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

2021/02/23 by Lorenzo Mascotto, Mascotto, L., Ilaria Perugia +3
Engineering · #35J05 #65N12 #65N15 #65N30 #Advanced Numerical Methods in Computational Mathematics #Electromagnetic Simulation and Numerical Methods #FOS: Mathematics #Numerical Analysis (math.NA) #Numerical methods in engineering

paper · pdf · doi:10.48550/arxiv.2102.11581

openalex publication_date 2021/02/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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