A novel sinc solution of the boundary integral form fortwo-dimensional bi-material elasticity problems

Abstract In this paper we illustrate a procedure for obtaining an approximate solution of the integral equation form of the two-dimensional Lame equation for a two-layer problem, based on collocation via use of Sinc approximation. The Sinc approach automatically concentrates points near corners of the boundary where the solution has singularities and yields exponential convergence. A model two-layer bi-material elasticity problem is numerically investigated here as an illustration of this novel approach.