@Article{EAJAM-1-215,
author = {Lizhen Chen, Jie Shen and Chuanju Xu},
title = {Spectral Direction Splitting Schemes for the Incompressible Navier-Stokes Equations},
journal = {East Asian Journal on Applied Mathematics},
year = {2018},
volume = {1},
number = {3},
pages = {215--234},
abstract = {<p style="text-align: justify;">We propose and analyze spectral direction splitting schemes for the incompressible
Navier-Stokes equations. The schemes combine a Legendre-spectral method
for the spatial discretization and a pressure-stabilization/direction splitting scheme for
the temporal discretization, leading to a sequence of one-dimensional elliptic equations
at each time step while preserving the same order of accuracy as the usual pressure-stabilization
schemes. We prove that these schemes are unconditionally stable, and
present numerical results which demonstrate the stability, accuracy, and efficiency of
the proposed methods.</p>},
issn = {2079-7370},
doi = {https://doi.org/10.4208/eajam.190411.240511a},
url = {http://global-sci.org/intro/article_detail/eajam/10905.html}
}