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对流占优扩散微分方程的最小二乘特征有限元方法 被引量:1

A Least-squares Characteristics Finite Element Procedures for Convection-dominated Diffusion Differential Equations
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摘要 对定义在三维空间中的对流占优扩散微分方程提出使用一种数值方法:最小二乘特征有限元方法.将最小二乘混合元法与特征有限元法有效地结合起来,构造了一种新的数值方法,并得到最优阶估计. In paper, the numerical method of a least - squares Galerkin finite element scheme with the method of characteristics is proposed for convection - dominated parabolic differential equation which defined in the kind of three dimensional domain. A least - squares mixed element and the method of characteristics finite element are combined to construct a new numerical method and get optimal estimates.
出处 《怀化学院学报》 2008年第11期1-4,共4页 Journal of Huaihua University
基金 国家自然科学基金项目(NO:10771021) 省教育厅优秀青年项目(NO:06B003)
关键词 对流占优扩散方程 最小二乘混合有限元法 特征有限元 误差估计 Convection - diffusion equation least - squares mixed finite element procedures characteristics finite element error estimates
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