Volume 8, Issue 3
A Two-Level Method for Pressure Projection Stabilized P1 Nonconforming Approximation of the Semi-Linear Elliptic Equations

Sufang Zhang, Hongxia Yan & Hongen Jia

Adv. Appl. Math. Mech., 8 (2016), pp. 386-398.

Published online: 2018-05

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  • 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−P1triangle 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.

  • Keywords

Semi-linear elliptic equations, two-level method, nonconforming finite element method, stabilized method.

  • AMS Subject Headings

35Q30, 74S05, 65N30

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{AAMM-8-386, author = {}, title = {A Two-Level Method for Pressure Projection Stabilized P1 Nonconforming Approximation of the Semi-Linear Elliptic Equations}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2018}, volume = {8}, number = {3}, pages = {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−P1triangle 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.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.2014.m842}, url = {http://global-sci.org/intro/article_detail/aamm/12094.html} }
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