@Article{JCM-12-298, author = {Chen , Zheng-Ting and E , Wei-Nan}, title = {Convergence of Legendre Methods for Navier-Stokes Equations}, journal = {Journal of Computational Mathematics}, year = {1994}, volume = {12}, number = {4}, pages = {298--311}, abstract = {

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.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/10213.html} }