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A note on convergence of finite element solutions
Author(s) -
Yamamoto Yoshiyukl,
Tokuda Naoaki
Publication year - 1971
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.1620030404
Subject(s) - finite element method , convergence (economics) , elasticity (physics) , mathematics , plane stress , mixed finite element method , mathematical analysis , node (physics) , hp fem , geometry , finite element limit analysis , structural engineering , physics , engineering , economics , thermodynamics , economic growth
The convergence of nodal displacements obtained by the finite element method is investigated for special element patterns in plane elasticity with the aid of the differential equation derived from the equilibrium condition at each node. The convergence of strains is also discussed. It is shown that averaging is an effective tool for obtaining approximations to strain for some kinds of mesh arrangement. It is also shown that the approach becomes inaccurate along force boundaries.