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Extended-domain-eig...
Extended-domain-eigenfunction method (EDEM): a study of ill posedness and regularization
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- Aarao, J (författare)
- University of S Australia, Australia
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- Miklavcic, Stan J. (författare)
- Linköpings universitet,Institutionen för teknik och naturvetenskap,Tekniska högskolan
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- Ward, D A. (författare)
- University of S Australia, Australia
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(creator_code:org_t)
- 2013-02-11
- 2013
- Engelska.
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Ingår i: Journal of Physics A. - : Institute of Physics. - 1751-8113 .- 1751-8121. ; 46:8
- Relaterad länk:
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https://urn.kb.se/re...
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visa fler...
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https://doi.org/10.1...
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Abstract
Ämnesord
Stäng
- The extended-domain-eigenfunction method (EDEM) proposed for solving elliptic boundary value problems on annular-like domains requires an inversion process. The procedure thus represents an ill-posed problem, whose numerical solution involves an ill-conditioned system of equations. In this paper, the ill-posed nature of EDEM is studied and numerical solutions based on regularization schemes are considered. It is shown that the EDEM solution methodology lends itself naturally to a formulation in terms of the well-known iterative Landweber method and the more general and faster converging semi-iterative regularization schemes. Theoretical details and numerical results of the regularization schemes are presented for the case of the two-dimensional Laplace operator on annular domains.
Nyckelord
- MEDICINE
- MEDICIN
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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