Two-level stabilized nonconforming finite element method for the Stokes equations
Haiyan Su; Pengzhan Huang; Xinlong Feng
Applications of Mathematics (2013)
- Volume: 58, Issue: 6, page 643-656
- ISSN: 0862-7940
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topSu, Haiyan, Huang, Pengzhan, and Feng, Xinlong. "Two-level stabilized nonconforming finite element method for the Stokes equations." Applications of Mathematics 58.6 (2013): 643-656. <http://eudml.org/doc/260725>.
@article{Su2013,
abstract = {In this article, we present a new two-level stabilized nonconforming finite elements method for the two dimensional Stokes problem. This method is based on a local Gauss integration technique and the mixed nonconforming finite element of the $NCP_\{1\}-P_\{1\}$ pair (nonconforming linear element for the velocity, conforming linear element for the pressure). The two-level stabilized finite element method involves solving a small stabilized Stokes problem on a coarse mesh with mesh size $H$ and a large stabilized Stokes problem on a fine mesh size $h=H/3$. Numerical results are presented to show the convergence performance of this combined algorithm.},
author = {Su, Haiyan, Huang, Pengzhan, Feng, Xinlong},
journal = {Applications of Mathematics},
keywords = {Stokes problem; two-level method; nonconforming finite element; error estimate; numerical result; Stokes equation; two-level method; nonconforming finite element; stability; error estimate; numerical result},
language = {eng},
number = {6},
pages = {643-656},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Two-level stabilized nonconforming finite element method for the Stokes equations},
url = {http://eudml.org/doc/260725},
volume = {58},
year = {2013},
}
TY - JOUR
AU - Su, Haiyan
AU - Huang, Pengzhan
AU - Feng, Xinlong
TI - Two-level stabilized nonconforming finite element method for the Stokes equations
JO - Applications of Mathematics
PY - 2013
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 58
IS - 6
SP - 643
EP - 656
AB - In this article, we present a new two-level stabilized nonconforming finite elements method for the two dimensional Stokes problem. This method is based on a local Gauss integration technique and the mixed nonconforming finite element of the $NCP_{1}-P_{1}$ pair (nonconforming linear element for the velocity, conforming linear element for the pressure). The two-level stabilized finite element method involves solving a small stabilized Stokes problem on a coarse mesh with mesh size $H$ and a large stabilized Stokes problem on a fine mesh size $h=H/3$. Numerical results are presented to show the convergence performance of this combined algorithm.
LA - eng
KW - Stokes problem; two-level method; nonconforming finite element; error estimate; numerical result; Stokes equation; two-level method; nonconforming finite element; stability; error estimate; numerical result
UR - http://eudml.org/doc/260725
ER -
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