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Families of consistent conforming elements with singular derivative fields
Author(s) -
Stern Morris
Publication year - 1979
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.1620140307
Subject(s) - finite element method , quadrature (astronomy) , mathematics , stiffness , mathematical analysis , structural engineering , physics , engineering , optics
Families of two‐and three‐dimensional finite elements are constructed for use in modelling fields with singular derivatives. The elements are complete over linear fields, conform with regular elements, and are easily programmed. A low order exact quadrature rule is also derived for element stiffness calculations.