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Crypto‐DOF finite elements
Author(s) -
Kanarachos A.,
Provatidis Ch.
Publication year - 1989
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.1620280415
Subject(s) - finite element method , degrees of freedom (physics and chemistry) , mathematics , mixed finite element method , extended finite element method , element (criminal law) , differential (mechanical device) , mathematical analysis , computer science , engineering , structural engineering , physics , law , quantum mechanics , political science , aerospace engineering
New finite elements, called crypto‐DOF elements, are introduced, utilizing degrees of freedom that satisfy the differential equation but do not appear explicitly in the discrete equations. The crypto‐DOF elements can be advantageous in adaptive finite element techniques, and to approximate singular‐type eigensolutions (e.g. in convective diffusion or stress concentration problems) without altering the original mesh or introducing new degrees of freedom. In this paper the crypto‐DOF elements, the construction of crypto‐DOF element families and selected numerical results are presented.