Qx. Niu et Ms. Shephard, SUPERCONVERGENT BOUNDARY STRESS EXTRACTION AND SOME EXPERIMENTS WITH ADAPTIVE POINTWISE ERROR CONTROL, International journal for numerical methods in engineering, 37(5), 1994, pp. 877-891
In Reference 1, a class of extraction formulations were developed to r
ecover solution quantities with superconvergent accuracy. As a continu
ation, this paper documents some new developments in the boundary stre
ss extraction method to expand its applications to boundary locations
that are not traction-free. Furthermore, the convergence characteristi
cs 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 t
he development of an adaptive approach that can obtain prescribed poin
twise solution accuracy with optimal computation efficiency.