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Séminaire MACS (Modélisation, Analyse et Calcul Scientifique).
Andrea Moiola: "Trefftz discontinuous Galerkin method with evanescent plane waves"
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Europe/Paris
Description
Classical Trefftz discontinuous Galerkin methods approximate Helmholtz solutions using propagative plane waves and are subject to strong numerical instabilities.
Evanescent plane wave bases can substantially mitigate this phenomenon.
We propose a simple recipe to select such basis functions.
We show that the numerical results obtained by the Ultraweak Variational Formulation (UWVF) greatly improve thanks to this choice.
This is a joint work with Nicola Galante (ENSTA) and Emile Parolin (Sorbonne/INRIA).