E. V. Dementyeva, E. D. Karepova, V. V. Shaidurov, “Recovery of a boundary function from observation data for the surface wave propagation problem in an open basin”, Sib. Zh. Ind. Mat., 16:1 (2013), 10

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Sibirskii Zhurnal Industrial'noi Matematiki, 2013, Volume 16, Number 1, Pages 10–20 (Mi sjim762)

This article is cited in 8 scientific papers (total in 8 papers)

Recovery of a boundary function from observation data for the surface wave propagation problem in an open basin

E. V. Dementyeva, E. D. Karepova, V. V. Shaidurov

Institute of Computational Modeling of the SDRAS, Krasnoyarsk, Russia

Full-text PDF (719 kB) Citations (8)

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Abstract: The iterative numerical method of recovery of the unknown boundary function describing the ocean influence on the open boundary of a computational domain is proposed. The algorithm is based on the method for solving inverse problems by adjoint equations and optimal control methods. The algorithm is tested on a model problem for the basin of the Sea of Okhotsk.

Keywords: shallow water equations, finite element method, inverse problem.

Received: 17.08.2011
Revised: 19.12.2012

Bibliographic databases:

Document Type: Article

UDC: 519.633

Language: Russian

Citation: E. V. Dementyeva, E. D. Karepova, V. V. Shaidurov, “Recovery of a boundary function from observation data for the surface wave propagation problem in an open basin”, Sib. Zh. Ind. Mat., 16:1 (2013), 10–20

Citation in format AMSBIB

\Bibitem{DemKarSha13}

\by E.~V.~Dementyeva, E.~D.~Karepova, V.~V.~Shaidurov

\paper Recovery of a~boundary function from observation data for the surface wave propagation problem in an open basin

\jour Sib. Zh. Ind. Mat.

\yr 2013

\vol 16

\issue 1

\pages 10--20

\mathnet{http://mi.mathnet.ru/sjim762}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3203301}

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https://www.mathnet.ru/eng/sjim762

https://www.mathnet.ru/eng/sjim/v16/i1/p10

This publication is cited in the following 8 articles:

Agoshkov I V., Zalesny V.B., Sheloput T.O., “Variational Data Assimilation in Problems of Modeling Hydrophysical Fields in Open Water Areas”, Izv. Atmos. Ocean. Phys., 56:3 (2020), 253–267
R. V. Brizitskii, Zh. Yu. Saritskaya, “Inverse coefficient problems for a non-linear convection–diffusion–reaction equation”, Izv. Math., 82:1 (2018), 14–30
R. V. Brizitskii, Zh. Yu. Saritskaya, “Boundary control problem for a nonlinear convection-diffusion-reaction equation”, Comput. Math. Math. Phys., 58:12 (2018), 2053–2063
V. I. Agoshkov, T. O. Sheloput, “The study and numerical solution of some inverse problems in simulation of hydrophysical fields in water areas with ‘liquid’ boundaries”, Russ. J. Numer. Anal. Math. Model, 32:3 (2017), 147–164
V. I. Agoshkov, “Statement and study of some inverse problems in modelling of hydrophysical fields for water areas with ‘liquid’ boundaries”, Russ. J. Numer. Anal. Math. Model, 32:2 (2017), 73–90
G. V. Alekseev, R. V. Brizitskii, Zh. Yu. Saritskaya, “Stability estimates of solutions to extremal problems for a nonlinear convection-diffusion-reaction equation”, J. Appl. Industr. Math., 10:2 (2016), 155–167
R. V. Brizitskii, Zh. Yu. Saritskaya, “Stability of solutions to extremum problems for the nonlinear convection-diffusion-reaction equation with the Dirichlet condition”, Comput. Math. Math. Phys., 56:12 (2016), 2011–2022
Dement'eva E.V., Karepova E.D., Shaidurov V.V., “Assimilation of Observation Data in the Problem of Surface Wave Propagation in a Water Area With An Open Boundary”, Russ. J. Numer. Anal. Math. Model, 29:1 (2014), 13–23

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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