Based on the elastic theory assumptions, an infinite element boundary which is frequency independent is derived. The infinite element development is based on mapping functions and viscous layer for damping propagating waves. In numerical modelling the general finite element software ANSYS using its User Programmable Features (UPF) is used. Related comparisons are done with PLAXIS and ABAQUS software. In simulation of propagating waves, the numerical approach is done considering several onedimensional and two-dimensional wave propagation.