D. A. Tereshko, “Numerical reconstruction of the boundary heat flow for stationary heat convection equations”, Sib. Zh. Ind. Mat., 17:4 (2014), 111–119; J. Appl. Industr. Math., 9:1 (2015), 132

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Sibirskii Zhurnal Industrial'noi Matematiki, 2014, Volume 17, Number 4, Pages 111–119 (Mi sjim864)

This article is cited in 9 scientific papers (total in 9 papers)

Numerical reconstruction of the boundary heat flow for stationary heat convection equations

D. A. Tereshko

Institute of Applied Mathematics FEB RAS, 7 Radio st., 690041 Vladivostok

Full-text PDF (271 kB) Citations (9)

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Abstract: A numerical algorithm is proposed for solving the inverse problem for the stationary heat convection equations based on the constrained minimization methods. This algorithm is applied for estimating the heat flow on a part of the boundary from the measured values of the temperature or the velocity vector in the flow domain.

Keywords: heat convection, inverse problem, minimization problem, numerical method.

Received: 28.05.2014

English version:
Journal of Applied and Industrial Mathematics, 2015, Volume 9, Issue 1, Pages 132–140
DOI: https://doi.org/10.1134/S1990478915010147

Bibliographic databases:

Document Type: Article

UDC: 517.95

Language: Russian

Citation: D. A. Tereshko, “Numerical reconstruction of the boundary heat flow for stationary heat convection equations”, Sib. Zh. Ind. Mat., 17:4 (2014), 111–119; J. Appl. Industr. Math., 9:1 (2015), 132–140

Citation in format AMSBIB

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\paper Numerical reconstruction of the boundary heat flow for stationary heat convection equations

\jour Sib. Zh. Ind. Mat.

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\issue 4

\pages 111--119

\mathnet{http://mi.mathnet.ru/sjim864}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3364398}

\transl

\jour J. Appl. Industr. Math.

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\pages 132--140

\crossref{https://doi.org/10.1134/S1990478915010147}

Linking options:

https://www.mathnet.ru/eng/sjim864

https://www.mathnet.ru/eng/sjim/v17/i4/p111

This publication is cited in the following 9 articles:

A. V. Lobanov, Yu. E. Spivak, “Optimizatsionnyi metod v dvumernykh zadachakh elektricheskoi maskirovki”, Dalnevost. matem. zhurn., 19:1 (2019), 31–42
R. V. Brizitskii, Zh. Yu. Saritskaya, R. R. Kravchuk, “Boundary Value and Extremum Problems For Generalized Oberbeck-Boussinesq Model”, Sib. Electron. Math. Rep., 16 (2019), 1215–1232
G. V. Alekseev, D. A. Tereshko, “Optimization method for axisymmetric problems of electric cloaking of material bodies”, Comput. Math. Math. Phys., 59:2 (2019), 207–223
G. V. Alekseev, “Analysis of a two-dimensional thermal cloaking problem on the basis of optimization”, Comput. Math. Math. Phys., 58:4 (2018), 478–492
R. V. Brizitskii, Zh. Y. Saritskaya, “Optimization analysis of the inverse coefficient problem for the nonlinear convection-diffusion-reaction equation”, J. Inverse Ill-Posed Probl., 26:6 (2018), 821–833
D. A. Tereshko, “Numerical analysis of inverse problems for electric field measurements”, 2018 Progress in Electromagnetics Research Symposium (PIERS-Toyama), eds. W. Chew, S. He, IEEE, 2018, 1603–1608
D. A. Tereshko, “Numerical solution of inverse problems in hydrodynamics”, All-Russian Conference With International Participation Modern Problems of Continuum Mechanics and Explosion Physics Dedicated to the 60Th Anniversary of Lavrentyev Institute of Hydrodynamics SB RAS, Journal of Physics Conference Series, 894, eds. Chesnokov A., Pruuel E., Shelukhin V., IOP Publishing Ltd, 2017, UNSP 012095
D. A. Tereshko, “Numerical analysis of 3D multilayered cloaking in static fields”, 2017 Progress In Electromagnetics Research Symposium - Spring (PIERS), IEEE, 2017, 1337–1341
D. A. Tereshko, “Numerical heat fluxcontrol forunsteady viscous fluid flows”, International conference on mechanical engineering, automation and control systems 2015 (MEACS 2015), IOP Conference Series-Materials Science and Engineering, 124, IOP Publishing Ltd, 2016, UNSP 012102

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Сибирский журнал индустриальной математики

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