A discontinuous Galerkin Trefftz type method for solving the two dimensional Maxwell equations

Håkon Sem Fure, Sébastien Pernet (), Margot Sirdey () and Sébastien Tordeux ()
Additional contact information
Håkon Sem Fure: ONERA, DTIS
Sébastien Pernet: ONERA, DTIS
Margot Sirdey: ONERA, DTIS
Sébastien Tordeux: Universite de Pau et des Pays de l’Adour, E2S-UPPA, CNRS, INRIA, équipe Magique 3D, LMAP

Partial Differential Equations and Applications, 2020, vol. 1, issue 4, 1-25

Abstract: Abstract Trefftz methods are known to be very efficient to reduce the numerical pollution when associated to plane wave basis. However, these local basis functions are not adapted to the computation of evanescent modes or corner singularities. In this article, we consider a two dimensional time-harmonic Maxwell system and we propose a formulation which allows to design an electromagnetic Trefftz formulation associated to local Galerkin basis computed thanks to an auxiliary Nédélec finite element method. The results are illustrated with numerous numerical examples. The considered test cases reveal that the short range and long range propagation phenomena are both well taken into account.

Keywords: Trefftz method; Electromagnetic wave; Nédélec finite element; Numerical methods; Transverse electric polarization; Maxwell equation; 76M10; 65N30; 76M10; 35Q61 (search for similar items in EconPapers)
Date: 2020
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s42985-020-00024-0 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:pardea:v:1:y:2020:i:4:d:10.1007_s42985-020-00024-0

Ordering information: This journal article can be ordered from
https://www.springer.com/journal/42985/

DOI: 10.1007/s42985-020-00024-0

Access Statistics for this article

Partial Differential Equations and Applications is currently edited by Zhitao Zhang

More articles in Partial Differential Equations and Applications from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().