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Energy conservation and symplectic properties of continuous finite element methods for Hamiltonian systems

  • Published:2006-10 Issue:2 Volume:181 Page:1357-1368
  • ISSN:0096-3003
  • Container-title:Applied Mathematics and Computation
  • language:en
  • Short-container-title:Applied Mathematics and Computation

Author:

Tang Qiong,Chen Chuan-miao,Liu Luo-hua

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Mathematics

Reference11 articles.

1. Collected Works of Feng Kang;Feng,1995

2. Symplectic Geometry Algorithm for Hamiltonian Systems;Feng,2004

3. High Accuracy Theory of Finite Element;Chen,1995

4. Finite Element Superconvergence Construction Theory;Chen,2001

5. Symplectic-energy–momentum preserving variational integrators;Kane;Math. Phys.,1999

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1. A high-precision numerical method for the dissipative dynamics of the Hamiltonian systems;International Journal of Computer Mathematics;2019-12-10

2. An Efficient Spectral Petrov-Galerkin Method for Nonlinear Hamiltonian Systems;Communications in Computational Physics;2019-06

3. Symplectic properties research for finite element methods of Hamiltonian system;Journal of Mathematics and Computer Science;2018-06-20

4. A Galerkin Splitting Symplectic Method for the Two Dimensional Nonlinear Schrödinger Equation;Advances in Applied Mathematics and Mechanics;2018-06

5. Temporal finite element methods through the extended framework of Hamilton’s principle;Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science;2016-08-09
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