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Volume 12, Issue 4
Convergence of Legendre Methods for Navier-Stokes Equations

Zheng-Ting Chen & Wei-Nan E

J. Comp. Math., 12 (1994), pp. 298-311.

Published online: 1994-12

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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.

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@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} }
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 -

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.

Zheng-Ting Chen & Wei-Nan E. (2019). Convergence of Legendre Methods for Navier-Stokes Equations. Journal of Computational Mathematics. 12 (4). 298-311. doi:
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