Superconvergent boundary stress extraction and some experiments with adaptive pointwise error control

Abstract

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 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.