  We present a new formulation of the Boundary Element Method (BEM) for
simulating the non-adhesive and adhesive contact between an indenter of
arbitrary shape and an elastic half-space coated with an elastic layer of
different material. We use the Fast Fourier Transform based formulation of BEM,
while the fundamental solution is determined directly in the Fourier space.
Numerical tests are validated by comparison with available asymptotic
analytical solutions for axisymmetric flat and spherical indenter shapes.
