The nonconforming Trefftz virtual element method: general setting, applications, and dispersion analysis for the Helmholtz equation

02/23/2021

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by   L. Mascotto, et al.

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We present a survey of the nonconforming Trefftz virtual element method for the Laplace and Helmholtz equations. For the latter, we present a new abstract analysis, based on weaker assumptions on the stabilization, and numerical results on the dispersion analysis, including comparison with the plane wave discontinuous Galerkin method.