The dynamical motion of mechanical systems possesses underlying geometric structures, and preserving these structures in numerical integration improves the qualitative accuracy and reduces the long-time error of the simulation. For a single mechanical system, structure preservation can be achieved by adopting the variational integrator construction. This construction has been generalized to mor...

This paper is devoted to the mathematical modeling and analysis of a hyperbolic Maxwell quasi-variational inequality (QVI) for Bean-Kim superconductivity model with temperature magnetic field dependence in critical current. Our relies on local (resp. global) boundedness Lipschitz continuity assumptions current respect field). Emerging from Euler time discretization, we analyze corresponding H(c...

We consider a second order dynamical system for solving variational inequalities in Hilbert spaces. Under standard conditions, we prove the existence and uniqueness of strong global solution proposed system. The exponential convergence trajectories is established under pseudo-monotonicity Lipschitz continuity assumptions. A discrete version leads to relaxed inertial projection algorithm whose l...