On Green´s function in boundary elements method for some infinite triangular system of elliptic equations

We consider a Dirichlet boundary value problem for a system of elliptic equations of special type in domains with inclusions. The use of Green´s function technique leads to boundary integral equations with unknown functions only on the surface of the inclusion. The direct and indirect approaches of the boundary integral equation method are discussed. A modified boundary elements method is obtained and a series of numerical experiments is conducted.