A Two-Level Method for Pressure Projection Stabilized P<sub>1</sub> Nonconforming Approximation of the Semi-Linear Elliptic Equations

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−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.

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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.

Author Details

Sufang Zhang

Hongxia Yan

Hongen Jia