I am doing a "force density" method to generate a mesh under certain load.

The original mesh is like this:

Original Mesh

Then, I generate a IncidenceMatrix from the graph for further matrix transformation and get the points of these vertex under certain load. Those points are plotted here:

enter image description here

The question is, these points have lost the original edge relationship of the original graph...

I'd like to also draw the edges between those points, as the original one. "Mesh-> Full", or "Mesh->All" do not give the right plot...

How can I do?