The shape parameter in the shifted surface spline III
In: Engineering analysis with boundary elements, Jg. 36 (2012), Heft 11, S. 1604-1617
Online
academicJournal
- print, 15 ref
This is a continuation of our study about shape parameter, based on an approach very different from that of Luh [1,2]. Here we adopt an error bound of convergence order O(√dω1/d) as d→0, where 0 < ω < 1 is a constant and d denotes essentially the fill-distance. The constant ω is much smaller than the one appears in Luh [1,2] where the error bound is O(ω1/d) only. Moreover, the constant ω were only mildly depends on the dimension n. It means that for high-dimensional problems the criteria of choosing the shape parameter presented in this paper are much better than those of Luh [1,2]. The drawback is that the distribution of data points must be slightly controlled.
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The shape parameter in the shifted surface spline III
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Autor/in / Beteiligte Person: | LUH, Lin-Tian |
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Zeitschrift: | Engineering analysis with boundary elements, Jg. 36 (2012), Heft 11, S. 1604-1617 |
Veröffentlichung: | Kidlington: Elsevier, 2012 |
Medientyp: | academicJournal |
Umfang: | print, 15 ref |
ISSN: | 0955-7997 (print) |
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