Continuous finite element methods for Hamiltonian systems

DOI10.1007/s10483-007-0809-yzbMath1231.37029OpenAlexW2041621929MaRDI QIDQ940378

Qiong Tang, Chuan-miao Chen

Publication date: 1 September 2008

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10483-007-0809-y

zbMATH Keywords

Hamiltonian systemsenergy conservationcontinuous finite element methodspseudo-symplectic

Mathematics Subject Classification ID

Related Items (9)

A high-precision numerical method for the dissipative dynamics of the Hamiltonian systems ⋮ Efficient energy-preserving methods for general nonlinear oscillatory Hamiltonian system ⋮ Runge-Kutta method, finite element method, and regular algorithms for Hamiltonian system ⋮ Discontinuous Galerkin methods for Hamiltonian ODEs and PDEs ⋮ Construction of Runge-Kutta type methods for solving ordinary differential equations ⋮ Multiple invariants conserving Runge-Kutta type methods for Hamiltonian problems ⋮ Time finite element methods: a unified framework for numerical discretizations of ODEs ⋮ A note on continuous-stage Runge-Kutta methods ⋮ Line integral solution of differential problems

Cites Work

• On the discretization of differential and Volterra integral equations with variable delay
• Runge-Kutta schemes for Hamiltonian systems
• On the stability of symplectic and energy-momentum algorithms for nonlinear Hamiltonian systems with symmetry
• Symplectic-energy-momentum preserving variational integrators
• Multi-symplectic integrators: numerical schemes for Hamiltonian PDEs that conserve symplecticity
• Unnamed Item

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