Differential Quadrature (DQ) is a high-order numerical scheme, yielding very accurate results by use of very small number of nodal points. But it requires the functions to be determined highly differentiable. In the presence of material discontinuity in an elastic medium, direct application of DQ would yield poor results, and this issue has been addressed through a numerical example in this paper. After that, a multi-domain DQ approach has been proposed to solve the discontinuity difficulty. The approach is characterized by being first-order accurate at the interfaces of two different materials, but high-order accurate elsewhere. Numerical examples are given to demonstrate the effectiveness of the method.
