THE METHOD OF FUNDAMENTAL-SOLUTIONS FOR TRANSMISSION AND SCATTERING OF ELASTIC-WAVES

The method of fundamental solutions (MFS) is applied to study the scattering/transmission of time-harmonic waves by an elastic obstacle embedded in a three-dimensional infinite elastic medium. The MFS is a numerical method in which the approximate solution is a linear combination of fundamental solutions with singularities placed outside the domain of the problem. The singularities, which can be either moving or fixed, are kept fixed for the present class of problems. Here, two sets of singularities are used to approximate the field in the two regions and are coupled by the continuity of displacement and stress across the interface. Numerical examples are presented to verify the formulation. Numerical results also indicate that this method does not suffer from the nonuniqueness difficulty encountered with the BEM.