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| This talk is devoted to the numerical analysis of a finite-volume scheme of the Cahn-Hilliard equation with dynamic boundary conditions. The finite-volume method is well adapted to the coupling of the dynamics in the domain and those on the boundary by a flux term. Furthermore, this scheme accounts naturally for the non-flat geometry of the boundary and for the associated Laplace-Beltrami operator. We prove existence and convergence results and we present various numerical simulations. |
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