A. Gachechiladze, D. Natroshvili

Boundary Variational Inequality Approach in the Anisotropic Elasticity for the Signorini Problem

The purpose of the paper is reducing the three-dimensional Signorini problem to a variational inequality which occurs on the two-dimensional boundary of a domain occupied by an elastic anisotropic body. The uniqueness and existence theorems for the solution of the boundary variational inequality are proved and a boundary element procedure together with an abstract error estimate is described for the Galerkin numerical approximation