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

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

*Corresponding author for this work

Research output: Contribution to journalArticle

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.

Original languageEnglish
Article number9034161
Number of pages7
JournalIEEE Transactions on Magnetics
Volume56
Issue number5
DOIs
Publication statusPublished - 2020
Externally publishedYes

Keywords

  • Eddy current problem
  • magnetostatic
  • Nitsche method
  • non-conforming interface
  • Nédélec elements

ASJC Scopus subject areas

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

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