SH WAVE PROPAGATION WITH RADIAL POINT INTERPOLATION AND DISCONTINUOUS GALERKIN METHOD

Numerical methods, which purpose are to solve differential equations, are generally categorized into two kinds; mesh-based and meshless-based. Mesh-based numerical methods, namely the Finite Element Method (FEM) and the Finite Volume Method (FVM), requires the generating of subdomain, which is called the mesh process. However, for complex domain conditions, the generation of mesh will take considerable time. One attempt to avoid this problem is the usage of meshless method, which constructs the domain by spreading nodes across it. One of the method is Radial Point Interpolation Method (RPIM). This paper will discuss the application of RPIM to approximate the SH wave equation by using numerical time integration with discontinuous Galerkin Method (DGM). The case in study is the wave propagation on elastic medium, and the SH-wave with Ricker function as the source. To verify the numerical result, the time history displacement from a receiver would be compared with the exact solution. The simulation result would be displayed as snapshots of wave propagation from certain time periods.