Hello everyone, I hope you are well.
I have a quick question which I cannot seem to wrap my hear around. I think 
it will sound confused, but anyway.
Let's say I am solving for a scalar equation. I would have a triangulation, 
then a DoFHandler and a FESystem with a multiplicity of one.
I can loop over the cells and assemble my equations.

Now, let's say I wanted to have an additional property that would be  a 
vector defined at the nodes of my triangulation using the positions of the 
nodes.
However, this vector would not be used to be interpolated at the gauss 
points, but would be use to cut the cells and do other geometric 
manipulations.
I could define another DoFHandler , and FESystem, but then when I loop over 
the cells, there would be nothing to make sure that my DOF on both 
equations are numbered in the same way.
However, I cannot defined another vector using the FESystem of my scalar 
equation, because the multiplicity is not the same.
What would be the best way to proceed?

TLDR: I would like to store additional information at the position of the 
DOFs, without including them in my vector of unknown, but I would still 
want to be able to know their position.
Is this doable?
Thanks!
Bruno


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