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 Cet article a éte moissonné depuis la source EDP Sciences

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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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     author = {Sarah Delcourte and Loula Fezoui and Nathalie Glinsky-Olivier},
     title = {A high-order {Discontinuous} {Galerkin} method for the seismic wave propagation},
     journal = {ESAIM. Proceedings},
     pages = {70--89},
     year = {2009},
     volume = {27},
     doi = {10.1051/proc/2009020},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/proc/2009020/}
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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

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