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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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
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