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math.NA2021
Variational Structures in Cochain Projection Based Variational Discretizations of Lagrangian PDEs
Brian Tran, Melvin Leok
Compatible discretizations, such as finite element exterior calculus, provide a discretization framework that respect the cohomological structure of the de Rham complex, which can…
math.NA2021★ 7 cited
Multisymplectic Hamiltonian Variational Integrators
Brian Tran, Melvin Leok
Variational integrators have traditionally been constructed from the perspective of Lagrangian mechanics, but there have been recent efforts to adopt discrete variational approache…