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Number of non‐zero blocks in the stiffness matrix of the finite element network
Author(s) -
Feng Zhenxing
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.1620190704
Subject(s) - finite element method , stiffness matrix , direct stiffness method , zero (linguistics) , stiffness , mathematics , matrix (chemical analysis) , element (criminal law) , series (stratigraphy) , mixed finite element method , extended finite element method , mathematical analysis , structural engineering , engineering , paleontology , linguistics , philosophy , materials science , political science , law , composite material , biology
In Reference 1 a series of general formulae for evaluating the total number of non‐zero blocks in the stiffness matrix, both of two‐dimensional and three‐dimensional (arbitrary polygonal/polyhedral) finite element networks, was presented. In this paper, an alternative, more direct and efficient method for deriving such formulae is presented. In addition, this new method can be used for more complex situations. In fact, it may be used for almost all kinds of finite element networks.