Non-Conforming Spectral Approximations for the Elastic Wave Equation in Heterogeneous Media

Abstract eng:
Non-conforming techniques as the Mortar spectral Element Method (MSEM) or the Discontinuous Galerkin Spectral Element Method (DGSEM) are variational approaches to discretize partial differential equations, that rely on a spectral finite element approximation of a non-overlapping subdomain partition of the computational domain. In this contribution we compare and analyse MSEM and DGSEM, giving more details on the algorithmic aspects of the two non-conforming approaches, and we address their applicability and flexibility to handle seismic wave propagation problems. The numerical strategies are implemented in the spectral elements based code GeoELSE [14].

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