Commun. Comput. Phys., 11 (2012), pp. 660-673.

Performance Analysis of a High-Order Discontinuous Galerkin Method Application to the Reverse Time Migration

Caroline Baldassari 1*, Helene Barucq 1, Henri Calandra 2, Bertrand Denel 2, Julien Diaz 1

1 INRIA Bordeaux Research Center, Project Team Magique3D, Avenue de l'universite, 64013 Pau Cedex, France; and LMA, CNRS UMR 5142, Universite de Pau, Avenue de l'universite, 64013 Pau Cedex, France.
2 TOTAL, Avenue Larribau, 64000 Pau, France.

Received 29 December 2009; Accepted (in revised version) 17 December 2010
Available online 24 October 2011


This work pertains to numerical aspects of a finite element method based discontinuous functions. Our study focuses on the Interior Penalty Discontinuous Galerkin method (IPDGM) because of its high-level of flexibility for solving the full wave equation in heterogeneous media. We assess the performance of IPDGM through a comparison study with a spectral element method (SEM). We show that IPDGM is as accurate as SEM. In addition, we illustrate the efficiency of IPDGM when employed in a seismic imaging process by considering two-dimensional problems involving the Reverse Time Migration.

AMS subject classifications: 65M12, 65M60, 35L05

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Key words: Interior penalty discontinuous Galerkin method, spectral element method, reverse time migration, seismic imaging process.

*Corresponding author.
Email: (C. Baldassari), (H. Barucq), (H. Calandra), (B. Denel), (J. Diaz)

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