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Obtaining Materic Bodies through Concentration and Optimization of a Linear Functional

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Geophysical Data Inversion Methods and Applications

Part of the book series: Theory and Practice of Applied Geophysics ((THPAG))

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Abstract

In this paper we present a method for obtaining minimal bodies (bodies with minimal support) graviequivalent to a given body. These bodies are called materic (from the Latin word mater = mother) The method originates from Zidarov’s concentration method which, in general, is not uniquely determined. We determine this method by adding a linear functional which should be minimized at every step.

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References

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Andreas Vogel Charles O. Ofoegbu Rudolf Gorenflo Bjorn Ursin

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© 1990 Friedr. Vieweg & Sohn Verlagsgesellschaft mbH, Braunschweig

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Kounchev, O.I. (1990). Obtaining Materic Bodies through Concentration and Optimization of a Linear Functional. In: Vogel, A., Ofoegbu, C.O., Gorenflo, R., Ursin, B. (eds) Geophysical Data Inversion Methods and Applications. Theory and Practice of Applied Geophysics. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-322-89416-8_9

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  • DOI: https://doi.org/10.1007/978-3-322-89416-8_9

  • Publisher Name: Vieweg+Teubner Verlag, Wiesbaden

  • Print ISBN: 978-3-528-06396-2

  • Online ISBN: 978-3-322-89416-8

  • eBook Packages: Springer Book Archive

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