@Article{IJNAM-17-532,
author = {Franz , Sebastian and Roos , Hans-G.},
title = {Error Estimates in Balanced Norms of Finite Element Methods for Higher Order Reaction-Diffusion Problems},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2020},
volume = {17},
number = {4},
pages = {532--542},
abstract = {<p style="text-align: justify;">Error estimates of finite element methods for reaction-diffusion problems are often
realised in the related energy norm. In the singularly perturbed case, however, this norm is not
adequate. A different scaling of the $H$<sup>$m$</sup>&nbsp;seminorm for 2$m$-th order problems leads to a balanced
norm which reflects the layer behaviour correctly. We prove error estimates in such balanced
norms and improve thereby existing estimates known in literature.</p>},
issn = {2617-8710},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/ijnam/17868.html}
}