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石东洋, 郝晓斌. 不完全双二次元的积分展开式及其应用[J]. 信阳师范学院学报(自然科学版), 2008, 21(1): 1-3.
引用本文: 石东洋, 郝晓斌. 不完全双二次元的积分展开式及其应用[J]. 信阳师范学院学报(自然科学版), 2008, 21(1): 1-3.
shu
SHI Dong-yang, HAO Xiao-bin. Expansion of Integrals on Incomplete Biquadratic Element[J]. Journal of Xinyang Normal University (Natural Science Edition), 2008, 21(1): 1-3.
Citation: SHI Dong-yang, HAO Xiao-bin. Expansion of Integrals on Incomplete Biquadratic Element[J]. Journal of Xinyang Normal University (Natural Science Edition), 2008, 21(1): 1-3.
shu

不完全双二次元的积分展开式及其应用

Expansion of Integrals on Incomplete Biquadratic Element

    摘要
  • 摘要: 导出了不完全双二次元的几个积分展开式,并利用这些积分展开式及插值后处理技巧,对Poisson方程得到了比通常误差估计高一阶的超逼近性质和整体超收敛结果.

     

    Abstract: Some integral expansions of incomplete biquadratic element are presented.The superclose and superconvergence results for the Poisson equation are obtained by combining these formulas and interpolation postprocessing technique,which are one order higher than that of the traditional error estimates.

     

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