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Superconvergent boundary stress extraction and some experiments with adaptive pointwise error control
Author(s) -
Niu Qingxiang,
Shephard Mark S.
Publication year - 1994
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.1620370511
Subject(s) - pointwise , superconvergence , traction (geology) , computation , boundary (topology) , continuation , convergence (economics) , pointwise convergence , extraction (chemistry) , mathematics , stress (linguistics) , process (computing) , computer science , mathematical optimization , finite element method , algorithm , mathematical analysis , structural engineering , engineering , mechanical engineering , approx , chemistry , linguistics , philosophy , chromatography , economics , programming language , economic growth , operating system
In Reference 1, a class of extraction formulations were developed to recover solution quantities with superconvergent accuracy. As a continuation, this paper documents some new developments in the boundary stress extraction method to expand its applications to boundary locations that are not traction‐free. Furthermore, the convergence characteristics of the extracted pointwise stress are investigated in an h ‐adaptive process using different adaptive error control schemes. Observations from those numerical experiments provide some initial insight toward the development of an adaptive approach that can obtain prescribed pointwise solution accuracy with optimal computation efficiency.