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Superconvergent extraction techniques for finite element analysis
Author(s) -
Niu Qingxiang,
Shephard Mark S.
Publication year - 1993
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.1620360507
Subject(s) - superconvergence , finite element method , convergence (economics) , extraction (chemistry) , boundary (topology) , mixed finite element method , extended finite element method , boundary knot method , boundary value problem , finite element limit analysis , computer science , mathematics , boundary element method , structural engineering , geometry , mathematical analysis , engineering , chemistry , chromatography , economics , economic growth
A class of extraction techniques is developed to recover stresses as well as displacements from finite element solutions. Particular emphasis is placed on the extraction of boundary stresses along slope continuous portions of the boundary. The techniques are superconvergent in that the convergence of the recovered quantities is equal to that of the strain energy. Numerical examples are used to demonstrate that the techniques are efficient and reliable, and can be easily implemented in the finite element analysis environment.