| 半线性抛物方程的高精度分析 |
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| 引用本文： | 樊明智,王芬玲.半线性抛物方程的高精度分析[J].许昌师专学报,2012(2):1-5. |
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| 作者姓名： | 樊明智 王芬玲 |
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| 作者单位： | 许昌学院数学与统计学院,河南许昌461000 |
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| 基金项目： | 基金项目：河南省教育厅项目（2010A110018;2011A110020） |
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| 摘 要： | 研究半线性抛物方程的双线元有限元逼近.利用导数转移技巧和双线性元的高精度结果得到了超逼近性,同时,通过插值后处理技术给出了超收敛结果,进一步地,构造合适的外推格式导出了三阶精度的外推结果.
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| 关 键 词： | 半线性抛物方程 双线性元 超逼近与超收敛 外推 |
High Accuracy Analysis for Semilinear Parabolic Equations |
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| FAN Ming-zhi,WANG Fen-ling.High Accuracy Analysis for Semilinear Parabolic Equations[J].Journal of Xuchang Teachers College(Social Science Edition),2012(2):1-5. |
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| Authors: | FAN Ming-zhi WANG Fen-ling |
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| Institution: | ( School of Mathematics and Statistics, Xuchang University, Xuchang 461000, China) |
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| Abstract: | The finite bilinear element approximation for a class of semilinear parabolic equations is studied. The supercloseness in H1 norm is derived by use of high accuracy results of the bilinear element and the deriva- tive transfering skill. At the same time, the superconvergenee result in H1 norm is given by the interpolation post- processing techniques. Moreover, three-order extrapolation solution is deduced through constructing suitable ex- trapolation scheme. |
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| Keywords: | semilinear parabolic equations the bilinear element supercloseness and superconvergenee ex-trapolation |
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