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math.NA2024
Decoupled structure-preserving discretization of incompressible MHD equations with general boundary conditions
Yi Zhang, Artur Palha, Andrea Brugnoli +2
In the framework of a mixed finite element method, a structure-preserving formulation for incompressible magnetohydrodynamic (MHD) equations with general boundary conditions is pro…
math.NA2024
On the discrete equivalence of Lagrangian, Hamiltonian and mixed finite element formulations for linear wave phenomena
Andrea Brugnoli, Volker Mehrmann
It is well known that the Lagrangian and Hamiltonian descriptions of field theories are equivalent at the discrete time level when variational integrators are used. Besides the sym…