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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

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

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Author(s):
Carvalho, Esdras P. [1] ; Martinez, Julian [2] ; Martinez, J. M. [3] ; Pisnitchenko, Feodor [4]
Total Authors: 4
Affiliation:
[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
Total Affiliations: 4
Document type: Journal article
Source: MATHEMATICS AND COMPUTERS IN SIMULATION; v. 114, p. 14-24, AUG 2015.
Web of Science Citations: 3
Abstract

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)

FAPESP's process: 06/53768-0 - Computational methods of optimization
Grantee:José Mário Martinez Perez
Support Opportunities: Research Projects - Thematic Grants
FAPESP's process: 07/08359-7 - Large scale problems in PDE-constrained optimization
Grantee:Fedor Pisnitchenko
Support Opportunities: Scholarships in Brazil - Post-Doctoral