### Abstract

Text in Chinese; Here a practicable algorithm about the nonlinear Galerkin finite element algorithm is presented for the two-dimensional steady incompressible equations of Navier-stokes type is presented (or discassed), also the convergence and regularity of the numerical solution are analy sed .I f the grid parameter H and the finner grid parameter h(h <H)satisfy the conditio n H =O(h 1 2), the present algorithm has convergence rate of the same order as the standard Galerkin finite element algorithm .However , this algorithm is simpler than the Galerkin algorithm and can save a large amount of computational time. Finally, the numerical test is provided, which shows that the above conclusion
is are true.

Original language | English |
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Pages (from-to) | 83-89 |

Journal | Chinese Journal of Computational Physics |

Volume | 14 |

Issue number | 1 |

Publication status | Published - 1997 |

Externally published | Yes |

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## Cite this

Li, G., & He, Y. (1997). Convergence of nonlinear Galerkin finite element algorithm for the steady incompressible equations of the Navier-Stokes type.

*Chinese Journal of Computational Physics*,*14*(1), 83-89.