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Convergence of the method of integral equations for quasi three-dimensional problem of electrical sounding

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Part of the book series: Notes on Numerical Fluid Mechanics and Multidisciplinary Design ((NNFM,volume 91))

Abstract

The problem on vertical electrical sounding above the embedding with two-dimensional geometry of heterogeneity is considered. The conditions of convergence of the iterative method for solving the charge density equation are obtained.

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References

  1. Tikhonov AN (1946) On electric sounding above inclined bed. Proc. of Institute of Theor. Geophys. Publ. House of AS USSR, Moscow – Leningrad, 1:116–136 (in Russian)

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  2. Skalskaya IP (1948) J Tech Phys USSR 18:1242–1254 (in Russian)

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  3. (1989) Electrical sounding: geophysicist's handbook. Nedra, Moscow (in Russian)

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  4. Orunkhanov MK, Mukanova B, Sarbassova B (2004) Numerical simulation of electric sounding problems. Joint issue of Comp Techn 9 and Bulletin of KazNU 3/42: Proc. of the Int. Conf. “Computational and informational technologies for science, engineering and education”, Almaty, Kazakhstan, part 3 (in Russian)

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© 2006 Springer

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Orunkhanov, M., Mukanova, B., Sarbassova, B. (2006). Convergence of the method of integral equations for quasi three-dimensional problem of electrical sounding. In: Krause, E., Shokin, Y., Resch, M., Shokina, N. (eds) Computational Science and High Performance Computing II. Notes on Numerical Fluid Mechanics and Multidisciplinary Design, vol 91. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-31768-6_14

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  • DOI: https://doi.org/10.1007/3-540-31768-6_14

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-31767-8

  • Online ISBN: 978-3-540-31768-5

  • eBook Packages: EngineeringEngineering (R0)

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