Local Lagrangian formalism and discretization of the Heisenberg magnet model

DOI10.1016/j.matcom.2005.01.007zbMath1069.78011arXivphysics/0412082OpenAlexW2043746701MaRDI QIDQ2486241

Dmitry A. Karpeev, Constance M. Schober

Publication date: 5 August 2005

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/physics/0412082

zbMATH Keywords

Finite element methodsGeometric integratorsNöther's theoremMultisymplectic structureHeisenberg magnet model

Mathematics Subject Classification ID

Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Statistical mechanics of magnetic materials (82D40) General topics in optics and electromagnetic theory (78A99)

Related Items (1)

On the preservation of phase space structure under multisymplectic discretization

Cites Work

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• Multisymplectic geometry, variational integrators, and nonlinear PDEs
• The Hamiltonian formalism and a many-valued analogue of Morse theory
• Product Approximation for Non-linear Problems in the Finite Element Method
• The spectral theory of a functional-difference operator in conformal field theory
• Multi-symplectic integrators: numerical schemes for Hamiltonian PDEs that conserve symplecticity

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