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Universal serendipity elements
Author(s) -
Çitipitioǧlu Ergin
Publication year - 1983
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.1620190603
Subject(s) - serendipity , quadratic equation , node (physics) , computer science , order (exchange) , algorithm , theoretical computer science , mathematics , mathematical optimization , engineering drawing , computational science , topology (electrical circuits) , geometry , engineering , combinatorics , structural engineering , physics , finance , astronomy , economics
Universal serendipity elements (USE) are defined as isoparametric elements having linear, quadratic and cubic node configurations at their edges in an arbitrary manner. Formulation of shape functions and their derivatives for USE is presented. A computer algorithm which allows the efficient application of USE is explained. Only corner nodes are kept transparent to the user. Changing the order of USE is fully automated. It is concluded that the USE concept allows interactive mesh refinement in an efficient manner and eliminates the difficulties encountered in the use of higher order isoparametric serendipity elements.