Geodesic
A high-order Discontinuous Galerkin method for the seismic wave propagation
Sarah Delcourte1 ; Loula Fezoui1 ; Nathalie Glinsky-Olivier2
1 INRIA, NACHOS project-team, 2004 route des Lucioles, BP 93, 06902 Sophia Antipolis.
2 CERMICS and INRIA, NACHOS project-team, 2004 route des Lucioles, BP 93, 06902 Sophia Antipolis.
ESAIM. Proceedings, Tome 27 (2009), pp. 70-89.

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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 [4, 9, 20], 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.
DOI : 10.1051/proc/2009020

Sarah Delcourte 1 ; Loula Fezoui 1 ; Nathalie Glinsky-Olivier 2

1 INRIA, NACHOS project-team, 2004 route des Lucioles, BP 93, 06902 Sophia Antipolis.
2 CERMICS and INRIA, NACHOS project-team, 2004 route des Lucioles, BP 93, 06902 Sophia Antipolis. 
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     title = {A high-order {Discontinuous} {Galerkin} method for the seismic wave propagation},
     journal = {ESAIM. Proceedings},
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Sarah Delcourte; Loula Fezoui; Nathalie Glinsky-Olivier. A high-order Discontinuous Galerkin method for the seismic wave propagation. ESAIM. Proceedings, Tome 27 (2009), pp. 70-89. doi : 10.1051/proc/2009020. http://geodesic.mathdoc.fr/articles/10.1051/proc/2009020/

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