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Mid‐node admissible spaces for quadratic triangular arbitrarily curved 2D finite elements
Author(s) -
Salem Ahmed Z. I.,
Canann Scott A.,
Saigal Sunil
Publication year - 2000
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 - 10.1002/1097-0207(20010120)50:2<253::aid-nme10>3.0.co;2-g
Subject(s) - finite element method , quadratic equation , jacobian matrix and determinant , node (physics) , mathematics , extension (predicate logic) , metric (unit) , enhanced data rates for gsm evolution , element (criminal law) , space (punctuation) , geometry , topology (electrical circuits) , mathematical analysis , computer science , engineering , structural engineering , combinatorics , artificial intelligence , operations management , law , political science , programming language , operating system
Abstract This paper presents the extension of the mid‐node admissible space (MAS) concept for two‐dimensional quadratic triangular element (2DQTE) to the case when more than one edge is curved. The mathematical background for the MAS for 2DQTE with more than one edge curved is developed. A metric, based on the determination of the Jacobian distribution, whose evaluation and implementation is aided through the use of the MAS is developed. The evaluation of the quality of an element based on this metric and procedures to repair an element to produce better results are also presented. Copyright © 2001 John Wiley & Sons, Ltd.