High Order Edge Elements for Electromagnetic Waves: Remarks on Numerical Dispersion
We recall one set of possible basis vector fields and two different sets of possible degrees of freedom, those related to “small-edges” and those defined by “moments”, for the Nédélec’s first family of high order edge elements. We thus address a dispersion analysis of the resulting methods, when the time-harmonic Maxwell’s equation for the electric field is discretized on a simplicial mesh.
The authors acknowledge the French National Research Agency (ANR) for its financial support (project MEDIMAX, ANR-13-MONU-0012). The last author warmly thanks the Università degli Studi di Verona for the possibility of studying as ERASMUS fellow at the Université Côte Azur in Nice.
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