A windowed Green function method for elastic scattering problems on a half-space

This paper presents a windowed Green function (WGF) method for the numerical solution of problems elastic scattering by "locally-rough surfaces" (i.e., local perturbations half space), under either Dirichlet or Neumann boundary conditions, and in both two three spatial dimensions. The proposed WGF relies on an integral-equation formulation based free-space function, together with smooth operator windowing (based "slow-rise" function) efficient high-order singular-integration methods. approach avoids evaluation expensive layer half-space, it yields uniformly fast convergence all incident angles. Numerical experiments dimensional are presented, demonstrating accuracy super-algebraically as window-size grows.