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Computational Identification of the Right Hand Side of the Parabolic Equations in Problems of Filtration

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Large-Scale Scientific Computing (LSSC 2015)

Part of the book series: Lecture Notes in Computer Science ((LNISA,volume 9374))

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Abstract

In this paper, we will consider the right-hand side of a parabolic equation in a multidimensional domain, which depends only on time. For the numerical solution of the initial boundary value problem, a homogeneous implicit differential scheme is used. The problem at a particular time level is solved on the basis of a special decomposition into two standard elliptic boundary value problems. We discuss the results of numerical experiments for a model problem of filtration theory.

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Acknowledgments

The authors express their sincere gratitude to Professor P.N.Vabischevich for ideas of problem formulation and fruitful discussions. This work is financially supported by RFBR (projects 13-01-00719, 15-31-20856).

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Authors and Affiliations

  1. NEFU Named After M.K. Ammosov, 58 Belinski, 677000, Yakutsk, Russia

    V. I. Vasil’ev, M. V. Vasil’eva, A. M. Kardashevsky & D. Ya. Nikiforov

Authors
  1. V. I. Vasil’ev
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  2. M. V. Vasil’eva
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  3. A. M. Kardashevsky
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  4. D. Ya. Nikiforov
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Corresponding author

Correspondence to V. I. Vasil’ev .

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Editors and Affiliations

  1. Bulgarian Academy of Sciences, Sofia, Bulgaria

    Ivan Lirkov

  2. Inst. of Inform. & Communication, Bulgarian Academy of Sciences, Sofia, Bulgaria

    Svetozar D. Margenov

  3. Informatics and Mathematical Modell, Technical University of Denmark, Kongens Lyngby, Denmark

    Jerzy Waśniewski

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Vasil’ev, V.I., Vasil’eva, M.V., Kardashevsky, A.M., Nikiforov, D.Y. (2015). Computational Identification of the Right Hand Side of the Parabolic Equations in Problems of Filtration. In: Lirkov, I., Margenov, S., Waśniewski, J. (eds) Large-Scale Scientific Computing. LSSC 2015. Lecture Notes in Computer Science(), vol 9374. Springer, Cham. https://doi.org/10.1007/978-3-319-26520-9_8

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  • DOI: https://doi.org/10.1007/978-3-319-26520-9_8

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-26519-3

  • Online ISBN: 978-3-319-26520-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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