TY - JOUR
T1 - Convergence of Legendre Methods for Navier-Stokes Equations
AU - Chen , Zheng-Ting
AU - E , Wei-Nan
JO - Journal of Computational Mathematics
VL - 4
SP - 298
EP - 311
PY - 1994
DA - 1994/12
SN - 12
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/10213.html
KW - 
AB - <p style="text-align: justify;">This paper is concerned with spectral type of methods using Legendre polynomials. Both Galerkin and collocation approximations for the Navier-Stokes equations are considered and their rates of convergence are obtained. As a consequence, it is shown that these methods achieve spectral accuracy if the solutions to the Navier-Stokes equations are smooth.</p>