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Zbl 1135.65406
Chen, Jing-Bo
Variational integrators and the finite element method. (English)
[J] Appl. Math. Comput. 196, No. 2, 941-958 (2008). ISSN 0096-3003

Summary: Based on the finite element method, discretizations of Lagrangians in multisymplectic field theory are presented. In particular, we obtain discrete Lagrangians of high order. The corresponding variational integrators are constructed. The convergence of the variational integrators is discussed. Numerical experiments are also reported.
MSC 2000:
*65P10 Hamiltonian systems including symplectic integrators
37M15 Symplectic integrators

Keywords: variational integrators; finite element method; multisymplectic field theory; convergence; numerical experiments

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