A Symmetric Trefftz-DG formulation based on a local boundary element method for the solution of the Helmholtz equation
Résumé
A general symmetric Trefftz Discontinuous Galerkin method is built
for solving the Helmholtz equation with piecewise constant coefficients.
The construction of the corresponding local solutions to the Helmholtz
equation is based on a boundary element method. A series of numerical
experiments displays an excellent stability of the method relatively
to the penalty parameters, and more importantly its outstanding ability
to reduce the instabilities known as the pollution effect in
the literature on numerical simulations of long-range wave propagation.
Domaines
Analyse numérique [math.NA]Origine | Fichiers produits par l'(les) auteur(s) |
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