## 摘要

An L^{2} least-squares finite element method for second-order elliptic problems having non-symmetric diffusion coefficient matrix in two- and three-dimensional bounded domains is proposed and analyzed. The main result is the coercivity estimate of the bilinear form associated with the least-squares functional, which is established by using more direct techniques than that in Ref. [7]. It is proved that the method is not subject to the Ladyzhenskaya-Babuška-Brezzi condition and that the finite element approximation yields a symmetric positive definite linear system with condition number O(h^{-2}). Optimal error estimates in the H^{1}(Ω) × H(div; Ω) norm are derived. An equivalent a posteriori error estimator in the above norm is described. Some concluding remarks are also given.

原文 | ???core.languages.en_GB??? |
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頁（從 - 到） | 419-432 |

頁數 | 14 |

期刊 | Numerical Functional Analysis and Optimization |

卷 | 23 |

發行號 | 3-4 |

DOIs | |

出版狀態 | 已出版 - 5月 2002 |