English

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

Numerical Analysis 2021-02-24 v1 Numerical Analysis

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.

Keywords

Cite

@article{arxiv.2102.11581,
  title  = {The nonconforming Trefftz virtual element method: general setting, applications, and dispersion analysis for the Helmholtz equation},
  author = {L. Mascotto and I. Perugia and A. Pichler},
  journal= {arXiv preprint arXiv:2102.11581},
  year   = {2021}
}

Comments

arXiv admin note: substantial text overlap with arXiv:1906.09965

R2 v1 2026-06-23T23:25:58.596Z