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.< >