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Volume 11, Issue 2
Matched Asymptotic Expansions of the Eigenvalues of a 3-D Boundary-Value Problem Relative to Two Cavities Linked by a Hole of Small Size

Abderrahmane Bendali, M'Barek Fares, Abdelkader Tizaoui & Sébastien Tordeux

DOI: 10.4208/cicp.141209.280610s

Commun. Comput. Phys., 11 (2012), pp. 456-471.

Published online: 2012-12

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  • 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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@Article{CiCP-11-456, author = {Abderrahmane Bendali, M'Barek Fares, Abdelkader Tizaoui and Sébastien Tordeux}, title = {Matched Asymptotic Expansions of the Eigenvalues of a 3-D Boundary-Value Problem Relative to Two Cavities Linked by a Hole of Small Size}, journal = {Communications in Computational Physics}, year = {2012}, volume = {11}, number = {2}, pages = {456--471}, 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.


}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.141209.280610s}, url = {http://global-sci.org/intro/article_detail/cicp/7372.html} }
TY - JOUR T1 - Matched Asymptotic Expansions of the Eigenvalues of a 3-D Boundary-Value Problem Relative to Two Cavities Linked by a Hole of Small Size AU - Abderrahmane Bendali, M'Barek Fares, Abdelkader Tizaoui & Sébastien Tordeux JO - Communications in Computational Physics VL - 2 SP - 456 EP - 471 PY - 2012 DA - 2012/12 SN - 11 DO - http://doi.org/10.4208/cicp.141209.280610s UR - https://global-sci.org/intro/article_detail/cicp/7372.html KW - AB -

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.


Abderrahmane Bendali, M'Barek Fares, Abdelkader Tizaoui and Sébastien Tordeux. (2012). 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. 11 (2). 456-471. doi:10.4208/cicp.141209.280610s
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