Convergence of a finite-volume scheme for the Cahn-Hilliard equation with dynamic boundary conditions

نویسندگان

  • Flore Nabet
  • F. NABET
چکیده

This work is devoted to the numerical study of the Cahn-Hilliard equation with dynamic boundary conditions. A spatial finite-volume discretization is proposed which couples a 2d-method in a smooth connected domain and a 1d-method on its boundary. The convergence of the sequence of approximate solutions is proved and various numerical simulations are given.

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تاریخ انتشار 2017