Variational integrators and the finite element method

被引：13
作者：
Chen, Jing-Bo [1 ]
机构：
[1] Chinese Acad Sci, Inst Geol & Geophys, Beijing 100029, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2008年 / 196卷 / 02期
基金：
中国国家自然科学基金;
关键词：
variational integrators; finite element method; multisymplectic field theory;
D O I：
10.1016/j.amc.2007.07.028
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Based on the finite element method, discretizations of Lagrangians in multisymplectic field theory are presented in this paper. In particular, we obtain discrete Lagrangians of high order. The corresponding variational integrators are constructed. The convergence of the variational integrators is discussed. Numerical experiments are also reported. (C) 2007 Elsevier Inc. All rights reserved.
引用
收藏
页码：941 / 958
页数：18
相关论文
共 17 条
[1]  
Brenner S. C., 2007, Texts Appl. Math., V15
[2]  
Chen JB, 2003, ARCH APPL MECH, V73, P421, DOI [10.1007/s00419-003-0302-9, 10.1007/S00419-003-0302-9]
[3]  
CIARLET P. G., 1978, The Finite Element Method for Elliptic Problems
[4]  
CIARLET PG, 1976, NUMERICAL ANAL FINIT
[5]  
Garcia P L, 1973, Symp. Math, V14, P219
[6]  
GUO BY, 1986, APPL MATH COMPUT, V18, P1
[7]  
GUO HY, ARXIVHEPTH0104151
[8]  
Kane C, 2000, INT J NUMER METH ENG, V49, P1295, DOI 10.1002/1097-0207(20001210)49:10<1295::AID-NME993>3.3.CO
[9]  
2-N
[10]  
KOURANBAEVA S, VARIATIONAL APPROACH
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