Boundary element methods for variational inequalities

摘要: In this paper we present a priori error estimates for the Galerkin solution of variational inequalities which are formulated in fractional Sobolev trace spaces, i.e. $$\widetilde{H}^{1/2}(\Gamma )$$ H ? 1 / 2 ( Γ ) . addition to energy norm also provide, by applying Aubin---Nitsche trick inequalities, lower order spaces including $$L_2(\Gamma L The resulting discrete inequality is solved using semi-smooth Newton method, equivalent an active set strategy. A numerical example given confirms theoretical results.