| 半线性两点边值问题有限元强超收敛性 |
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| 引用本文： | 熊之光,陈荣华. 半线性两点边值问题有限元强超收敛性[J]. 工程数学学报, 2005, 22(4): 719-724 |
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| 作者姓名： | 熊之光 陈荣华 |
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| 作者单位： | 湖南科技大学数学与软件研究所,湘潭,411201;湖南师范大学计算研究所,长沙,410008;湖南科技大学数学与软件研究所,湘潭,411201 |
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| 摘 要： | 通过单元正交展开的余项中添加若干待定的低次项，得到所需的超接近于有限元解的逼近函数，由此导出了一类非线性两点边值问题的强超收敛性。最后给出了一个数例验证了这一结论。
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| 关 键 词： | 半线性两点边值问题 有限元方法 待定低次项 强超收敛 |
| 文章编号： | 1005-3085(2005)04-0719-06 |
| 修稿时间： | 2003-08-29 |
Ultraconvergence of Finite Element Method for Semilinear Two-point Boundary Problem |
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| XIONG Zhi-guang,CHEN Rong-hua. Ultraconvergence of Finite Element Method for Semilinear Two-point Boundary Problem[J]. Chinese Journal of Engineering Mathematics, 2005, 22(4): 719-724 |
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| Authors: | XIONG Zhi-guang CHEN Rong-hua |
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| Abstract: | Some lower degree terms are added to the remainder of orthogonal expansion in an element so that we can get the desired superclose to the finite element solution. We then obtain the ultraconvergence for a class of semilinear two-point boundary problem. Finally the result is tested by a numerical example. |
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| Keywords: | semilinear two-point boundary problem finite element method ultraconvergence some lower degree terms |
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