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New Approach of FEM for Eigenvalue Problems with Non-local Transition Conditions

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Numerical Analysis and Its Applications (NAA 2008)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 5434))

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Abstract

This paper is considered with the finite element method (FEM) for second order eigenvalue problems on a bounded multi-compo- nent domain in the plane. Non-local transition conditions on the interfaces between any two adjacent subdomains are imposed. A new finite element approach is proposed based on much more comprehensible theoretical proofs obtained under lower regularity requirements. The utility of this strategy when superconvergent postprocessing procedure is used as well as the numerical implementation are discussed. Finally, some numerical results are given.

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References

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Author information

Authors and Affiliations

  1. Department of Informatics, Technical University of Gabrovo, 5300, Gabrovo, Bulgaria

    A. B. Andreev

  2. Department of Mathematics, Technical University of Gabrovo, 5300, Gabrovo, Bulgaria

    M. R. Racheva

Authors
  1. A. B. Andreev
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  2. M. R. Racheva
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Editor information

Editors and Affiliations

  1. Institute for Parallel Processing, Bulgarian Academy of Sciences, Acad. G. Bonchev Str. Bl. 25-A, 1113, Sofia, Bulgaria

    Svetozar Margenov

  2. FNSE, Department of Numerical Methods and Statistics, University of Rousse, 8 Studentska str., 7017, Rousse, Bulgaria

    Lubin G. Vulkov

  3. Department of Informatics and Mathematical Modelling, Technical University of Denmark, 2800, Kongens, Lyngby, Denmark

    Jerzy Waśniewski

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© 2009 Springer-Verlag Berlin Heidelberg

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Andreev, A.B., Racheva, M.R. (2009). New Approach of FEM for Eigenvalue Problems with Non-local Transition Conditions. In: Margenov, S., Vulkov, L.G., Waśniewski, J. (eds) Numerical Analysis and Its Applications. NAA 2008. Lecture Notes in Computer Science, vol 5434. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-00464-3_15

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  • DOI: https://doi.org/10.1007/978-3-642-00464-3_15

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-00463-6

  • Online ISBN: 978-3-642-00464-3

  • eBook Packages: Computer ScienceComputer Science (R0)

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