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An Iterative Process for the Solution of Semi-Linear Elliptic Equations with Discontinuous Coefficients and Solution

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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

We consider and investigate boundary value problems (BVPs) for semi-linear elliptic equations with discontinuous coefficients and solutions (with imperfect contact matching conditions). Finite difference approximations of these problems are constructed. An iterative method for solving difference BVPs of contact for semi-linear elliptic equations with iterations on the inner boundary where the coefficients and solutions are discontinuous is constructed and validated. The convergence rate of iterations (with calculated constants) is estimated.

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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References

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Authors and Affiliations

  1. Bashkir State University, Zaki Validi Street, 32, Ufa, 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. 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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Manapova, A. (2015). An Iterative Process for the Solution of Semi-Linear Elliptic Equations with Discontinuous Coefficients and Solution. 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_48

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  • DOI: https://doi.org/10.1007/978-3-319-26520-9_48

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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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