On optimization strategies for parameter estimation in models governed by partial differential equations

Autor(es)

Carvalho, Esdras P. ^[1] ; Martinez, Julian ^[2] ; Martinez, J. M. ^[3] ; Pisnitchenko, Feodor ^[4]

Afiliação do(s) autor(es)

^[1] Univ Estadual Maringa, Dept Math, Maringa, Parana - Brazil

^[2] Univ Fed Santa Catarina, Chem & Food Engn Dept, BR-88040900 Florianopolis, SC - Brazil

^[3] Univ Estadual Campinas, Dept Appl Math, Campinas, SP - Brazil

^[4] Fed Univ ABC, Ctr Math Computat & Cognit, Sao Paulo - Brazil

• Tipo de documento: Artigo Científico
• Fonte: MATHEMATICS AND COMPUTERS IN SIMULATION; v. 114, p. 14-24, AUG 2015.
• Citações Web of Science: 3

Resumo

Extraction problems governed by systems of partial differential equations appear in several branches of Engineering. Parameter estimation involves discretization and modeling in a finite dimensional setting. A model that arises in the supercritical extraction area is analyzed in this paper. Numerical difficulties of the nonlinear programming formulation of the estimation process are discussed and a satisfactory procedure based on unconstrained derivative-free optimization is suggested. (C) 2010 IMACS. Published by Elsevier B.V. All rights reserved. (AU)

• Processo FAPESP: 06/53768-0 - Métodos computacionais de otimização
• Beneficiário: José Mário Martinez Perez
• Modalidade de apoio: Auxílio à Pesquisa - Temático
• Processo FAPESP: 07/08359-7 - Problemas de grande porte em otimização EDP-restrita
• Beneficiário: Fedor Pisnitchenko
• Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado
• Processo FAPESP: 05/57684-2 - Lagrangeano aumentado e problemas de equilíbrio
• Beneficiário: María Laura Schuverdt
• Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado