Multi-symplectic methods for membrane free vibration equation  

作　　者：胡伟鹏 邓子辰 李文成 

机构地区：[1]School of Mechanics,Civil Engineering and Architecture,Northwestern Polytechnincal University [2]School of Science,Northwestern Polytechnical University

出　　处：《Applied Mathematics and Mechanics(English Edition)》2007年第9期1181-1189,共9页应用数学和力学（英文版）

基　　金：the National Natural Science Foundation of China(Nos.10632030 and 10572119);Program for New Century Excellent Talents of Ministry of Education of China(No.NCET-04-0958);the Open Foundation of State Key Laboratory of Structural Analysis of Industrial Equipment

摘　　要：In this paper, the multi-symplectic formulations of the membrane free vibration equation with periodic boundary conditions in Hamilton space are considered. The complex method is introduced and a semi-implicit twenty-seven-points scheme with certain discrete conservation laws-a multi-symplectic conservation law （CLS）, a local energy conservation law （ECL） as well as a local momentum conservation law （MCL） --is constructed to discrete the PDEs that are derived from the membrane free vibration equation. The results of the numerical experiments show that the multi-symplectic scheme has excellent long-time numerical behavior,In this paper, the multi-symplectic formulations of the membrane free vibration equation with periodic boundary conditions in Hamilton space are considered. The complex method is introduced and a semi-implicit twenty-seven-points scheme with certain discrete conservation laws-a multi-symplectic conservation law （CLS）, a local energy conservation law （ECL） as well as a local momentum conservation law （MCL） --is constructed to discrete the PDEs that are derived from the membrane free vibration equation. The results of the numerical experiments show that the multi-symplectic scheme has excellent long-time numerical behavior,

关 键 词：MULTI-SYMPLECTIC complex discretization Runge-Kutta methods 

分 类 号：O175.24[理学—数学]