Continuous finite element methods for Hamiltonian systems

被引：16

作者：

Qiong, Tang ^{[1
]}

Chuan-Miao, Chen

机构：

[1] Hunan Normal Univ, Coll Math & Comp Sci, Changsha 410081, Peoples R China

[2] Hunan Univ Technol, Dept Infomat & Comp Sci, Zhuzhou 412008, Hunan Province, Peoples R China

来源：

APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION | 2007年 / 28卷 / 08期

基金：

中国国家自然科学基金;

关键词：

Hamiltonian systems; continuous finite element methods; pseudo-symplectic; energy conservation;

D O I：

10.1007/s10483-007-0809-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By applying the continuous finite element methods of ordinary differential equations, the linear element methods are proved having second-order pseudo-symplectic scheme and the quadratic element methods are proved having third-order pseudo-symplectic scheme respectively for general Hamiltonian systems, and they both keep energy conservative. The finite element methods are proved to be symplectic as well as energy conservative for linear Hamiltonian systems. The numerical results are in agreement with theory.

引用

页码：1071 / 1080

页数：10

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