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The extended-domain...
The extended-domain-eigenfunction method for solving elliptic boundary value problems with annular domains
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- Aarao, J (författare)
- University of South Australia
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- Bradshaw-Hajek, B H (författare)
- University of South Australia
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- Miklavcic, Stan (författare)
- Linköpings universitet,Institutionen för teknik och naturvetenskap,Tekniska högskolan
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- Ward, D A (författare)
- University of South Australia
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(creator_code:org_t)
- 2010-04-15
- 2010
- Engelska.
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Ingår i: JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL. - : Iop. - 1751-8113 .- 1751-8121. ; 43:18, s. 185202-
- Relaterad länk:
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https://urn.kb.se/re...
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https://doi.org/10.1...
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Abstract
Ämnesord
Stäng
- 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.
Nyckelord
- TECHNOLOGY
- TEKNIKVETENSKAP
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