Edge element formulations of eddy current problems

Various formulations of eddy current problems in terms of scalar and vector potentials are reviewed in the paper. The vector potentials are approximat ed by edge finite elements and the scalar potentials by nodal ones. The for mulations are ungauged, leading, in most cases, to singular finite element equations systems. Special attention is paid to ensuring that the right-han d sides of the equations systems are consistent. The resulting numerical sc hemes prove to be as robust as the corresponding Coulomb gauged approaches realized by nodal elements. (C) 1999 Elsevier Science S.A. All rights reser ved.