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+

+ Error comparison + +

+ +

+Checking these numbers, we see that for global refinement, the error +is proportional to O(1/(sqrt(N) log(N))), and for the dual +estimator O(1/N). Generally speaking, we see that the dual +weighted error estimator is better than the other refinement +indicators, at least when compared with those that have a similarly +regular behavior. The Kelly indicator produces smaller errors, but +jumps about the picture rather irregularly, with the error also +changing signs sometimes. Therefore, its behavior does not allow to +extrapolate the results to larger values of N. Furthermore, if we +trust the error estimates of the dual weighted error estimator, the +results can be improved by adding the estimated error to the computed +values. In terms of reliability, the weighted estimator is thus better +than the Kelly indicator, although the latter sometimes produces +smaller errors.

-- 2.39.5