Elastic wave modeling with high dominant frequency directional point source using ADER‐DG FE scheme

Abstract

Many geophysical applications require point sources that are characterized by a Dirac Delta distribution in space. Traditional finite difference schemes use a continuous space function and meet this requirement hardly, especially with high dominant frequency. The arbitrary high‐order discontinuous Galerkin Finite‐Element (ADER‐DG FE) scheme combines a discontinuous Galerkin (DG) method with the ideas of the ADER time integration approach using arbitrary high‐order derivatives. This method solves the elastic wave equation on triangular meshes and is able to deal with point sources characterized by a Delta distribution in space at any position in the computational domain. We compare ADER‐DG scheme with Standard Staggered Grid Finite‐Difference (SSG‐FD) method and the difference is discussed in this paper. ADER‐DG shows advantage in modeling with high dominant frequency directional point source.