The nonconforming Trefftz virtual element method: general setting,
applications, and dispersion analysis for the Helmholtz equation
L. Mascotto, I. Perugia, and A. Pichler. (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.
%0 Generic
%1 mascotto2021nonconforming
%A Mascotto, L.
%A Perugia, I.
%A Pichler, A.
%D 2021
%K spacetime
%T The nonconforming Trefftz virtual element method: general setting,
applications, and dispersion analysis for the Helmholtz equation
%U http://arxiv.org/abs/2102.11581
%X 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.
@misc{mascotto2021nonconforming,
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.},
added-at = {2021-06-09T16:50:21.000+0200},
author = {Mascotto, L. and Perugia, I. and Pichler, A.},
biburl = {https://www.bibsonomy.org/bibtex/2f154658f8f80d4c8e887c2046c7d2005/dagon},
description = {2102.11581.pdf},
interhash = {562f41387bf151797cc8cfa4c4c8abcd},
intrahash = {f154658f8f80d4c8e887c2046c7d2005},
keywords = {spacetime},
note = {cite arxiv:2102.11581Comment: arXiv admin note: substantial text overlap with arXiv:1906.09965},
timestamp = {2021-06-09T16:50:21.000+0200},
title = {The nonconforming Trefftz virtual element method: general setting,
applications, and dispersion analysis for the Helmholtz equation},
url = {http://arxiv.org/abs/2102.11581},
year = 2021
}