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Volume 17, Issue 2
Nonlinear Galerkin Method and Crank-Nicolson Method for Viscous Incompressible Flow

Yin-Nian He, Dong-Sheng Li & Kai-Tai Li

J. Comp. Math., 17 (1999), pp. 139-158.

Published online: 1999-04

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  • Abstract

In this article we discuss a new full discrete scheme for the numerical solution of the Navier-Stokes equations modeling viscous incompressible flow. This scheme consists of nonlinear Galerkin method using mixed finite elements and Crank-Nicolson method. Next, we provide the second-order convergence accuracy of numerical solution corresponding to this scheme. Compared with the usual Galerkin scheme, this scheme can save a large amount of computational time under the same convergence accuracy.  

  • Keywords

Nonlinear Galerkin method, Crank-Nicolson method, Viscous incompressible flow.

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COPYRIGHT: © Global Science Press

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@Article{JCM-17-139, author = {He , Yin-NianLi , Dong-Sheng and Li , Kai-Tai}, title = {Nonlinear Galerkin Method and Crank-Nicolson Method for Viscous Incompressible Flow}, journal = {Journal of Computational Mathematics}, year = {1999}, volume = {17}, number = {2}, pages = {139--158}, abstract = {

In this article we discuss a new full discrete scheme for the numerical solution of the Navier-Stokes equations modeling viscous incompressible flow. This scheme consists of nonlinear Galerkin method using mixed finite elements and Crank-Nicolson method. Next, we provide the second-order convergence accuracy of numerical solution corresponding to this scheme. Compared with the usual Galerkin scheme, this scheme can save a large amount of computational time under the same convergence accuracy.  

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9089.html} }
TY - JOUR T1 - Nonlinear Galerkin Method and Crank-Nicolson Method for Viscous Incompressible Flow AU - He , Yin-Nian AU - Li , Dong-Sheng AU - Li , Kai-Tai JO - Journal of Computational Mathematics VL - 2 SP - 139 EP - 158 PY - 1999 DA - 1999/04 SN - 17 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9089.html KW - Nonlinear Galerkin method, Crank-Nicolson method, Viscous incompressible flow. AB -

In this article we discuss a new full discrete scheme for the numerical solution of the Navier-Stokes equations modeling viscous incompressible flow. This scheme consists of nonlinear Galerkin method using mixed finite elements and Crank-Nicolson method. Next, we provide the second-order convergence accuracy of numerical solution corresponding to this scheme. Compared with the usual Galerkin scheme, this scheme can save a large amount of computational time under the same convergence accuracy.  

Yin-Nian He, Dong-Sheng Li & Kai-Tai Li. (1970). Nonlinear Galerkin Method and Crank-Nicolson Method for Viscous Incompressible Flow. Journal of Computational Mathematics. 17 (2). 139-158. doi:
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