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Solving elliptical equations with high-contrast coefficients in an unbounded region

  • Numerical Methods and Inverse Problems
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Abstract

An approximation model is proposed for an elliptical equation with complex rapidly varying coefficients. An efficient numerical method is developed and implemented. A problem of geoelectricity requiring solution of an equation in this setting is investigated.

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References

  1. M. S. Zhdanov, V. Yu. Matusevich, and M. A. Frenkel', Seismic and Electromagnetic Migration [in Russian], Nauka, Moscow (1988).

    Google Scholar 

  2. J. T. Smith and J. R. Booker, “Magnetotelluric inversion for minimum structure,” Geophysics,53, 1565–1576 (1988).

    Google Scholar 

  3. D. W. Oldenburg and R. G. Ellis, “Inversion of geophysical data using an approximate inverse mapping,” Geophys. J. Int.,105, 325–353 (1991).

    Google Scholar 

  4. A. S. Barashkov and V. I. Dmitriev, “Solution of inverse problems in the class of quasi-one-dimensional functions,” Comput Math. Modeling,1, 186–197 (1990).

    Google Scholar 

  5. A. S. Barashkov and V. I. Dmitriev, “Inverse problem of deep magnetotelluric sounding,” Dokl. Akad. Nauk SSSR,295, No. 1, 1179–1193 (1987).

    Google Scholar 

  6. I. S. Barashkov and V. I. Dmitriev, “Analysis of the inverse problem of deep magnetotelluric sounding with faults,” in: Mathematical Modeling and Solution of Inverse Problems of Mathematical Physics [in Russian], Izd. MGU, Moscow (1994), pp. 5–12.

    Google Scholar 

  7. V. I. Dmitriev and E. V. Zakharov, Integral Equations in Boundary-Value Problems of Electrodynamics [in Russian], Izd. MGU, Moscow (1987).

    Google Scholar 

  8. A. S. Barashkov, “Dual asymptotic model for solving elliptical equations,” Zh. Vychisl. Matem. i Mat. Fiziki,34, No. 8-9 (1179–1193).

  9. B. M. Budak and S. V. Fomin, Multiple Integrals and Series [in Russian], Nauka, Moscow (1967).

    Google Scholar 

  10. A. A. Samarskii and E. S. Nikolaev, Solution Methods for Grid Equations [in Russian], Nauka, Moscow (1978).

    Google Scholar 

  11. A. S. Barashkov and A. G. Yakovlev, “Coastal effect in the magnetotelluric sounding method,” Izv. AN SSSR, Fiz. Zemli, No. 5, 103–107 (1989).

    Google Scholar 

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Authors
  1. A. S. Barashkov
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  2. V. I. Dmitriev
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Additional information

This research was partially supported by the Russian Foundation for Basic Research (grant No. 96-05-64340) and by the Interuniversity Scientific Program “Russian Universities: Basic Research.”

Translated from Chislennye Metody v Matematicheskoi Fizike, Moscow State University, pp. 37–45, 1998.

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Barashkov, A.S., Dmitriev, V.I. Solving elliptical equations with high-contrast coefficients in an unbounded region. Comput Math Model 10, 239–247 (1999). https://doi.org/10.1007/BF02358943

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  • DOI: https://doi.org/10.1007/BF02358943

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