## 摘要

This paper is devoted to the error analysis of least-squares finite element approximations to the stationary incompressible Oseen type equations with the homogeneous velocity boundary condition. With the vorticity as a new dependent variable, we consider two first-order system problems for the Oseen type equations in the velocityvorticity-pressure and the velocity-vorticity-Bernoulli pressure formulations. The least-squares functional is defined in terms of the sum of the squared H^{-1} and L^{2} norms of the residual equations over a suitable product function space. The well-posedness of the proposed least-squares variational problem is shown. We then analyze the case where the H^{-1} norm in the least-squares functional is replaced by a discrete functional to make the computation feasible. Optimal error estimates for all unknowns are derived.

原文 | ???core.languages.en_GB??? |
---|---|

頁（從 - 到） | 77-88 |

頁數 | 12 |

期刊 | Applied Numerical Mathematics |

卷 | 52 |

發行號 | 1 |

DOIs | |

出版狀態 | 已出版 - 1月 2005 |

## 指紋

深入研究「Analysis of [H^{-1}, L

^{2}, L

^{2}] first-order system least squares for the incompressible Oseen type equations」主題。共同形成了獨特的指紋。