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A Discontinuous Galerkin method with a modified penalty flux for the propagation and scattering of acousto-elastic waves

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      Abstract

      We develop an approach for simulating acousto-elastic wave phenomena, including scattering from fluid-solid boundaries, where the solid is allowed to be anisotropic, with the Discontinuous Galerkin method. We use a coupled first-order elastic strain-velocity, acoustic velocity-pressure formulation, and append penalty terms based on interior boundary continuity conditions to the numerical (central) flux so that the consistency condition holds for the discretized Discontinuous Galerkin weak formulation. We incorporate the fluid-solid boundaries through these penalty terms and obtain a stable algorithm. Our approach avoids the diagonalization into polarized wave constituents such as in the approach based on solving elementwise Riemann problems.

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      Implicit-explicit Runge-Kutta methods for time-dependent partial differential equations

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        Solving elastodynamics in a fluid–solid heterogeneous sphere: a parallel spectral element approximation on non-conforming grids

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          The interior penalty discontinuous Galerkin method for elastic wave propagation: grid dispersion

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            Author and article information

            Journal
            1511.00675
            10.1093/gji/ggw070

            Geophysics, Mathematical & Computational physics

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