We present a survey of the nonconforming Trefftz virtual element method for the Laplace and Helmholtz equations. As for the latter, we show 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.

Mascotto, L., Perugia, I., Pichler, A. (2022). The Nonconforming Trefftz Virtual Element Method: General Setting, Applications, and Dispersion Analysis for the Helmholtz Equation. In L.B.d.V. P. F. Antonietti (a cura di), The Virtual Element Method and its Applications (pp. 363-410). Cham : Springer [10.1007/978-3-030-95319-5_9].

The Nonconforming Trefftz Virtual Element Method: General Setting, Applications, and Dispersion Analysis for the Helmholtz Equation

Mascotto, Lorenzo
;
2022

Abstract

We present a survey of the nonconforming Trefftz virtual element method for the Laplace and Helmholtz equations. As for the latter, we show 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.
Capitolo o saggio
virtual elements, Helmholtz problem, dispersion analysis
English
The Virtual Element Method and its Applications
P. F. Antonietti, L. Beirao da Veiga, G. Manzini
2022
978-3-030-95318-8
31
Springer
363
410
Mascotto, L., Perugia, I., Pichler, A. (2022). The Nonconforming Trefftz Virtual Element Method: General Setting, Applications, and Dispersion Analysis for the Helmholtz Equation. In L.B.d.V. P. F. Antonietti (a cura di), The Virtual Element Method and its Applications (pp. 363-410). Cham : Springer [10.1007/978-3-030-95319-5_9].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/393845
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