TY - JOUR
T1 - A Two-Level Method for Pressure Projection Stabilized P<sub>1</sub> Nonconforming Approximation of the Semi-Linear Elliptic Equations
AU - Zhang , Sufang
AU - Yan , Hongxia
AU - Jia , Hongen
JO - Advances in Applied Mathematics and Mechanics
VL - 3
SP - 386
EP - 398
PY - 2018
DA - 2018/05
SN - 8
DO - http://doi.org/10.4208/aamm.2014.m842
UR - https://global-sci.org/intro/article_detail/aamm/12094.html
KW - Semi-linear elliptic equations, two-level method, nonconforming finite element method, stabilized method.
AB - <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>