A fast direct solver for two-dimensional transmission problems of elastic waves

This paper describes a fast direct boundary element method for elastodynamic transmission problems in two dimensions, which can be used for analyzing elastic wave scattering by an inclusion. We develop an efficient solver based on a discretization method that is broadly applicable regardless of the inclusion shape. From the smoothness of the solutions of the Navier–Cauchy equation, it is reasonable that the displacement is approximated by the piecewise linear bases and the traction is approximat