Résumé:
The aim of this work is to discusses a mixed finite element method combined with
the backward-Euler method to study the hyperbolic p−bi-Laplace equation, where
the existence and uniqueness of solution for the discretized problem are shown in
Lebesgue and Sobolev spaces. A mixed formulation and an inf-sup condition are
then given to prove the well-posedness of the scheme and optimal a priori error
estimates for fully discrete schemes are extracted.
