A new meshless approach to deal with interfaces in seismic problems

Since methods based on finite differences are the dominant methods for seismic wave propagation, the generalized finite differences method may join with them to offer its main advantage, the possibility of using an irregular cloud of nodes. We analyze the problem of a plane wave in a heterogeneous medium. We obtain heterogeneous schemes for P-SV and SH waves, considering the elastic parameters and the density as linear functions. With the aim of analyzing the accuracy of these schemes we compare the obtained amplitudes with the theoretical amplitudes for reflected and transmitted waves and we verify that the convergence order is preserved.