A 2D CHEBYSHEV DIFFERENTIAL OPERATOR FOR THE ELASTIC-WAVE EQUATION

This work analyses the performance of a two-dimensional Chebyshev diff erential operator for solving the elastic wave equation. The technique allows the implementation of non-periodic boundary conditions at the four boundaries of the numerical mesh, which requires a special treatm ent of these conditions based on one-dimensional characteristics. Tn a ddition, spatial grid adaptation by appropriate one-dimensional coordi nate mappings allows a more accurate modeling of complex media, and re duction of the computational cost by controlling the minimum grid spac ing. The examples illustrate the ability of the method to simulate Ray leigh waves around a corner and adapt the mesh to the model geometry. In addition, a domain decomposition example shows how the boundary tre atment handles wave propagation from one mesh to another mesh.