A mixed discontinuous/continuous Galerkin scheme is proven to conserve total energy and L2 norm for general Hamiltonian evolution equations, demonstrated on Vlasov-Poisson and incompressible Euler systems.
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Discontinuous Galerkin schemes for a class of Hamiltonian evolution equations with applications to plasma fluid and kinetic problems
A mixed discontinuous/continuous Galerkin scheme is proven to conserve total energy and L2 norm for general Hamiltonian evolution equations, demonstrated on Vlasov-Poisson and incompressible Euler systems.