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Basis functions for general Hsieh‐Clough‐Tocher triangles, complete or reduced
Author(s) -
Bernadou Michel,
Hassan Kamal
Publication year - 1981
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620170510
Subject(s) - basis (linear algebra) , mathematics , eccentricity (behavior) , basis function , symmetry (geometry) , simplicity , mathematical analysis , geometry , physics , quantum mechanics , political science , law
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.