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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2014, Volume 20, Number 3, Pages 98–113 (Mi timm1088)  
This article is cited in 8 scientific papers (total in 8 papers)

Direct and inverse boundary value problems for models of stationary reaction-convection-diffusion

A. I. Korotkiiab, Yu. V. Starodubtsevaa

a Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
b Yeltsin Ural Federal University
Full-text PDF (352 kB) Citations (8)
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Abstract: Direct and inverse boundary value problems for models of stationary reaction-convection-diffusion are investigated. The direct problem consists in finding a solution of the corresponding boundary value problem for given data on the boundary of the domain of the independent variable. The peculiarity of the direct problem consists in the inhomogeneity and irregularity of mixed boundary data. Solvability and stability conditions are specified for the direct problem. The inverse boundary value problem consists in finding some traces of the solution of the corresponding boundary value problem for given standard and additional data on a certain part of the boundary of the domain of the independent variable. The peculiarity of the inverse problem consists in the ill-posedness of this problem. Regularizing methods and solution algorithms are developed for the inverse problem.
Keywords: direct problem, mixed boundary condition, weak solution, stability, inverse problem, regularization, iterative methods.
Received: 21.03.2014
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2015, Volume 291, Issue 1, Pages 96–112
DOI: https://doi.org/10.1134/S0081543815090072
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: A. I. Korotkii, Yu. V. Starodubtseva, “Direct and inverse boundary value problems for models of stationary reaction-convection-diffusion”, Trudy Inst. Mat. i Mekh. UrO RAN, 20, no. 3, 2014, 98–113; Proc. Steklov Inst. Math. (Suppl.), 291, suppl. 1 (2015), 96–112
Citation in format AMSBIB
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\vol 20
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    • This publication is cited in the following 8 articles:
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