A Two-Level Method for Pressure Projection Stabilized P<sub>1</sub> Nonconforming Approximation of the Semi-Linear Elliptic Equations
Year: 2016
Author: Sufang Zhang, Hongxia Yan, Hongen Jia
Advances in Applied Mathematics and Mechanics, Vol. 8 (2016), Iss. 3 : pp. 386–398
Abstract
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−P1 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.2014.m842
Advances in Applied Mathematics and Mechanics, Vol. 8 (2016), Iss. 3 : pp. 386–398
Published online: 2016-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 13
Keywords: Semi-linear elliptic equations two-level method nonconforming finite element method stabilized method.