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The Cruciform Crack Problem and Sigmoidal Transformations


Elliott, D, The Cruciform Crack Problem and Sigmoidal Transformations, Mathematical Methods in Applied Sciences, 20, (2) pp. 121-132. ISSN 0170-4214 (1997) [Refereed Article]

DOI: doi:10.1002/(SICI)1099-1476(19970125)20:2<121::AID-MMA840>3.0.CO;2-7


A sigmoidal transformation is an S-shaped one-to-one mapping of a compact interval onto itself. Various sigmoidal transformations are discussed, some of which are used to find approximate solutions of an integral equation, with a fixed singularity, arising from a problem in elasticity. In particular it is shown that, in this context, a sigmoidal transformation due to Sidi gives the best results.

Item Details

Item Type:Refereed Article
Research Division:Mathematical Sciences
Research Group:Numerical and computational mathematics
Research Field:Numerical analysis
Objective Division:Expanding Knowledge
Objective Group:Expanding knowledge
Objective Field:Expanding knowledge in the mathematical sciences
UTAS Author:Elliott, D (Professor David Elliott)
ID Code:11511
Year Published:1997
Web of Science® Times Cited:22
Deposited By:Mathematics
Deposited On:1997-08-01
Last Modified:2011-08-12

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