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 language | English |
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Article number | 9034161 |
Number of pages | 7 |
Journal | IEEE Transactions on Magnetics |
Volume | 56 |
Issue number | 5 |
DOIs | |
Publication status | Published - 2020 |
Externally published | Yes |
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