Abstract
Using continuous finite element methods of ordinary differential equation, we can get the first, second, third order continuous finite element methods for linear Hamiltonian systems which are symplectic and conserve energy. In addition, the second order continuous finite element methods for nonlinear Hamiltonian systems are approximately symplectic on third order accuracy, as well as they conserve energy. The numerical results are in agreement with theory.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
