Thank you Julien.
That does help, though I think your last screenshot is over my head a bit.
And I realize sheepishly that it does include the Jacobian now that I went through it again.
I think my confusion stems from the fact that I am trying to run FEM simulations in a sort of weird coordinate system with an equation that I believe is correct. But I am getting strange results that are unphysical when I try to switch from a problem involving cartesian coordinates plus an extra one to one involving polar coordinates plus an extra one, and so I thought maybe the error came from there.
Which I mention here.
Anyway. Thanks Again!