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Symplectic and multisymplectic schemes with the simple finite element method
Zhen, L; Bai, YQ; Li, QS; Wu, K; Zhen, L , Chinese Acad Sci, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China.
2003
发表期刊PHYSICS LETTERS A
ISSN0375-9601
卷号314期号:41035页码:443-455
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.
部门归属Chinese Acad Sci, Inst Theoret Phys, Beijing 100080, Peoples R China; Henan Univ, Coll Math & Informat Sci, Kaifeng 475001, Peoples R China; Capital Normal Univ, Dept Math, Beijing 100037, Peoples R China
关键词Variational Integrators Hamiltonian-systems Discrete Versions Pdes
学科领域Physics
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收录类别SCI
WOS记录号WOS:000184740900014
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被引频次:15[WOS]   [WOS记录]     [WOS相关记录]
文献类型期刊论文
条目标识符http://ir.itp.ac.cn/handle/311006/13244
专题理论物理所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.
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GB/T 7714
Zhen, L,Bai, YQ,Li, QS,et al. Symplectic and multisymplectic schemes with the simple finite element method[J]. PHYSICS LETTERS A,2003,314(41035):443-455.
APA Zhen, L,Bai, YQ,Li, QS,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 Zhen, L,et al."Symplectic and multisymplectic schemes with the simple finite element method".PHYSICS LETTERS A 314.41035(2003):443-455.
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