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

Flore Nabet

doi:10.1093/imanum/drv057

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

Flore Nabet

Université de Provence

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

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 two-dimensional method in a smooth connected domain and a one-dimensional method on its boundary. The convergence of the sequence of approximate solutions is proved and various numerical simulations are given.

langue originale	Anglais
Pages (de - à)	1898-1942
Nombre de pages	45
journal	IMA Journal of Numerical Analysis
Volume	36
Numéro de publication	4
Les DOIs	https://doi.org/10.1093/imanum/drv057
état	Publié - 1 oct. 2016
Modification externe	Oui

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10.1093/imanum/drv057

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title = "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 two-dimensional method in a smooth connected domain and a one-dimensional method on its boundary. The convergence of the sequence of approximate solutions is proved and various numerical simulations are given.",

keywords = "Cahn-Hilliard equation, convergence analysis, dynamic boundary conditions, finite-volume method",

author = "Flore Nabet",

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AB - 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 two-dimensional method in a smooth connected domain and a one-dimensional method on its boundary. The convergence of the sequence of approximate solutions is proved and various numerical simulations are given.

KW - Cahn-Hilliard equation

KW - convergence analysis

KW - dynamic boundary conditions

KW - finite-volume method

UR - https://www.scopus.com/pages/publications/84990890548

U2 - 10.1093/imanum/drv057

DO - 10.1093/imanum/drv057

M3 - Article

AN - SCOPUS:84990890548

SN - 0272-4979

VL - 36

SP - 1898

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JO - IMA Journal of Numerical Analysis

JF - IMA Journal of Numerical Analysis

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

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