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Numerical Analysis and Applications

2019 year, number 1

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
Keywords: пористая среда, магнитное поле, проводящая жидкость, обобщенное решение, метод конечных элементов, porous medium, magnetic field, conductive fluid, generalized solution, finite element method

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.