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Séminaire du LJLL - 23 09 2016 14h00 : P. Antonietti

Paola Antonietti (Polytechnique de Milan)
Discontinuous Galerkin spectral element methods for earthquake simulations

Abstract
In this talk we present and analyse discontinuous Galerkin spectral element methods for the space discretization of the elastodynamics equation. The proposed approach combines the flexibility of discontinuous Galerkin methods to connect together, through a domain decomposition paradigm, spectral element blocks where high-order polynomials are used. In such a way, the spatial discretization and/or the local polynomial degree can be tailored to the region of interest. This approach is particularly well suited for the simulation of complex wave phenomena, such as the seismic response of sedimentary basins or soil-structure interaction problems, where flexibility is crucial in order to simulate correctly the wave-front field while keeping affordable the computational effort. We analyse the semi-discrete formulation as well as the fully-discrete one, which is obtained through an explicit integration scheme. Some validation benchmarks are shown to verify the accuracy, stability and performance of the proposed approach. We also present simulations of real large-scale seismic events in three-dimensional complex media that include both far-field to near-field as well as soil-structure interaction effects. The numerical results have been obtained with the high performance, open-source numerical code SPEED (https://speed.mox.polimi.it).