| Abstract: |
| This talk presents a rigorous analysis of the Dirichlet-to-Robins (DtR) method for acoustic and elastic wave scattering by periodic structure. The variational problem is formulated by employing a DtR-based transparent boundary condition. The analysis establishes that the truncated problem is well-posed provided the DtR operator incorporates all propagating modes. Furthermore, through both a posteriori and a priori error estimates, it is proved that the solution obtained with the truncated DtR operator converges exponentially to the exact solution as the truncation number N increases. |
|