| 非线性Klein-Gordon方程各向异性高精度有限元分析 |
| |
| 引用本文： | 任金城,郭东林.非线性Klein-Gordon方程各向异性高精度有限元分析[J].咸阳师范学院学报,2011,26(4):1-4. |
| |
| 作者姓名： | 任金城 郭东林 |
| |
| 作者单位： | 商丘师范学院数学系,河南商丘,476000 |
| |
| 基金项目： | 商丘师范学院科研基金项目 |
| |
| 摘 要： | 讨论了在半离散格式下的各向异性双线性元对非线性Klein-Gordon方程的逼近。利用单元自身的特殊性质和一些新的分析技巧得到了超逼近性质,通过构造一个插值后处理算子导出了整体超收敛结果。
|
| 关 键 词： | Klein-Gordon方程 双线性元 各向异性网格 超收敛 |
Higher Accuracy Finite Element Analysis of the Nonlinear Sine-Gordon Equations on Anisotropic Meshes |
| |
| REN Jin-cheng,GUO Dong-lin.Higher Accuracy Finite Element Analysis of the Nonlinear Sine-Gordon Equations on Anisotropic Meshes[J].Journal of Xianyang Normal University,2011,26(4):1-4. |
| |
| Authors: | REN Jin-cheng GUO Dong-lin |
| |
| Institution: | REN Jin-cheng,GUO Dong-lin (Department of Mathematics,Shangqiu Normal University,Shangqiu 476000,Henan.China) |
| |
| Abstract: | In this paper, bilinear finite element approximation to nonlinear Klein-Gordon equations on anisotropic meshes under semidiscrete scheme is discussed.Firstly, the result of superclose can be derived through the element＇ s special property and some novel approaches. Finally, based on the interpolated postprocessing technique, the global superconvergenee is derived. |
| |
| Keywords: | nonlinear Klein-Gordon equations bilinear finite element anisotropic meshes super- convergence |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
