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Stokes问题的一个新的三角形Hermite型二阶格式 被引量:3

A New Second Order Triangular Hermite-Type Formulation for Stokes Problems
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摘要 本文构造了一个新的协调三角形Hermite型单元,其形函数空间仅为完全二次多项式。针对定常Stokes问题,我们由此构造了一个新的二阶格式。同时,给出了其最优误差估计。 In this paper, a new conforming triangular Hemite-type finte element is constructed with the shape function space P2(K). Moreover, a novel second order formulation for the Stokes problem is proposed based on this element, and the optimal error estimate is 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 2004年第F12期116-120,共5页 Chinese Journal of Engineering Mathematics
基金 国家自然科学基金(No.10171092:No.10371113)国家人事部留学回国择优资助项目(No.(2001) 119)河南省高等学校创新人才培养工程基金(No.(2002)219)河南省自然科学基金
关键词 STOKES问题 二阶 最优误差估计 三角形 形函数 二次多项式 构造 格式 单元 triangular hermite-type finite element stokes problem novel formulation optimal error estimate
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参考文献12

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同被引文献23

  • 1王瑞文,姜子文.双曲型积分微分方程混合元法的误差估计[J].工程数学学报,2005,22(4):619-627. 被引量:12
  • 2王瑞文.双曲型积分微分方程H^1-Galerkin混合元法的误差估计[J].计算数学,2006,28(1):19-30. 被引量:50
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