Hi folks,

As I understand it, the standard way of looping through a finite element 
problem is to iterate through (1) each cell in the mesh, (2) each 
quadrature point in the cell, (3) the ith shape functions, and (4) the jth 
shape functions. Given that, would it be possible to copy a finite element 
field evaluated at all of the quadrature points into an (n_cells x 
n_q_points_per_cell) array/vector/matrix/whatever? 

My purpose for doing this would be to copy this array over to a GPU device 
in order to perform a (somewhat complicated) function inversion in parallel 
on all of the quadrature point values, and then pass the inverted points 
back to the host. I have two questions regarding this business:

   1. If, after I have iterated through all cells/quadrature points and 
   processed my data, I iterate *again* through the mesh/q_points/shape 
   functions in order to fill in my matrix as in a typical FE problem, will 
   the iteration go back through in the same way as the first time? That is, 
   will I be able to index the processed data in the same way that I indexed 
   the initial data that I copied over? This might be obvious, but I ask 
   because the cell iterators are a seemingly complicated object that I don't 
   understand fully yet.
   2. Is there a better way to do this process using already-written dealii 
   objects (e.g. in the CUDAWrappers namespace)? I ask because I'm having a 
   little bit of trouble parsing the step-64 comments, particularly regarding 
   the management of different CUDA memory locations (e.g. how often does each 
   object access global memory?). 

In any case, thank you for any help and for any general tips on the problem.

Kind regards,
Lucas

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