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Forbidden nodes for curved finite elements
Author(s) -
Stephenson J. W.,
Manohar R.
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.1620140913
Subject(s) - node (physics) , uniqueness , mathematics , point (geometry) , geometry , finite element method , mathematical analysis , pure mathematics , engineering , structural engineering
It is shown here that certain interpolating polynomials of degrees four and five may not always be uniquely defined on triangular‐shaped elements which have one curved side. Conditions which indicate non‐uniqueness are given, together with some geometrical interpretations concerning the location of the node on the curved side. A numerical example is given to demonstrate that there ar curves for which every point is unsuitable to be chosen as a node.