P. Alotto et al., COMPARISON OF CONDITIONS V=0 AND A-CENTER-DOT-N=0 ON CONDUCTOR BOUNDARIES IN A,V-A-PSI FORMULATIONS, IEEE transactions on magnetics, 32(3), 1996, pp. 800-803
In a previous paper the authors proposed a Coulomb gauge A,V-A-psi for
mulation for quasi-static transient eddy current problems using V=0, i
nstead of A . n=0, as guage condition on the conductor boundary. Furth
er numerical experimentation using either V=0 or A . n=0 on different
parts of the conductor boundary, however, has shown that, rather unexp
ectedly, J . n=0 is numerically more weakly enforced where V=0 is used
. Hence, in spite of some advantages of V=0, A . n=0 still seems to be
a better choice, after all. A theoretical explanation for this unexpe
cted drawback of V=0 has been found and is presented here in detail.