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

被引：4

作者：

Carvalho, Esdras P. ^{[1
]}

Martinez, Julian ^{[2
]}

Martinez, J. M. ^{[3
]}

Pisnitchenko, Feodor ^{[4
]}

机构：

[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

来源：

MATHEMATICS AND COMPUTERS IN SIMULATION | 2015年 / 114卷

基金：

巴西圣保罗研究基金会;

关键词：

Parameter estimation; Nonlinear optimization; Fluid extraction models simulation; LINEAR-DEPENDENCE CONDITION; EXTRACTION; OIL;

D O I：

10.1016/j.matcom.2010.07.020

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

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.

引用

页码：14 / 24

页数：11

共 32 条

[1] ON AUGMENTED LAGRANGIAN METHODS WITH GENERAL LOWER-LEVEL CONSTRAINTS [J].

Andreani, R. ;

Birgin, E. G. ;

Martinez, J. M. ;

Schuverdt, M. L. .

SIAM JOURNAL ON OPTIMIZATION, 2008, 18 (04) :1286-1309

[2] On the relation between constant positive linear dependence condition and quasinormality constraint qualification [J].

Andreani, R ;

Martinez, JM ;

Schuverdt, M .

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2005, 125 (02) :473-485

[3]

Andreani R., OPTIMIZATIO IN PRESS

[4]

[Anonymous], 2013, Introductory lectures on convex optimization: A basic course

[5]

[Anonymous], 1999, Numerical Optimization.

[6] Global minimization using an Augmented Lagrangian method with variable lower-level constraints [J].

Birgin, E. G. ;

Floudas, C. A. ;

Martinez, J. M. .

MATHEMATICAL PROGRAMMING, 2010, 125 (01) :139-162

[7]

Brunner G., 1994, STEINKOPFF

[8]

Carvalho E.P., 2009, TECH REP

[9] Nonlinear programming without a penalty function [J].

Fletcher, R ;

Leyffer, S .

MATHEMATICAL PROGRAMMING, 2002, 91 (02) :239-269

[10] Modelling the extraction of essential oils with compressed carbon dioxide [J].

Gaspar, F ;

Lu, T ;

Santos, R ;

Al-Duri, B .

JOURNAL OF SUPERCRITICAL FLUIDS, 2003, 25 (03) :247-260

← 1 2 3 4 →