In this work we consider the numerical solution of elastic wave propagation problems in heterogeneous media. Our approximation is based on a Discontinuous Galerkin spectral element method coupled with a fourth stage Runge-Kutta time integration scheme. We partition the computational domain into non-overlapping subregions, according to the involved materials, and in each subdomain a spectral finite element discretization is employed. The partitions do not need to be geometrically conforming; furthermore, different polynomial approximation degrees are allowed within each subdomain. The numerical results show that the proposed method is accurate, flexible and well suited for wave propagation analysis.
CITATION STYLE
Antonietti, P. F., Mazzieri, I., Quarteroni, A., & Rapetti, F. (2014). High order space-time discretization for elastic wave propagation problems. In Lecture Notes in Computational Science and Engineering (Vol. 95, pp. 87–97). Springer Verlag. https://doi.org/10.1007/978-3-319-01601-6_6
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