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A note on universal matrices for triangular finite elements for the quasi‐harmonic equation
Author(s) -
Subramanian G.,
Bose C. Jeyachandra,
Babu C. Ramesh
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.1620190410
Subject(s) - finite element method , mathematics , simple (philosophy) , element (criminal law) , harmonic , matrix (chemical analysis) , stiffness matrix , mathematical analysis , triangular matrix , mixed finite element method , plane (geometry) , stiffness , geometry , pure mathematics , structural engineering , physics , engineering , materials science , philosophy , epistemology , quantum mechanics , invertible matrix , political science , law , composite material
An algorithm to generate universal matrices for plane triangular finite elements for the general ‘quasi‐harmonic’ equation is presented. For every member of the triangle family three numerical universal matrices are obtained which are independent of the size, shape and ‘material’ properties of the element. Of these, two are basic and the third can be generated from one of these two. The element ‘stiffness’ matrix is conveniently generated by manipulating these two basic matrices taking into account the size, shape and material properties of the element in a simple manner.