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Type: Artigo de periódico
Title: Existence and approximate solutions of a model for Ostwald ripening
Author: da Silva, PN
Boldrini, JL
Abstract: We analyze a fully discrete finite element scheme based on the backward Euler method for a system consisting of a Cahn-Hilliard and several Allen-Cahn type equations closely related to that proposed by Fan et al. for modeling Ostwald ripening in a two-phase system. As a consequence of the analysis, we prove the existence and uniqueness of solutions of the discrete problems, as well as their convergence to the solution of the original system. Error estimates are also presented.
Subject: Allen-Cahn equation
Cahn-Hilliard equation
existence and uniqueness
full discretization
phase transitions
Ostwald ripening
Country: EUA
Editor: Taylor & Francis Inc
Citation: Numerical Functional Analysis And Optimization. Taylor & Francis Inc, v. 29, n. 41858, n. 883, n. 904, 2008.
Rights: fechado
Identifier DOI: 10.1080/01630560802295906
Date Issue: 2008
Appears in Collections:Unicamp - Artigos e Outros Documentos

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