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The extended-domain-eigenfunction method for solving elliptic boundary value problems with annular domains
University of South Australia.
University of South Australia.
Linköping University, Department of Science and Technology. Linköping University, The Institute of Technology.
University of South Australia.
2010 (English)In: JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, ISSN 1751-8113, Vol. 43, no 18, 185202- p.Article in journal (Refereed) Published
Abstract [en]

Standard analytical solutions to elliptic boundary value problems on asymmetric domains are rarely, if ever, obtainable. In this paper, we propose a solution technique wherein we embed the original domain into one with simple boundaries where the classical eigenfunction solution approach can be used. The solution in the larger domain, when restricted to the original domain, is then the solution of the original boundary value problem. We call this the extended-domain-eigenfunction method. To illustrate the methods strength and scope, we apply it to Laplaces equation on an annular-like domain.

Place, publisher, year, edition, pages
Iop , 2010. Vol. 43, no 18, 185202- p.
National Category
Engineering and Technology
URN: urn:nbn:se:liu:diva-55520DOI: 10.1088/1751-8113/43/18/185202ISI: 000276838600007OAI: diva2:316233
Available from: 2010-04-30 Created: 2010-04-30 Last updated: 2010-04-30

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Miklavcic, Stan
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ReferencesLink to record
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