A nonconforming mixed finite element method for nonlinear hyperbolic equations is discussed. Existence and uniqueness of the solution to the discrete problem are proved. Priori estimates of optimal order are derived for both the displacement and the stress.

The aim of this work is to show an abstract framework analyze the numerical approximation for a family linear degenerate parabolic mixed equations by using finite element method in space and Backward-Euler scheme time. We consider sufficient conditions prove that fully-discrete problem has unique solution quasi-optimal error estimates approximation. Furthermore, we formulations arising from dyn...