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Basis functions for general Hsieh-Clough-Tocher triangles, complete or reduced

✍ Scribed by Michel Bernadou; Kamal Hassan


Book ID
102548994
Publisher
John Wiley and Sons
Year
1981
Tongue
English
Weight
296 KB
Volume
17
Category
Article
ISSN
0029-5981

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✦ Synopsis


Abstract

In this note, we give the basis functions (shape functions) for Hsieh‐Clough‐Tocher triangles, complete or reduced. In order to take the best advantage of symmetry and for simplicity, we derive these functions for a general triangle by using simultaneously the ‘area co‐ordinates’ and the so‐called ‘eccentricity parameters’. We conclude with some remarks concerning the implementation.