Convergence of Legendre Methods for Navier-Stokes Equations

Convergence of Legendre Methods for Navier-Stokes Equations

Year:    1994

Author:    Zheng-Ting Chen, Wei-Nan E

Journal of Computational Mathematics, Vol. 12 (1994), Iss. 4 : pp. 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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/1994-JCM-10213

Journal of Computational Mathematics, Vol. 12 (1994), Iss. 4 : pp. 298–311

Published online:    1994-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    14

Keywords:   

Author Details

Zheng-Ting Chen

Wei-Nan E