A novel finite element method for moving conductor eddy current problems

A finite element method, as an alternative to upwinding, is proposed based on the elimination of the factors which could cause numerical oscillation and instability by properly choosing a set of unconventional weighting functions. The proposed method is first developed and verified for a one-dimensional case and then extended to two-dimensional problems. The calculation results for a two-dimensional problem, along with the exact solutions and those obtained from Galerkin´s and optimal upwinding methods, show that the proposed method is superior to these other methods in terms of accuracy and freedom from oscillation