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Finite-Volume Analysis for the Cahn-Hilliard equation with Dynamic boundary conditions

Abstract : This work is devoted to the convergence analysis of a finite-volume approximation of the 2D Cahn-Hilliard equation with dynamic boundary conditions. The method that we propose couples a 2d-finite-volume method in a bounded, smooth domain and a 1d-finite-volume method on its boundary. We prove convergence of the sequence of approximate solutions.
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https://hal.archives-ouvertes.fr/hal-00974585
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Submitted on : Thursday, December 18, 2014 - 9:38:25 PM
Last modification on : Friday, October 22, 2021 - 3:29:24 AM
Long-term archiving on: : Monday, March 23, 2015 - 5:29:53 PM

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  • HAL Id : hal-00974585, version 2

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Flore Nabet. Finite-Volume Analysis for the Cahn-Hilliard equation with Dynamic boundary conditions. FVCA7 - The International Symposium of Finite Volumes for Complex Applications VII, Jun 2014, Berlin, Germany. ⟨hal-00974585v2⟩

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