[1]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,(02):218-221.
　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 Science Edition,2015,(02):218-221.
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强阻尼波动方程的非协调元超收敛分析()
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《江西师范大学学报》（自然科学版）[ISSN:1006-6977/CN:61-1281/TN]

卷:
期数:
2015年02期
页码:
218-221
栏目:
出版日期:
2015-04-10

文章信息/Info

Title:
The Superconvergence Analysis for Nonconforming Finite Element to the Nonlinear Wave Equations with Strongly Damped
作者:
乔保民；庞进丽
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
Author(s):
QIAO Baomin; PANG Jinli
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
Keywords:
strong damping;  wave equation;  anisotropic;  nonconforming;  error estimate;  superclose;  superconvergence
分类号:
O 242.21
文献标志码:
A
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.
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.

参考文献/References:

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备注/Memo

备注/Memo:
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)
更新日期/Last Update: 1900-01-01