynamic boundary conditions. A finite-volume method is implemented for the space discretization and existence and convergence results are proved. Numerical simulations are also presented that show the influence of these boundary conditions.
DOI : 10.1051/proc/201445052

Flore Nabet  1

1 Aix-Marseille Université, CNRS, Centrale Marseille, LATP, UMR 7353, 13453, Marseille, France 
Flore Nabet. Finite-volume method for the Cahn-Hilliard equation with dynamic boundary conditions. ESAIM. Proceedings, Tome 45 (2014), pp. 502-511. doi: 10.1051/proc/201445052
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     author = {Flore Nabet},
     title = {Finite-volume method for the {Cahn-Hilliard} equation with dynamic boundary conditions},
     journal = {ESAIM. Proceedings},
     pages = {502--511},
     year = {2014},
     volume = {45},
     doi = {10.1051/proc/201445052},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/proc/201445052/}
}
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