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The boundary value problem of magnetoporosity arising in the study of a near-wellbore space
Sh. Kh. Imomnazarov, M. V. Urev Institute of Computational Mathematics and Mathematical Geophysics SB RAS, pr. Acad. Lavrentieva 6, Novosibirsk, 630090, Russia
Abstract:
The existence and uniqueness of the generalized solution of the boundary value problem for the system of magnetoporosity equations in the dissipative approximation have been proved. The results of the numerical solution obtained by the finite element method of the test boundary value problem of magnetoporosity in the frequency domain are presented.
Key words:
porous medium, magnetic field, conductive fluid, generalized solution, finite element method.
Received: 19.12.2017 Revised: 13.02.2018 Accepted: 05.10.2018
Citation:
Sh. Kh. Imomnazarov, M. V. Urev, “The boundary value problem of magnetoporosity arising in the study of a near-wellbore space”, Sib. Zh. Vychisl. Mat., 22:1 (2019), 15–26; Num. Anal. Appl., 12:1 (2019), 15–25
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https://www.mathnet.ru/eng/sjvm698 https://www.mathnet.ru/eng/sjvm/v22/i1/p15
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Abstract page: | 153 | Full-text PDF : | 24 | References: | 33 | First page: | 9 |
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