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

  • A. B. Andreev
  • M. R. Racheva
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 5434)


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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Copyright information

© Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  • A. B. Andreev
    • 1
  • M. R. Racheva
    • 2
  1. 1.Department of InformaticsTechnical University of GabrovoGabrovoBulgaria
  2. 2.Department of MathematicsTechnical University of GabrovoGabrovoBulgaria

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