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

DOI10.1016/j.amc.2006.03.004zbMath1105.65118OpenAlexW1993569328MaRDI QIDQ856133

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

Publication date: 7 December 2006

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2006.03.004

zbMATH Keywords

numerical resultsenergy conservationnonlinear Hamiltonian systemssymplectic algorithmcontinuous finite element methods

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15)

Related Items (8)

A high-precision numerical method for the dissipative dynamics of the Hamiltonian systems ⋮ Runge-Kutta method, finite element method, and regular algorithms for Hamiltonian system ⋮ Ultraconvergence for averaging discontinuous finite elements and its applications in Hamiltonian system ⋮ Symplectic partitioned Runge-Kutta methods with the phase-lag property ⋮ A Galerkin Splitting Symplectic Method for the Two Dimensional Nonlinear Schrödinger Equation ⋮ An Efficient Spectral Petrov-Galerkin Method for Nonlinear Hamiltonian Systems ⋮ Error estimates for inconsistent load lumping approach in finite element solution of differential equations ⋮ Symplectic properties research for finite element methods of Hamiltonian system

Cites Work

• Unnamed Item
• On the stability of symplectic and energy-momentum algorithms for nonlinear Hamiltonian systems with symmetry
• Symplectic-energy-momentum preserving variational integrators
• Symplectic Partitioned Runge–Kutta Methods for Constrained Hamiltonian Systems
• Multi-symplectic integrators: numerical schemes for Hamiltonian PDEs that conserve symplecticity

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