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AuthorQingxiang Niu and Mark S. Shephard
TitleSuperconvergent Boundary Stress Extraction and Some Experiments with Adaptive Pointwise Error Control
Year1993
JournalInternational Journal for Numerical Methods in Engineering
Volume37
Pages877-891
AbstractIn 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 is 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.