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A high-order discontinuous Galerkin method for the seismic wave propagation. (English) Zbl 1167.86305

Summary: We are interested in the simulation of P-SV seismic wave propagation by a high-order Discontinuous Galerkin method based on centered fluxes at the interfaces combined with a leap-frog time-integration. This non-diffusive method, previously developed for the Maxwell equations, is particularly well adapted to complex topographies and fault discontinuities in the medium. We prove that the scheme is stable under a CFL type condition and that a discrete energy is preserved on an infinite domain. Convergence properties and efficiency of the method are studied through numerical simulations in two and three dimensions of space.

MSC:

86A17 Global dynamics, earthquake problems (MSC2010)
74S05 Finite element methods applied to problems in solid mechanics
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