| 奇次元导数强超收敛恢复技术--基于计算的一个实验结果 |
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| 引用本文： | 孟令雄,朱起定.奇次元导数强超收敛恢复技术--基于计算的一个实验结果[J].湘潭大学自然科学学报,2003,25(2):117-121. |
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| 作者姓名： | 孟令雄 朱起定 |
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| 作者单位： | 湖南师范大学理学院,湖南,长沙,410081 |
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| 摘 要： | 1992年0．C．Zienkiewicz和J．Z．Zhu提出了SPR技术，利用这种技术，对于二次元在被恢复点处获得了导数强超收敛，而对一次或三次仅获得了超收敛．文中对奇次元提出了一种新的恢复技术，获得了高2阶的强超收敛结果，这是第一次获得如此结果．
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| 关 键 词： | SPR技术 奇次元 强超收敛 |
The Ultraconvergent Derivatives Recovery Technique for Odd-order Elements--A computer-based test result |
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| Abstract.The Ultraconvergent Derivatives Recovery Technique for Odd-order Elements--A computer-based test result[J].Natural Science Journal of Xiangtan University,2003,25(2):117-121. |
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| Authors: | Abstract |
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| Abstract: | In 1992, O.C.Zienkiewicz and J. Z. Zhu proposed the SPR technique. The ultraconvergence of nodal values of derivatives is obtained for quadratic elements by using it, but only the superconvergence for linear and cubic ones. In this paper, for an odd order element, the ultraconvergence is achieved by using a new recovery technique. It is the for first time that two order higher accuracy is reported for odd order elements. |
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| Keywords: | SPR technique odd order element ultraconvergence |
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