A method of the magnetotelluric field numerical modelling in a horizontally homogeneous medium: difference schemes, estimates of convergence
O.B. Zabinyakova1, S.N. Sklyar2
1Research Station of the Russian Academy of Sciences, Bishkek, Kyrgyzstan
2American University of Central Asia, Bishkek, Kyrgyzstan
Keywords: Tikhonov-Cagniard model, direct one-dimensional problem of magnetotelluric sounding, numerical solution, interpolation of an approximate solution, matrix exponent, local integral equation, convergence estimates
Abstract
This paper proposes a method for the numerical solution of the direct one-dimensional problem of magnetotelluric sounding. The construction of difference schemes is realized by the local integral equations method. A natural variant of the interpolation of an approximate solution is considered. The estimate of convergence of the approximate solution to the exact one and the estimate of the interpolation error are proved.
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