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Compact representation of triangular finite elements for Poisson's equation
Author(s) -
Tsipouras Paul
Publication year - 1977
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.1620110303
Subject(s) - finite element method , stiffness matrix , mathematics , invariant (physics) , translation (biology) , poisson distribution , element (criminal law) , mathematical analysis , poisson's equation , representation (politics) , stiffness , matrix (chemical analysis) , rotation (mathematics) , poisson's ratio , geometry , mathematical physics , structural engineering , engineering , materials science , law , gene , biochemistry , chemistry , statistics , composite material , politics , messenger rna , political science
The energy expression associated with Poisson's equation is written, for triangular domains, in a form invariant to translation and rotation. The element matrices derived from this depend only on the intrinsic parameters of the element, say the three sides. Considerable savings in storage can be achieved by storing the global stiffness matrix in terms of these element matrices.