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An error estimate for a finite-volume scheme for the Cahn-Hilliard equation with dynamic boundary conditions

Abstract : In the paper we consider a finite-volume approximation for the Cahn-Hilliard equation with dynamic boundary conditions. We prove an error estimate for the fully-discrete scheme. The convergence of the scheme is proved in Nabet (IMA J Numer Anal 36(4): 1898–1942, 2016), we prove here an error estimate for the fully-discrete scheme. We also give numerical simulations which validate the theoretical result.
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https://hal.archives-ouvertes.fr/hal-01273945
Contributor : Flore Nabet Connect in order to contact the contributor
Submitted on : Friday, September 3, 2021 - 12:00:24 PM
Last modification on : Tuesday, September 7, 2021 - 3:26:42 AM

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  • HAL Id : hal-01273945, version 3

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Flore Nabet. An error estimate for a finite-volume scheme for the Cahn-Hilliard equation with dynamic boundary conditions. 2021. ⟨hal-01273945v3⟩

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