Second-Order Asymptotic Expansion for an Eigenvalue Set in Domain with Small Iris

A Bendali,S Tordeux,A Tizaoui,J P Vila

doi:10.1007/978-3-642-12110-4_115

Second-Order Asymptotic Expansion for an Eigenvalue Set in Domain with Small Iris

A Bendali, S Tordeux + Show 2 more

https://doi.org/10.1007/978-3-642-12110-4_115

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Publication Date: Jan 1, 2010

Citations: 5

Affiliation: Toulouse Mathematics Institute, Institut National des Sciences Appliquées de Toulouse

#Small Iris #Second-Order Asymptotic Expansion + Show 8 more

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Abstract

We derive the second-order asymptotic expansion of an eigenvalue problem for the Laplace eigenfunction with Dirichlet boundary conditions set in a domain corresponding to two cavities linked by a small iris. Several convergence rates are obtained and illustrated by numerical experiments.

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