INVERSE PROBLEM OF IDENTIFICATION OF DIFFUSION COEFFICIENT IN CONVECTION-DIFFUSION-REACTION EQUATION

被引：0
|
作者：
Vakhitov, I. S. [1 ]
机构：
[1] Russian Acad Sci, Inst Appl Math, Far Eastern Branch, Radio St 7, Vladivostok 690041, Russia
来源：
SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA | 2010年 / 7卷
关键词：
inverse problem; diffusion coefficient; Newton's method;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Inverse extremum problem of identification of the diffusion coefficient in an elliptic equation of convection-diffusion-reaction is formulated. The solvability of this problem is proved, the application of Lagrange principle is justified and the optimality system is constructed for specific cost functional. The numerical algorithm based on Newton-method of nonlinear optimization and finite-element discretization of linear elliptic problems is developed and realized on computer. The results of numerical experiments are discussed.
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页码：C290 / C306
页数：17
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