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.

引用

页码：C290 / C306

页数：17

共 50 条

[41] IDENTIFYING A SPACE DEPENDENT COEFFICIENT IN A REACTION-DIFFUSION EQUATION
Beretta, Elena
Cavaterra, Cecilia
INVERSE PROBLEMS AND IMAGING, 2011, 5 (02) : 285 - 296
[42] Reconstruction of the absorption coefficient in a model of stationary reaction-convection-diffusion.
Korotkii, Alexander Illarionovich
Vladimirovna, Yulia
TRUDY INSTITUTA MATEMATIKI I MEKHANIKI URO RAN, 2024, 30 (03): : 166 - 181
[43] An inverse random source problem in a stochastic fractional diffusion equation
Niu, Pingping
Helin, Tapio
Zhang, Zhidong
INVERSE PROBLEMS, 2020, 36 (04)
[44] Inverse problem of determining diffusion matrix between different structures for time fractional diffusion equation
Peng, Feiyang
Tang, Yanbin
NETWORKS AND HETEROGENEOUS MEDIA, 2024, 19 (01) : 291 - 304
[45] The inverse problem of finding the time-dependent diffusion coefficient of the heat equation from integral overdetermination data
Kanca, Fatma
Ismailov, Mansur I.
INVERSE PROBLEMS IN SCIENCE AND ENGINEERING, 2012, 20 (04) : 463 - 476
[46] On the identification of a nonlinear term in a reaction-diffusion equation
Kaltenbacher, Barbara
Rundell, William
INVERSE PROBLEMS, 2019, 35 (11)
[47] Reconstructing unknown nonlinear boundary conditions in a time-fractional inverse reaction-diffusion-convection problem
Babaei, Afshin
Banihashemi, Seddigheh
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2019, 35 (03) : 976 - 992
[48] Inverse problems: Numerical solution of the inverse problem for the diffusion equation under spherical symmetry
Solovev’a S.I.
Computational Mathematics and Modeling, 2015, 26 (4) : 528 - 533
[49] Determining the Water Diffusion Coefficient During Salting Goat Meat Slices Using Inverse Problem
Corzo, Otoniel
Bracho, Nelson
Rodriguez, Jaime
REVISTA CIENTIFICA-FACULTAD DE CIENCIAS VETERINARIAS, 2014, 24 (05): : 393 - 398
[50] Solution to an inverse problem in diffusion
Nievergelt, K
SIAM REVIEW, 1998, 40 (01) : 74 - 80

← 1 2 3 4 5 →