Armin Fohler, Walter Zulehner,
"Adaptive Mesh Refinement for Rotating Electrical Machines Taking into Account Boundary Approximation Errors"
, in Nicosia G., Romano V.: Scientific Computing in Electrical Engineering, Serie Mathematics in Industry, Vol. 32, Springer, Cham, Seite(n) 25-34, 2020
Adaptive Mesh Refinement for Rotating Electrical Machines Taking into Account Boundary Approximation Errors
Sprache des Titels:
Scientific Computing in Electrical Engineering
In this work we present an error estimator for a class of second order quasilinear elliptic problems in 2D. The computational domain consists of two parts?called rotor and stator in the framework of electrical motors?separated by a curvilinear interface. For the coupling of the rotor and the stator on the interface we use a Nitsche technique as described in Hollaus et al. (Nitsche-type mortaring for Maxwell?s equations, In: Progress in electromagnetics research symposium proceedings, Cambridge, pp 397?402, 5?8 July 2010). The residual error estimator is constructed similarly to the approach used in Houston et al. (IMA J Numer Anal 28:245?273, 2008) with adaptations due to the coupling strategy. The error estimator takes into account the polygonal approximation of the stator and the rotor using ideas from hierarchical error estimates.