A variational approximation method for 2nd order elliptic eigenvalue problems in a composite structure with nonstandard boundary conditions |
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Authors: | Roger Van Keer Hennie De Schepper |
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Affiliation: | (1) Department of Mathematical Analysis, University of Ghent, Galglaan 2, 9000 Gent, Belgium |
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Abstract: | In this paper we deal with the finite element analysis of a class of eigenvalue problems (EVPs) in a composite structure in the plane, consisting of rectangular subdomains which enclose an intermediate region. Nonlocal boundary conditions (BCs) of Robin type are imposed on the inner boundaries, i.e. on the interfaces of the respective subdomains with the intermediate region. On the eventual interfaces between two subdomains we impose discontinuous transition conditions (TCs). Finally, we have classical local BCs at the outer boundaries. Such problems are related to some heat transfer problems e.g. in a horizontal cross section of a wall enclosing an air cave. |
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Keywords: | 35J20 65D30 65N25 65N30 |
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