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Extensions and generalisations of rational and high order transformation methods

✍ Scribed by Robin J.Y. McLeod

Publisher
Elsevier Science
Year
1979
Tongue
English
Weight
734 KB
Volume
5
Category
Article
ISSN
0898-1221

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✦ Synopsis

A review of previously published work extending the rational basis to include Hermite interpolation is given. New high order transformation methods are described for Hermite interpolation. The intimate connection between the two basic methods both in the construction of transformations and the construction of basis functions is highlighted and the basic high order transformation method is generalised to handle elements with an arbitrary number of sides.

πŸ“œ SIMILAR VOLUMES

A numerical comparison of high order tra
A numerical comparison of high order transformation and isoparametric transformation methods
✍ Robin J.Y. McLeod; R. Murphy πŸ“‚ Article πŸ“… 1979 πŸ› Elsevier Science 🌐 English βš– 495 KB

A numerical comparison is made between the quadratic isoparametric transformation method and a second order example of a high order transformation method for the model problem of Laplace's equation on curved domains. Three curved domains are considered and numerical results for several trial solutio