Accuracy of Finite Element Approximations for Two-dimensional Time-harmonic Electromagnetic Boundary Value Problems Involving Non-conducting Moving Objects with Stationary Boundaries
Keywords:
Bianisotropic media, electromagnetic scattering, error analysis, finite element method, moving media, reconstruction of velocity profiles, time-harmonic electromagnetic fieldsAbstract
An analysis of the accuracy of the results computed using a finite element code in the presence of axially moving cylinders is presented. It seems that no result of this type is available in the open literature. Any material in motion is perceived as a bianisotropic medium. This generates a scattered field having two components: one has the same polarization as the incident field and the other presents the orthogonal polarization. The results on the accuracy of the copolarized field are new but are similar to those obtained in the presence of motionless media. The outcome on the accuracy of the results related to the orthogonal polarization seems to be more interesting, especially for the information content this component of the field could provide on the axial velocity profile. In particular, using a finite element simulator based on double precision arithmetic, it is shown that the range of axial velocity values over which it is possible to obtain very accurate approximations can span nine or even more decades. This allows the use of the simulator, even when the more difficult components of the field are required to be accurate, for a set of applications ranging from astrophysics to medicine.
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