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• W3048792571 abstract "Abstract The popularity of Discontinuous Galerkin (DG) methods has increased during the last years in particular with easy access to high performance computers. DG approximations gather different interesting features such as high-order accuracy, hp-adaptivity, easy parallelization but have the disadvantage of requiring a high number of degrees of freedom. DG methods are thus known to use higher computational burden and herein, we investigate the possibility of reducing it by employing an appropriate set of basis functions. We then solve the first-order elasto-acoustic wave problem in a space-time Trefftz-DG space. We use a space-time mesh with space-time polynomial basis functions. The space-time variational formulation reduces then to surface integrals set only on the skeleton of the mesh. However, the solution of the problem requires inverting a sparse matrix whose size could be very large when addressing realistic geophysical problems. A direct implementation of the Trefftz-DG formulation creates thus extra cost as compared to that of standard DG formulation where the space and time integrations are performed one by one after another. We then propose an approximate formulation which amounts to inverting the block-diagonal component of the Trefftz-DG matrix. We then end up with an explicit representation of the wavefield which is stable provided a CFL condition is satisfied." @default.
• W3048792571 created "2020-08-18" @default.
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• W3048792571 date "2020-01-01" @default.
• W3048792571 modified "2023-09-25" @default.
• W3048792571 title "Explicit Polynomial Trefftz-DG Method for Space-Time Elasto-Acoustics" @default.
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• W3048792571 doi "https://doi.org/10.1007/978-3-030-39647-3_31" @default.
• W3048792571 hasPublicationYear "2020" @default.
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