TY - JOUR T1 - A Two-Level Method for Pressure Projection Stabilized P1 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 -

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 NCP1−Ptriangle 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.