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关于一个障碍问题的变分不等式各向异性任意四边形有限元的逼近方法 被引量:2

An Anisotropic Quadrilateral Element Approximation of a Variational Inequality with Displacement Obstacle
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摘要 本文研究了一类可用于位移障碍问题的各向异性任意四边形有限元方法,在不要求通常正则性和拟一致性条件下得到了与传统有限元相同的最优误差估计。 In this paper, an anisotropic quadrilateral element is presented that can be applied to the displacement obstacle problem. We show that, without the usual regularity condition and quasiuniform assmption, the same optimal error estimate as that for the traditional finite element method can be obtained.
机构地区 郑州大学数学系
出处 《工程数学学报》 CSCD 北大核心 2005年第6期1019-1025,共7页 Chinese Journal of Engineering Mathematics
基金 国家自然科学基金(10171092 10371113)河南省自然科学基金河南省高校创新人才培养工程(2002(129))国家人事部留学回国择优资助项目(2000(119)).
关键词 变分不等式 任意四边形 各向异性 最优估计 variational inequality quadrilateral element anisotropism optimal error estimate
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