The application of unsplit convolutional perfectly matched layer to the arbitrary high-order discontinuous Galerkin finite element

Abstract

The method of arbitrary high-order discontinuous Galerkin finite element solves the elastic wave equations with arbitrary high-order accuracy in space and time on unstructured triangular meshes; however, the absorbing boundary condition proposed by Käser & Dumbser has some problems at corners or for grazing incidence of waves. In this paper we introduced new scheme which combine the unsplit convolutional perfectly matched layer with the absorbing boundary condition. The numerical scheme maintains the uniform high order of accuracy in space and time in the perfectly matched layer region. In the modeling test, we discussed the behavior of the attenuation coefficients in our scheme and demonstrate the efficiency for body wave and Rayleigh wave.