@Article{AAMM-8-3,
author = {Zhang, Sufang and Yan, Hongxia and Jia, Hongen},
title = {A Two-Level Method for Pressure Projection Stabilized P<sub>1</sub> Nonconforming Approximation of the Semi-Linear Elliptic Equations},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2016},
volume = {8},
number = {3},
pages = {386--398},
abstract = {<p style="text-align: justify;">In this paper, we study a new stabilized method based on the local pressure
projection to solve the semi-linear elliptic equation. The proposed scheme combines
nonconforming finite element pairs NCP<sub>1</sub>−P<sub>1&nbsp;</sub>triangle element and two-level method,
which has a number of attractive computational properties: parameter-free, avoiding
higher-order derivatives or edge-based data structures, but have more favorable stability
and less support sets. Stability analysis and error estimates have been done. Finally,
numerical experiments to check estimates are presented.</p>},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.2014.m842},
url = {https://global-sci.com/article/73337/a-two-level-method-for-pressure-projection-stabilized-psub1sub-nonconforming-approximation-of-the-semi-linear-elliptic-equations}
}