## 摘要

A theoretical analysis of the combined finite volume/least squares approximations to boundary value problems for second-order elliptic equations in mixed first-order system formulation with variable coefficients in two- and three-dimensional bounded domains is presented. This method is composed of a direct cell vertex finite volume discretization step and an algebraic least-squares step, where the least-squares procedure is applied after the finite volume discretization process is achieved. An optimal error estimate in the H^{1}(Ω) product norm for continuous piecewise linear approximating function spaces is derived. An equivalent a posteriori error estimator in the H^{1}(Ω) product norm is also proposed and analyzed.

原文 | ???core.languages.en_GB??? |
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頁（從 - 到） | 433-451 |

頁數 | 19 |

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 |