Hi, Folks --

Is there a function that gives the reference coordinates for each node 
of a (Lagrange) element?

The reason I ask is that I have a variable, say x(X), restricted to a 
particular side of a particular element for which I would like to 
identify any positions at which x(X0) = x0.  If any such positions 
exist, I then need to evaluate some other field variables at those 
locations, which I can easily accomplish if I know the reference 
coordinates corresponding to position X0, but not if I only know the 
value(s) of X0.

Doing this in general seems like it could be a real mess, but for lower 
order Lagrange elements it does not seem too bad.  However, I think that 
I need to know the reference coordinates of the nodes, and I have been 
unable to find an API that seems to give access to these values.  (It is 
my impression that functions such as Elem::point() give the current 
coordinates of the node, not the reference coordinates.)

Also, I realize this probably seems like kind of a bizarre thing to be 
computing, but does there happen to be any existing code in libMesh that 
could be adapted to do this kind of thing?  :-)

Thanks!

-- Boyce

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