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Dal'nevostochnyi Matematicheskii Zhurnal, 2010, Volume 10, Number 2, Pages 170–184
(Mi dvmg68)
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This article is cited in 3 scientific papers (total in 3 papers)
Inverse extremum problems for stationary equations of convection-diffusion-reaction
O. V. Soboleva Institute of Applied Mathematics, Far-Eastern Branch of the Russian Academy of Sciences
Abstract:
We study the coefficient inverse extremum problem for stationary equations of convection-diffusion-reaction in a bounded domain with mixed boundary conditions. We prove the stability of the solution of this problem with respect to small perturbations of both the cost functional and of the given function entering into the initial boundary value problem. The numerical algorithm is developed for solution of this extremum problem. It is based on Newton method for solving nonlinear equations and discretization of the linear boundary value problem by finite difference method or finite element method. Some results of numerical experiments are discussed.
Key words:
elliptic equation, third boundary value problem, mass transfer, coefficient inverse problem, solvability, stability, numerical algorithm.
Received: 20.05.2010
Citation:
O. V. Soboleva, “Inverse extremum problems for stationary equations of convection-diffusion-reaction”, Dal'nevost. Mat. Zh., 10:2 (2010), 170–184
Linking options:
https://www.mathnet.ru/eng/dvmg68 https://www.mathnet.ru/eng/dvmg/v10/i2/p170
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Abstract page: | 681 | Full-text PDF : | 206 | References: | 81 | First page: | 1 |
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