Abstract:
The review of works on mathematical modeling of impacts of the natural phenomena on
industrial objects in the Arctic zone of the North Sea of the Russian Federation, and also
the works concerning the solution of problems of industrial development of the Arctic
shelf is submitted. The description of the urgent computing tasks connected with development
of the Arctic is provided. The numerical methods which are used for their decision,
the problems arising at the same time are discussed calculation result are given. The
list of the most urgent computing problems of development of the Arctic shelf of Russia
is provided.
Keywords:
mathematical modeling, numerical methods, mechanics of continuous environments,
researches of the Arctic, high-performance computing systems.
Citation:
I. B. Petrov, “Problems of simulation of natural and anthropogenous processes in the Arctic zone of the Russian Federation”, Mat. Model., 30:7 (2018), 103–136; Math. Models Comput. Simul., 11:2 (2019), 226–246
\Bibitem{Pet18}
\by I.~B.~Petrov
\paper Problems of simulation of natural and anthropogenous processes in the Arctic zone of the Russian Federation
\jour Mat. Model.
\yr 2018
\vol 30
\issue 7
\pages 103--136
\mathnet{http://mi.mathnet.ru/mm3988}
\transl
\jour Math. Models Comput. Simul.
\yr 2019
\vol 11
\issue 2
\pages 226--246
\crossref{https://doi.org/10.1134/S2070048219020145}
Linking options:
https://www.mathnet.ru/eng/mm3988
https://www.mathnet.ru/eng/mm/v30/i7/p103
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V. V. Sidoryakina, A. I. Sukhinov, “Construction of solutions and study of their closeness in L2L2 for two boundary value problems for a model of multicomponent suspension transport in coastal systems”, Comput. Math. Math. Phys., 63:10 (2023), 1918–1928
V. I. Golubev, M. V. Muratov, E. K. Guseva, D. S. Konov, I. B. Petrov, “Thermodynamic and Mechanical Problems of Ice Formations: Numerical Simulation Results”, Lobachevskii J Math, 43:4 (2022), 970
I. B. Petrov, P. V. Stognii, N. I. Khokhlov, “Mathematical modeling of 3D dynamic processes near a fracture using the Schoenberg fracture model”, Dokl. Math., 104:2 (2021), 254–257
Igor B. Petrov, Maksim V. Muratov, Fedor I. Sergeev, Smart Innovation, Systems and Technologies, 217, Applied Mathematics and Computational Mechanics for Smart Applications, 2021, 171
P. V. Stognii, I. B. Petrov, K. A. Beklemysheva, V. A. Miryaha, “Computer exploration of the ice samples strength using different numerical methods”, Lobachevskii J. Math., 41:12, SI (2020), 2714–2721
Petrov I.B., Muratov V M., Sergeev I F., “Stability Analysis of Artificial Ice Islands By Methods of Mathematical Modeling”, Dokl. Math., 102:3 (2020), 483–486
P. Stognii, I. Petrov, A. Favorskaya, “The influence of the ice field on the seismic exploration in the arctic region”, Knowledge-Based and Intelligent Information & Engineering Systems (Kes 2019), Procedia Computer Science, 159, ed. I. Rudas, C. Janos, C. Toro, J. Botzheim, R. Howlett, L. Jain, Elsevier, 2019, 870–877
Citation in format AMSBIB
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