A MAPPING FINITE-DIFFERENCE MODEL FOR INFINITE ELASTIC MEDIA

A simple mapping finite difference model was presented for the solution of boundary-value problems in the theory of time-harmonic elastic vibrations. The infinite problem domain is condensed by mapping into a smaller finite domain using a suitable coordinate transformation. The field equation and the boundary conditions are also appropriately transformed. The radiation condition at infinity is satisfied through a change of the dependent variable. Finite difference forms of the transformed equations were then solved in the mapped domain, subject to the transformed boundary conditions.