Continuous Finite Element Methods of Hamilton Systems

TANG Qiong; CHEN Chuan-miao

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Article Navigation > Applied Mathematics and Mechanics > 2007 > 28(8): 958-966

TANG Qiong, CHEN Chuan-miao. Continuous Finite Element Methods of Hamilton Systems[J]. Applied Mathematics and Mechanics, 2007, 28(8): 958-966.

Citation:

TANG Qiong, CHEN Chuan-miao. Continuous Finite Element Methods of Hamilton Systems[J]. Applied Mathematics and Mechanics, 2007, 28(8): 958-966.

Citation:

TANG Qiong, CHEN Chuan-miao. Continuous Finite Element Methods of Hamilton Systems[J]. Applied Mathematics and Mechanics, 2007, 28(8): 958-966.

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Continuous Finite Element Methods of Hamilton Systems

TANG Qiong^1,2,
CHEN Chuan-miao¹

1.
College of Mathematics and Computer Science, Hunan Normal University, Changsha 410081, P. R. China;

Received Date: 2006-10-12
Rev Recd Date: 2007-05-18
Publish Date: 2007-08-15

Abstract

Abstract

By applying the continuous finite element methods of ordinary differential equations,the linear element methods are proved have pseudo-symplectic scheme of order 2 and the quadratic element methods have pseudo-symplectic scheme of order 3 respectively for general Hamiltonian systems,as well as 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.
- Hamiltonian system,
- continuous finite element method,
- pseudo-symplectic,
- energy conservation

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References(12)

References

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