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各向异性网格下具有积分型边界条件的积分微分方程的超收敛性分析 被引量:2

The Superconvergence Analysis of Interracial and Differential Equation with Interracial Boundary Condition on Anisotropic Meshes
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摘要 讨论了各向异性网格下线性三角形有限元对具有积分型边界条件的积分微分方程的逼近问题.通过引入新的技巧与方法,得到了相应的超逼近性质和超收敛性结果,从而进一步拓宽了有限元的应用范围. Linear triangular element is considered to solve interracial and differential equation with interracial boundary condition on special restricted anisotropic meshes in 2D. The superclose property and superconvergence are obtained by a set of novel techniques. Thus the applicable scope of finite element method is extended.
出处 《信阳师范学院学报(自然科学版)》 CAS 北大核心 2006年第4期392-394,410,共4页 Journal of Xinyang Normal University(Natural Science Edition)
基金 国家自然科学基金项目(10371113)
关键词 各向异性网格 线性三角形元 积分型边界条件 积分微分方程 超逼近性和超收敛 anisotropic meshes linear triangular element interracial boundary condition interracial and differential equation superclose property superconvergence
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