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| 半线性抛物方程各向异性最低阶R-T混合元超收敛分析 | |
| 引用本文： | 孟晓然,黄堃,石东洋.半线性抛物方程各向异性最低阶R-T混合元超收敛分析[J].数学的实践与认识,2010,40(2). |
| 作者姓名： | 孟晓然 黄堃 石东洋 |
| 作者单位： | 1. 许昌学院数学科学学院,河南,许昌,461000 2. 平顶山学院数学与信息科学学院,河南,平顶山,467002 3. 郑州大学数学系,河南,郑州,450052 |
| 基金项目： | 国家自然科学基金(10671184;10971203); 河南省教育厅自然科学研究计划项目(2008B110018) |
| 摘 要： | 利用各向异性判别定理验证了最低阶数R-T混合元具有各向异性特征.利用积分恒等式技巧,得到了R-T元对半线性抛物方程的超逼近性质.通过构造新的插值后处理格式,导出了超收敛结果及后验误差估计. |
| 关 键 词： | 半线性抛物方程 R-T元 各向异性 超逼近与超收敛 |
The Superconvergence Analysis of the Lowest Order Anisotropic R-T Element for Semilinear Parabolic Equation |
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| MENG Xiao-ran,HUANG Kun,SHI Dong-yang.The Superconvergence Analysis of the Lowest Order Anisotropic R-T Element for Semilinear Parabolic Equation[J].Mathematics in Practice and Theory,2010,40(2). | |
| Authors: | MENG Xiao-ran HUANG Kun SHI Dong-yang |
| Institution: | MENG Xiao-ran~1,HUANG Kun~2,SHI Dong-yang~3 (1.Collage of Mathematics sciences,Xuchang University,Xuchang 461000,China) (2.College of Mathematics , Information Sciences,Pingdingshan University,Pingdingshan 467002,China) (3.Department of Mathematics,Zhengzhou University,Zhengzhou 450052,China) |
| Abstract: | In this paper,anisotropic property of the lowest mixed R-T element is proved by use of anisotropic decision theorem.Based on the integral identitites,the supercloseness of R-T element for semilinear parabolic equation is obtained.Owing to the new interpolation postprocessing technique,the superconvergence and posterior error estimate are derived. |
| Keywords: | semilinear parabolic equation R-T element anisotropy supercloseness and su-perconvergence posterior error estimate |
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