Matched Asymptotic Expansions of the Eigenvalues of a 3-D Boundary-Value Problem Relative to Two Cavities Linked by a Hole of Small Size - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue (Article De Synthèse) Communications in Computational Physics Année : 2015

Matched Asymptotic Expansions of the Eigenvalues of a 3-D Boundary-Value Problem Relative to Two Cavities Linked by a Hole of Small Size

Résumé

Abstract In this article, we consider a domain consisting of two cavities linked by a hole of small size. We derive a numerical method to compute an approximation of the eigenvalues of an elliptic operator without refining in the neighborhood of the hole. Several convergence rates are obtained and illustrated by numerical simulations.
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hal-04551297 , version 1 (18-04-2024)

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Abderrahmane Bendali, M’barek Fares, Abdelkader Tizaoui, Sébastien Tordeux. Matched Asymptotic Expansions of the Eigenvalues of a 3-D Boundary-Value Problem Relative to Two Cavities Linked by a Hole of Small Size. Communications in Computational Physics, 2015, 11 (2), pp.456-471. ⟨10.4208/cicp.141209.280610s⟩. ⟨hal-04551297⟩
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