| 强阻尼波动方程的非协调元超收敛分析 |
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| 引用本文： | 乔保民,庞进丽. 强阻尼波动方程的非协调元超收敛分析[J]. 江西师范大学学报(自然科学版), 2015, 0(2): 218-221 |
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| 作者姓名： | 乔保民 庞进丽 |
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| 作者单位： | 1.商丘师范学院数学与信息科学学院,河南 商丘 476000; 2.商丘职业技术学院基础部,河南 商丘 476000 |
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| 基金项目： | 国家自然科学基金(11972119);河南省自然科学基金(122300410425);河南教育厅自然科学基金(2010A110014)资助项目 |
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| 摘 要： | 利用导数转移方法和构造插值算子技巧,讨论了强阻尼波动方程在各向异性条件下的1个非协调元逼近,给出了强阻尼波动方程在半离散格式下精确解与近似解之间的误差估计和超逼近特性.最后,利用插值后处理方法得到了方程的整体超收敛结果.
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| 关 键 词： | 强阻尼 波动方程 各向异性 非协调元 误差估计 超逼近 超收敛 |
The Superconvergence Analysis for Nonconforming Finite Element to the Nonlinear Wave Equations with Strongly Damped |
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| QIAO Baomin , PANG Jinli. The Superconvergence Analysis for Nonconforming Finite Element to the Nonlinear Wave Equations with Strongly Damped[J]. Journal of Jiangxi Normal University (Natural Sciences Edition), 2015, 0(2): 218-221 |
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| Authors: | QIAO Baomin PANG Jinli |
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| Affiliation: | QIAO Baomin;PANG Jinli;School of Mathematics & Information Science,Shangqiu Normal University;Deartment of Basic,Shangqiu Polytechnic; |
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| Abstract: | A nonconforming finite element is applied to the strongly damped nonlinear wave equations with semidscretization on anisotropic meshes,the error estimates and result of superclose are obtained by using some novel approaches and technique.Finally,based on the interpolated post-processing technique,the global super-convergence is derived. |
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| Keywords: | strong damping wave equation anisotropic nonconforming error estimate superclose superconvergence |
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