full
search.png

Search

close.png

Cancel

arrow
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

DOI: 10.4208/aamm.2014.m842

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

Published online: 2018-05

Preview Purchase PDF 2212 32991

Cited by

google scholar semantic scholar
Export citation
  • 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.

  • 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

  • Email address
  • BibTex
  • RIS
  • TXT
@Article{AAMM-8-386, author = {Zhang , SufangYan , Hongxia and Jia , Hongen}, 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−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.

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

Zhang , SufangYan , Hongxia and Jia , Hongen. (2018). A Two-Level Method for Pressure Projection Stabilized P1 Nonconforming Approximation of the Semi-Linear Elliptic Equations. Advances in Applied Mathematics and Mechanics. 8 (3). 386-398. doi:10.4208/aamm.2014.m842
Copy to clipboard
BibteX RIS TXT
The citation has been copied to your clipboard