The Computation And Convergence Of Minimal Solutions For Minimal Maximal Algorithms

Hemivariational inequality problems arise in the variational formulation of mechanical prob-lems. Their energy functionals are locally Lipschitz continuous. In this thesis, we discreterize the variational problem correponding to hemivariational inequality by the finite element method to get approximation problem. The minimax method is employed to calculate multiple solutions of approximation problem. Numerical experiment is carried out and global sequence convergence result on computation of approximation problem is established. Finally, as diameter of element domain goes to zero, convergence of solutions of approximation problem to solutions of hemi-variational inequality is verified.