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Inverse Problems and Large-Scale Computations pp 29–40Cite as

Approximate Globally Convergent Algorithm with Applications in Electrical Prospecting

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Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 52))

Abstract

In this paper we present at the first time an approximate globally convergent method for the reconstruction of an unknown conductivity function from backscattered electric field measured at the boundary of geological medium under assumptions that dielectric permittivity and magnetic permeability functions are known. This is the typical case of an coefficient inverse problem in electrical prospecting. We consider a simplified mathematical model assuming that geological medium is isotropic and non-dispersive.

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References

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Acknowledgements

This research was supported by the Swedish Research Council, the Swedish Foundation for Strategic Research (SSF) through the Gothenburg Mathematical Modelling Centre (GMMC), and the Swedish Institute, Visby Program.

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Authors and Affiliations

  1. Department of Mathematical Sciences, Chalmers University of Technology and Gothenburg University, SE-412 96, Gothenburg, Sweden

    John Bondestam Malmberg & Larisa Beilina

Authors
  1. John Bondestam Malmberg
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  2. Larisa Beilina
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Corresponding author

Correspondence to John Bondestam Malmberg .

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Editors and Affiliations

  1. Department of Mathematical Sciences, Chalmers University of Technology Gothenburg University, Gothenburg, Sweden

    Larisa Beilina

  2. Karlstad University, Karlstad, Sweden

    Yury V. Shestopalov

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Malmberg, J.B., Beilina, L. (2013). Approximate Globally Convergent Algorithm with Applications in Electrical Prospecting. In: Beilina, L., Shestopalov, Y. (eds) Inverse Problems and Large-Scale Computations. Springer Proceedings in Mathematics & Statistics, vol 52. Springer, Cham. https://doi.org/10.1007/978-3-319-00660-4_3

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