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High‐order curved finite elements
Author(s) -
Wachspress E. L.
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.1620170507
Subject(s) - finite element method , order (exchange) , class (philosophy) , basis (linear algebra) , basis function , mathematics , mathematical analysis , geometry , computer science , structural engineering , engineering , finance , artificial intelligence , economics
Recent finite element analysis of adaptive refinement has focused attention on high‐order approximation within elements. High‐order approximation may be attained over curved elements with either rational basis functions expressed directly in the global co‐ordinates or with a particular class of isoparametric basis functions. Theory for construction of high‐order rational bases yields modifications to the blending method for a special class of elements in order to achieve higher order approximation within these elements.