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

, , and . (2021)cite arxiv:2102.11581Comment: arXiv admin note: substantial text overlap with arXiv:1906.09965.

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.

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2102.11581.pdf

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