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.

翻译：本文应用梯度离散法(GDM)处理四阶椭圆变分不等式。GDM提供了误差估计的新公式以及多种数值方法的完整收敛性分析。我们证明收敛是无条件的。经典的数据假设仅足以建立收敛结果。这些结果适用于所有属于GDM框架的离散格式。