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On finite element integration in natural co‐ordinates
Author(s) -
Eisenberg Martin A.,
Malvern Lawrence E.
Publication year - 1973
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.1620070421
Subject(s) - finite element method , ordinate , mathematics , element (criminal law) , polynomial , algebra over a field , mathematical analysis , pure mathematics , geometry , structural engineering , engineering , political science , law
Integration formulas for polynomial expressions in terms of natural co‐ordinates are extensively quoted without proof in standard references on finite element theory. A derivation of these relations is presented and their application is extended to non‐integral exponents.