Abstract
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.
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Antonietti, P.F., Mazzieri, I., Quarteroni, A., Rapetti, F. (2014). High Order Space-Time Discretization for Elastic Wave Propagation Problems. In: Azaïez, M., El Fekih, H., Hesthaven, J. (eds) Spectral and High Order Methods for Partial Differential Equations - ICOSAHOM 2012. Lecture Notes in Computational Science and Engineering, vol 95. Springer, Cham. https://doi.org/10.1007/978-3-319-01601-6_6
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DOI: https://doi.org/10.1007/978-3-319-01601-6_6
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