Existence and approximate solutions of a model for Ostwald ripening

Autor(es)

da Silva, Patricia Nunes ^[1] ; Boldrini, Jose Luiz ^[2]

Afiliação do(s) autor(es)

^[1] Univ Estado Rio De Janeiro, IME, Dept Anal, BR-20550013 Rio De Janeiro - Brazil

^[2] Univ Estadual Campinas, IMECC, Campinas - Brazil

• Tipo de documento: Artigo Científico
• Fonte: NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION; v. 29, n. 7-8, p. 883-904, 2008.
• Citações Web of Science: 0

Resumo

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)

• Processo FAPESP: 98/15946-5 - Modelos do tipo campo de fases em processos de cristalização
• Beneficiário: Patricia Nunes da Silva
• Modalidade de apoio: Bolsas no Brasil - Doutorado