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Bounds on discretization error by special reduced integration of the lagrange family of finite elements
Author(s) -
Kelly D. W.
Publication year - 1980
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.1620151006
Subject(s) - discretization , finite element method , lagrange multiplier , mathematics , discretization error , norm (philosophy) , displacement (psychology) , numerical integration , mathematical optimization , mathematical analysis , structural engineering , engineering , psychology , political science , law , psychotherapist
An analysis is presented which indicates that special reduced integration of the displacement compatible Lagrange family of finite elements can give numerical models preserving characteristics of equilibrium formulations. A number of examples show that bounds on the discretization error can be obtained in both an energy norm and locally. The process is therefore recommended for error analysis and for the assessment of the reliability of displacement compatible finite element solutions.