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Non-Conforming Nitsche Interfaces for Edge Elements in Curl–Curl-Type Problems.

Authors :
Roppert, K.
Schoder, S.
Toth, F.
Kaltenbacher, M.
Source :
IEEE Transactions on Magnetics. May2020, Vol. 56 Issue 5, p1-7. 7p.
Publication Year :
2020

Abstract

In this article, a methodology to incorporate non-conforming interfaces between several conforming mesh regions is presented for Maxwell’s curl–curl problem. The derivation starts from a general interior penalty discontinuous Galerkin formulation of the curl–curl problem and eliminates all interior jumps in the conforming parts but retains them across non-conforming interfaces. Therefore, it is possible to think of this Nitsche approach for interfaces as a specialization of discontinuous Galerkin on meshes, which are conforming nearly everywhere. The applicability of this approach is demonstrated in two numerical examples, including parameter jumps at the interface. A convergence study is performed for h-refinement, including the investigation of the penalization- (Nitsche-) parameter. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00189464
Volume :
56
Issue :
5
Database :
Academic Search Index
Journal :
IEEE Transactions on Magnetics
Publication Type :
Academic Journal
Accession number :
142817073
Full Text :
https://doi.org/10.1109/TMAG.2020.2980477