paper

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

arXiv:2102.11581

Abstract

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.

arXiv admin note: substantial text overlap with arXiv:1906.09965

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