[1]朱江.非线性拟双曲型方程的有限元方法[J].东南大学学报(自然科学版),1987,17(2):112-120.[doi:10.3969/j.issn.1001-0505.1987.02.012]
 Zhu Jiang(Dept. of Mathematics and Mechanics).The Finite Element Methods for Nonlinear Pseudo-hyperbolic Equations[J].Journal of Southeast University (Natural Science Edition),1987,17(2):112-120.[doi:10.3969/j.issn.1001-0505.1987.02.012]
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非线性拟双曲型方程的有限元方法()
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《东南大学学报(自然科学版)》[ISSN:1001-0505/CN:32-1178/N]

卷:
17
期数:
1987年第2期
页码:
112-120
栏目:
本刊信息
出版日期:
1987-03-20

文章信息/Info

Title:
The Finite Element Methods for Nonlinear Pseudo-hyperbolic Equations
作者:
朱江
南京工学院数学力学系
Author(s):
Zhu Jiang(Dept. of Mathematics and Mechanics)
关键词:
非线拟伪双曲型方程 有限元 收敛性 稳定性
Keywords:
nonlinear pseudo-hyperbolic equations finite element convergence stability
分类号:
+
DOI:
10.3969/j.issn.1001-0505.1987.02.012
摘要:
本文研究了一类非线性拟双曲型方程的半离散化和全离散化的有限元逼近,对这两种逼近格式的收敛性和稳定性理论作了分析,得到了最佳的L~2模和H~1模有限元误差估计。
Abstract:
This paper discusses the continuous time and the discrete time of the finite approximations to a class of nonlinear pseudo-hyperbolic equations. For each approximation, convergence and stability are established, and optimal order L~2-error and H~1-error estimates are obtained.

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更新日期/Last Update: 2013-05-01