@Article{IJNAM-3-3,
author = {Schatz, H., Alfred},
title = {Some New Local Error Estimates in Negative Norms with an Application to Local a Posteriori Error Estimation},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2006},
volume = {3},
number = {3},
pages = {371--376},
abstract = {<p style="text-align: justify;">Here we survey some previously published results and
announce some that have been newly obtained. We first review some of the
results in [3] on estimates for the finite element error at a point.
These estimates and analogous ones in [4] and [7] have been applied to
problems in a posteriori estimates [2], [8], superconvergence [5] and
others [9], [10]. We then discuss the extension of these estimates to
local estimates in $L_∞$ based negative norms. These estimates have been
newly obtained and are applied to the problem of obtaining an
asymptotically exact a posteriori estimator for the maximum norm of the
solution error on each element.</p>},
issn = {2617-8710},
doi = {https://doi.org/2006-IJNAM-908},
url = {https://global-sci.com/article/83834/some-new-local-error-estimates-in-negative-norms-with-an-application-to-local-a-posteriori-error-estimation}
}