SCATTERING OF WATER WAVES BY FREELY FLOATING SEMI-INFINITE ELASTIC PLATES ON WATER OF FINITE DEPTH

A class of mixed boundary value problems (BVPs) arising in the study of scattering of surface water waves by the edges of floating structures comprising of elastic plates, with or without cracks, is examined for their solutions. It is observed that the simplest possible method of solution of such BVPs is the one that involves solution of an over-determined system of Linear Algebraic Equations. Such over-determined systems of equations are best solved by the method of least squares. Numerical results for useful practical quantities such as the "reflection" and "transmission" coefficients are obtained for one of the problems considered here.