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An Approximate Solution of Optimization Problems for Elliptic Interface Problems with Variable Coefficients and Imperfect Contact

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Numerical Analysis and Its Applications (NAA 2016)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 10187))

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Abstract

The present work is devoted to computational aspects of solving the optimization problems for semi-linear elliptic interface problems. We develop numerical algorithms for minimizing a cost functional, depending on a state of the system and a control. Numerical experiments are included. The results from computer experiment showed the effectiveness of the approximate method of solution.

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References

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Acknowledgements

This work was supported by a grant of the President of the Russian Federation for state support of young Russian scientists and PhDs, number MK 4147.2015.1.

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Authors and Affiliations

  1. Bashkir State University, Zaki Validi Street, 32, Republic of Bashkortostan, Russia

    Aigul Manapova

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  1. Aigul Manapova
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Correspondence to Aigul Manapova .

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Editors and Affiliations

  1. Institute of Information and Communication Technologies, Bulgarian Academy of Sciences, Sofia, Bulgaria

    Ivan Dimov

  2. Department of Applied Analysis, Eötvös Loránd University, Budapest, Hungary

    István Faragó

  3. Department of Applied Mathematics and Statistics, University of Rousse, Ruse, Bulgaria

    Lubin Vulkov

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Manapova, A. (2017). An Approximate Solution of Optimization Problems for Elliptic Interface Problems with Variable Coefficients and Imperfect Contact. In: Dimov, I., Faragó, I., Vulkov, L. (eds) Numerical Analysis and Its Applications. NAA 2016. Lecture Notes in Computer Science(), vol 10187. Springer, Cham. https://doi.org/10.1007/978-3-319-57099-0_53

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  • DOI: https://doi.org/10.1007/978-3-319-57099-0_53

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-57098-3

  • Online ISBN: 978-3-319-57099-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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