Seminar in Numerical Analysis: Julien Diaz (INRIA)

Discontinuous Galerkin Method for seismic imaging in frequency domain

Seismic imaging techniques such as Reverse Time Migration (RTM) or Full Waveform Inversion (FWI) can be applied in time domain or in frequency domain. After havind recalled the principle of RTM and discussed the advantages and drawbacks of both approaches, we focus on frequential domain. We show the usefulness  of Discontinuous for solving acoustic and elastodynamic wave equation, et we apply the Interior Penalty Discontinuous Galerkin method (IPDG) to the modelling of elasto/acoustic coupling. We then present an alternative method, the Hydridizable Discontinuous Galerkin method (HDG), which reduces the number of unknowns of the global linear system thanks to the introduction of a Lagrange multiplier defined only on the faces of the cells of the mesh. We illustrate the efficiency of HDG with respect to IPDG thanks to comparisons on academic and industrial test cases.

Veranstaltung übernehmen als iCal