PARAMETER IDENTIFICATION BY OPTIMIZATION METHOD FOR A POLLUTION PROBLEM IN POROUS MEDIA

被引：0

作者：

Aboulaich, R. ^{[1
]}

Achchab, B. ^{[2
,3
]}

Darouichi, A. ^{[4
]}

机构：

[1] Univ Mohammed V Agdal, Ecole Mohammadia Ingenieurs, LERMA, Ave Ibn Sina BP 765, Rabat, Morocco

[2] Univ Hassan 1, Ecde Super Technol Berrechi, BP 218, Berrechid, Morocco

[3] ESTB, LAMSAD, BP 218, Berrechid, Morocco

[4] Univ Cadi Ayyad, Ecole Super Technol, BP 383, Essaouira, Morocco

来源：

ACTA MATHEMATICA SCIENTIA | 2018年 / 38卷 / 04期

关键词：

inverse problem; coefficient identification; optimization method; pollution problem; porous media; FINAL MEASUREMENT DATA; INVERSE PROBLEM; PARABOLIC EQUATION; VAPOR EXTRACTION; HEAT-EQUATION; MASS-TRANSFER; COEFFICIENT; REGULARIZATION; VOLATILITY; TRANSPORT;

D O I：

10.1016/S0252-9602(18)30818-X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the present work, we investigate the inverse problem of reconstructing the parameter of an integro-differential parabolic equation, which comes from pollution problems in porous media, when the final observation is given. We use the optimal control framework to establish both the existence and necessary condition of the minimizer for the cost functional. Furthermore, we prove the stability and the local uniqueness of the minimizer. Some numerical results will be presented and discussed.

引用

页码：1345 / 1360

页数：16

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