INRIA
Trefftz-DG solution to the Helmholtz equation involving integral equations
Joint work with A. Bendali, M. Fares, A. Mattesi and S. Tordeux
Finite element solutions of Helmholtz equations may be polluted when addressing very large propagation domains with respect to the characteristic wavelength of the problem. Discontinuous Galerkin (DG) approximations have demonstrated a highest tolerance to the pollution effect than continuous finite element ones but it is still necessary to increase it when the computational domain is several hundreds of wavelength long. This talk aims at showing the interest of using DG approximations into a Trefftz formulation of the Helmholtz equation and the effectiveness of integral equations for handling the communication between each element.
