@Article{AAMM-8-722,
author = {Zhang , Shangyou},
title = {Coefficient Jump-Independent Approximation of the Conforming and Nonconforming Finite Element Solutions},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2018},
volume = {8},
number = {5},
pages = {722--736},
abstract = {<p style="text-align: justify;">A counterexample is constructed. It confirms that the error of conforming
finite element solution is proportional to the coefficient jump, when solving interface
elliptic equations. The Scott-Zhang operator is applied to a nonconforming finite element.
It is shown that the nonconforming finite element provides the optimal order
approximation in interpolation, in $L^2$-projection, and in solving elliptic differential equation,
independent of the coefficient jump in the elliptic differential equation. Numerical
tests confirm the theoretical finding.</p>},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.2015.m931},
url = {http://global-sci.org/intro/article_detail/aamm/12112.html}
}