45 citations · 415 across the 60 of their papers we have counts for
7 papers · 1 filter
Variations in Discrete Mechanics and Field Theory
Han-Ying Guo, Ke Wu
Some problems on variations are raised for classical discrete mechanics and field theory and the difference variational approach with variable step-length is proposed motivated by…
Total Variation in Hamiltonian Formalism and Symplectic-Energy integrators
Jing-Bo Chen, Han-Ying Guo, Ke Wu
We present a discrete total variation calculus in Hamiltonian formalism in this paper. Using this discrete variation calculus and generating functions for the flows of Hamiltonian…
Total Variation and Variational Symplectic-Energy-Momentum integrators
Jing-Bo Chen, Han-Ying Guo, Ke Wu
A discrete total variation calculus with variable time steps is presented in this letter. Using this discrete variation calculus, we generalize Lee's discrete mechanics and derive…
Difference Discrete Variational Principle,EULER-Lagrange Cohomology and Symplectic, Multisymplectic Structures
H. Y. Guo, Y. Q. Li, K. Wu +1
We study the difference discrete variational principle in the framework of multi-parameter differential approach by regarding the forward difference as an entire geometric object i…
On Symplectic, Multisymplectic Structures-Preserving in Simple Finite Element Method
Han-Ying Guo, Xiao-mei Ji, Yu-Qi Li +1
By the simple finite element method, we study the symplectic, multisymplectic structures and relevant preserving properties in some semi-linear elliptic boundary value problem in o…
A Note on Symplectic, Multisymplectic Scheme in Finite Element Method
Han-Ying Guo, Xiao-mei Ji, Yu-Qi Li +1
We find that with uniform mesh, the numerical schemes derived from finite element method can keep a preserved symplectic structure in one-dimensional case and a preserved multisymp…