2023 Volume 79 Issue 15 Article ID: 22-15024
This paper presents the method of fundamental solutions (MFS) for anti-plane wave problems of anisotropic materials. MFS is a numerical simulation method of mesh-free type and expresses an approximate solution using the fundamental solution of the target problem. In the MFS, the approximation coefficients are determined by solving the system of equations based on the prescribed boundary conditions. In this paper, we have applied three types of MFS (Standard MFS, LS-MFS, and OMP-MFS) to wave scattering problems. We discussed the performance of the MFS by comparing with a reference solution obtained by the boundary element method. From the analysis results, we confirmed that the MFS is superior in convergence for materials whose anisotropic effect is not so strong. On the other hand, for materials with strong anisotropy, the MFS shows poor convergence.
