Domain decomposition method for a kind of parabolic variational inequality with fourth-order

摘要

A domain decomposition method for a kind of parabolic variational inequality with fourth-order was presented. First, the parabolic variational inequality was reduced to an elliptic variational inequality by using semi-discretization and implicit method in time. Then using finite element method to discretize the elliptic variational inequality and reformulate it into an equivalent optimization problem. As the equivalent optimization problem, domain decomposition method was proposed and the convergence of the method was analyzed. Finally a numerical example was shown and the feasibility and efficiency of the method were proved.