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Journal Articles IMA Journal of Numerical Analysis Year : 2015

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

Abstract

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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Dates and versions

hal-01096996 , version 1 (17-06-2015)

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Flore Nabet. Convergence of a finite-volume scheme for the Cahn-Hilliard equation with dynamic boundary conditions. IMA Journal of Numerical Analysis, 2015, ⟨10.1093/imanum/drv057⟩. ⟨hal-01096996⟩
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