[1]郭玉玲,黄建国.求解弹性振动方程的稳健C0P1-P3时空有限元方法[J].南京师范大学学报(自然科学版),2019,42(04):12-16.[doi:10.3969/j.issn.1001-4616.2019.04.002]
　Guo Yuling,Huang Jianguo.Time Finite ElementMethod for Elastic Vibration Problems[J].Journal of Nanjing Normal University(Natural Science Edition),2019,42(04):12-16.[doi:10.3969/j.issn.1001-4616.2019.04.002]
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求解弹性振动方程的稳健C0P1-P3时空有限元方法()
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《南京师范大学学报》（自然科学版）[ISSN:1001-4616/CN:32-1239/N]

卷:
第42卷
期数:
2019年04期
页码:
12-16
栏目:
·数学与计算机科学·
出版日期:
2019-12-30

文章信息/Info

Title:
Time Finite ElementMethod for Elastic Vibration Problems
文章编号:
1001-4616(2019)04-0012-05
作者:
郭玉玲; 黄建国
上海交通大学 数学科学学院,上海 200240
Author(s):
Guo Yuling; Huang Jianguo
School of Mathematical Sciences,Shanghai Jiao Tong University,Shanghai 200240,China
关键词:
弹性振动方程; 时空有限元方法; C0P1 DG方法; P3-非协调有限元方法; 稳健性
Keywords:
elastic vibration equations; space-time finite element method; C0P1 DG method; P3-nonconforming finite element method; robustness
分类号:
O24
DOI:
10.3969/j.issn.1001-4616.2019.04.002
文献标志码:
A
摘要:
本文旨在构建一类稳健的C0P1-P3时空有限元方法求解弹性振动方程. 该方法在时间方向上采用C0P1 DG方法离散,在空间上采用P3-非协调有限元方法离散,进而得到相应的全离散格式. 数值试验结果验证了该方法的稳健性.
Abstract:
This paper devises a robust C0P1-P3 space-time finite element method for elastic vibration equations. The temporal discretization is obtained by the C0P1 DG method,and the spatial discretization is given by the P3-nonconforming element method,leading to a C0P1-P3 space-time fully discrete scheme for the problem. Numerical results demonstrate the robustness of the proposed method.

参考文献/References:

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备注/Memo

备注/Memo:
稿日期:2019-06-19.
基金项目:国家自然科学基金面上项目(11571237).
通讯联系人:郭玉玲,博士生,研究方向:科学计算. E-mail:guoyuling@sjtu.edu.cn
更新日期/Last Update: 2019-12-31