Advanced search
Start date
Betweenand
Related content
(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Existence and approximate solutions of a model for Ostwald ripening

Full text
Author(s):
da Silva, Patricia Nunes [1] ; Boldrini, Jose Luiz [2]
Total Authors: 2
Affiliation:
[1] Univ Estado Rio De Janeiro, IME, Dept Anal, BR-20550013 Rio De Janeiro - Brazil
[2] Univ Estadual Campinas, IMECC, Campinas - Brazil
Total Affiliations: 2
Document type: Journal article
Source: NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION; v. 29, n. 7-8, p. 883-904, 2008.
Web of Science Citations: 0
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. (AU)