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粘弹性方程各向异性有限元方法的超收敛分析 被引量:4

A superconvergence analysis of anisotropic bilinear finite element for viscoelasticity type equations
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摘要 克服了传统有限元要求剖分网格满足正则假设(或拟一致假设)的限制,在一种新定义的各向异性网格———广义拟一致网格上,分析了粘弹性方程双线性有限元解的超逼近性质,并给出相应的超收敛结果。 This paper deals with the superclose and superconvergence analysis of bilinear finite element for viscoelasticity type equations on a class of new anisotropic rectangular meshes, i.e. general quasi-uniform meshes, which get rid of the restriction of triangulation regularity.
机构地区 郑州大学数学系
出处 《河南科学》 2004年第2期143-146,共4页 Henan Science
基金 国家自然科学基金(10171092 10371113) 国家人事部留学回国基金(2000-119) 河南省高等院校创新人才工程基金(2002-129)
关键词 广义拟一致网格 各向异性 粘弹性方程 超逼近 超收敛 general quasi-uniform mehses anisotropy viscoelasticity type equations superclose superconvergence
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