A new Discrete Analysis Of Fourth Order Elliptic Variational Inequalities

Abstract

This paper applies the gradient discretisation method (GDM) for fourth order elliptic variational inequalities. The GDM provides a new formulation of error estimates and a complete convergence analysis of several numerical methods. We show that the convergence is unconditional. Classical assumptions on data are only sufficient to establish the convergence results. These results are applicable for all schemes fall in the framework of GDM.