Delcourte, Sarah; Fezoui, Loula; Glinsky-Olivier, Nathalie A high-order discontinuous Galerkin method for the seismic wave propagation. (English) Zbl 1167.86305 ESAIM, Proc. 27, 70-89 (2009). 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. Cited in 11 Documents MSC: 86A17 Global dynamics, earthquake problems (MSC2010) 74S05 Finite element methods applied to problems in solid mechanics PDFBibTeX XMLCite \textit{S. Delcourte} et al., ESAIM, Proc. 27, 70--89 (2009; Zbl 1167.86305) Full Text: DOI