Non-Conforming Nitsche Interfaces for Edge Elements in curl-curl Type Problems

Klaus Roppert*, Stefan Schoder, Florian Toth, Manfred Kaltenbacher

*Korrespondierende/r Autor/in für diese Arbeit

Publikation: Beitrag in einer FachzeitschriftArtikel

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.

Originalspracheenglisch
Aufsatznummer9034161
Seitenumfang7
FachzeitschriftIEEE Transactions on Magnetics
Jahrgang56
Ausgabenummer5
DOIs
PublikationsstatusVeröffentlicht - 2020
Extern publiziertJa

ASJC Scopus subject areas

  • !!Electronic, Optical and Magnetic Materials
  • !!Electrical and Electronic Engineering

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