| 一维有限元后处理的EEP法的数学分析 |
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| 引用本文： | 赵庆华,周叔子,朱起定.一维有限元后处理的EEP法的数学分析[J].应用数学和力学,2007,28(4):401-405. |
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| 作者姓名： | 赵庆华 周叔子 朱起定 |
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| 作者单位： | 1. 湖南大学,数学与计量经济学院,长沙,410082
2. 湖南师范大学,数学与计算机科学学院,长沙,410081 |
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| 基金项目： | 国家自然科学基金;湖南大学校科研和教改项目 |
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| 摘 要： | 利用一维投影型插值与有限元超收敛基本估计,对一类两点边值问题,严格证明了袁驷等人由单元能量投影(EEP)法获得的节点恢复导数,当有限元空间的次数不超过4时,具有最佳阶超收敛.理论分析圆满地解释了已有的数值结果.
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| 关 键 词： | 超收敛应力 单元能量投影法 有限元 两点边值问题 投影型插值 |
| 文章编号： | 1000-0887（2007）04-0401-05 |
| 修稿时间： | 2006-05-31 |
Mathematical Analysis of EEP Method for One-Dimensional Finite Element Postprocessing |
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| ZHAO Qing-hua,ZHOU Shu-zi,ZHU Qi-ding.Mathematical Analysis of EEP Method for One-Dimensional Finite Element Postprocessing[J].Applied Mathematics and Mechanics,2007,28(4):401-405. |
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| Authors: | ZHAO Qing-hua ZHOU Shu-zi ZHU Qi-ding |
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| Abstract: | For a class of two-point boundary value problems,by virtue of one-dimensional projection interpolation and finite element superconvergence fundamental estimations,it was proved that the nodal recovery derivative obtained by Yuan's element energy projection(EEP) method had the optimal order superconvergence on condition that the degree of finite element space is no more than 4.The theoretical analysis coincides with the reported numerical results. |
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| Keywords: | superconvergence stress element energy projection method finite element two-point boundary value problems projection interpolation |
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