Skip to Main content Skip to Navigation
Journal articles

Asymptotic expansions of the eigenvalues of a 2-D boundary-value problem relative to two cavities linked by a hole of small size

Abstract : This note presents the derivation of the second-order asymptotic expansion of the eigenvalues and the eigenfunctions of the operator associated to an interior elliptic equation supplemented by a Dirichlet boundary condition on a domain consisting of two cavities linked by a hole of small size. The asymptotic expansion is carried out with respect to the size of the hole. The main feature of the method is to yield a robust numerical procedure making it possible to compute the eigenvalues without resorting to a refined mesh around the hole.
Complete list of metadata

https://hal.inria.fr/inria-00527437
Contributor : Sébastien Tordeux Connect in order to contact the contributor
Submitted on : Tuesday, October 19, 2010 - 11:55:48 AM
Last modification on : Wednesday, June 1, 2022 - 4:40:19 AM

Identifiers

Citation

Abderrahmane Bendali, Alain Huard, Abdelkader Tizaoui, Sébastien Tordeux, Jean-Paul Vila. Asymptotic expansions of the eigenvalues of a 2-D boundary-value problem relative to two cavities linked by a hole of small size. Comptes rendus de l'Académie des sciences. Série I, Mathématique, Elsevier, 2009, 347 (19-20), pp.1147--1152. ⟨10.1016/j.crma.2009.09.005⟩. ⟨inria-00527437⟩

Share

Metrics

Record views

136