The finite-element modelling of electromagnetic fields

摘要

The finite-element modeling of electromagnetic fields directly in therms of the electric or magnetic field strength is discussed. Special emphasis is given to avoiding spurious solutions and to obtaining a maximum accuracy in relation to the computationla effort required. In this context the implementation of the compatibility relations and the use of edge elements is discussed in detail. We also compare our approach with the more common methods using vector potentials. A numerical example is given showing the versatility and the accuracy of a code based on our views.