Error analysis of Trefftz-discontinuous Galerkin methods for the time-harmonic Maxwell equations
Metadata only
Date
2011-02Type
- Report
Abstract
In this paper, we extend to the time-harmonic Maxwell equations the p-version analysis technique developed in [R. Hiptmair, A. Moiola and I. Perugia, Plane wave discontinuous Galerkin methods for the 2D Helmholtz equation: analysis of the p-version, SIAM J. Numer. Anal., 49 (2011), 264-284] for Treff tz-discontinuous Galerkin approximations of the Helmholtz problem. While error estimates in a mesh-skeleton norm are derived parallel to the Helmholtz case, the derivation of estimates in a mesh-independent norm requires new twists in the duality argument. The particular case where the local Treff tz approximation spaces are built of vector-valued plane wave functions is considered, and convergence rates are derived. Show more
Publication status
unpublishedJournal / series
Research reportsVolume
(2011/09)Publisher
Seminar für Angewandte Mathematik, ETHSubject
Time-harmonic Maxwell's equation; Discontinuous Galerkin methods; Treff tz methods; p-version error analysis; Duality estimates; Plane wavesOrganisational unit
03632 - Hiptmair, Ralf / Hiptmair, Ralf
More
Show all metadata