A Symmetric Trefftz-DG Formulation based on a Local Boundary Element Method for the Solution of the Helmholtz Equation

Abstract : A symmetric Trefftz Discontinuous Galerkin formulation, for solving the Helmholtz equation with piecewise constant coefficients, is built by integration by parts and addition of consistent terms. The construction of the corresponding local solutions to the Helmholtz equation is based on a boundary element method. The numerical experiments, which are presented, show an excellent stability relatively to the penalty parameters, and more importantly an outstanding ability of the method to reduce the instabilities known as the "pollution effect" in the literature on numerical simulations of long-range wave propagation.
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https://hal.inria.fr/hal-01218784
Contributor : Vanessa Mattesi <>
Submitted on : Wednesday, October 21, 2015 - 4:47:42 PM
Last modification on : Friday, October 11, 2019 - 8:22:42 PM
Long-term archiving on : Friday, April 28, 2017 - 6:58:40 AM

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Hélène Barucq, A Bendali, M Fares, Vanessa Mattesi, Sébastien Tordeux. A Symmetric Trefftz-DG Formulation based on a Local Boundary Element Method for the Solution of the Helmholtz Equation. [Research Report] RR-8800, INRIA Bordeaux. 2015, pp.31. ⟨hal-01218784⟩

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