Symplectic and multisymplectic schemes with the simple finite element method
文献类型：期刊论文
| 作者 | Li, QS; Zhen, L; Bai, YQ; Wu, K; Zhen, L , Chinese Acad Sci, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China. |
| 刊名 | PHYSICS LETTERS A
 |
| 出版日期 | 2003 |
| 卷号 | 314期号:41035页码:443-455 |
| 关键词 | Variational Integrators Hamiltonian-systems Discrete Versions Pdes |
| ISSN号 | 0375-9601 |
| 英文摘要 | We study the numerical scheme of elliptic equations by the finite element method. With the special finite element domain, we can find that the scheme can keep a preserved symplectic structure in one-dimensional case and a preserved multisymplectic structure in two-dimensional case. Then we consider the discrete variational principle with the finite element method in the corresponding Lagrangian formalism for classical mechanics and field theory and get the symplectic or multisymplectic scheme of the Euler-Lagrangian equation. (C) 2003 Elsevier B.V. All rights reserved. |
| 学科主题 | Physics |
| URL标识 | 查看原文 |
| WOS记录号 | WOS:000184740900014 |
| 公开日期 | 2012-08-29 |
| 源URL | [http://ir.itp.ac.cn/handle/311006/13244]  |
| 专题 | 理论物理研究所_理论物理所1978-2010年知识产出 |
| 通讯作者 | Zhen, L , Chinese Acad Sci, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China. |
| 推荐引用方式 GB/T 7714 | Li, QS,Zhen, L,Bai, YQ,et al. Symplectic and multisymplectic schemes with the simple finite element method[J]. PHYSICS LETTERS A,2003,314(41035):443-455. |
| APA | Li, QS,Zhen, L,Bai, YQ,Wu, K,&Zhen, L , Chinese Acad Sci, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China..(2003).Symplectic and multisymplectic schemes with the simple finite element method.PHYSICS LETTERS A,314(41035),443-455. |
| MLA | Li, QS,et al."Symplectic and multisymplectic schemes with the simple finite element method".PHYSICS LETTERS A 314.41035(2003):443-455. |
入库方式： OAI收割
来源：理论物理研究所
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