2D Parameter identification in a distributed parameter system

Author

Rachidi, S. ; Channa, R. ; Karama, A.

Author_Institution

Fac. of Sci. Semlalia, Dept. of Phys., Cadi Ayyad Univ., Marrakesh, Morocco

fYear

2011

fDate

7-9 April 2011

Firstpage

1

Lastpage

5

Abstract

In this paper, we present a numerical solution for an inverse problem to estimate an unknown spacewise-dependent coefficient in a parabolic system. The identification problem is formulated using an Output Least Square Method which consists in minimizing a cost function (criterion) taking into account both the measured outputs of the system and the outputs calculated by means of the model to be identified. The solution is performed using the free finite element software FreeFem. Numerical example is carried out to check the validity of the proposed method.

Keywords

distributed parameter systems; inverse problems; parabolic equations; parameter estimation; 2D parameter identification; FreeFem; cost function minimization; distributed parameter system; finite element software; inverse problem; output least square method; parabolic system; spacewise-dependent coefficient estimation; Conductivity; Equations; Estimation; Heating; Inverse problems; Mathematical model; Numerical models; Distributed parameter system; Identification; Inverse problem; Minimization;

fLanguage

English

Publisher

ieee

Conference_Titel

Multimedia Computing and Systems (ICMCS), 2011 International Conference on

Conference_Location

Ouarzazate

ISSN

Pending

Print_ISBN

978-1-61284-730-6

Type

conf

DOI

10.1109/ICMCS.2011.5945732

Filename

5945732