I'm looking for a Mathematica program/function with which I'd be able to specify two objects in 3D space, each at a different surface potential, and then the program would calculate (using Finite Element Analysis I assume?) the electric field in the region around them, allow me to integrate that field over some region, and also let me see the field as a vector field or cool contour plot like this.
I've searched some and found stuff like this page of Mathematica demonstrations, but they're all either too specific (just one type of shape) or too simple.
Does anyone know of a more general program that already exists? Thank you!