Hi Roy, 

   I spent some time looking through the ProjectVector::operator() code, and 
have some questions: 

K U = F  solution based projection is performed for h-refined elements. For 
p-refined, however, the dof based assignment is performed. 

—  Is there a reason for why the same K U = F based projection is not performed 
for p-refined elements?   I understand that this would be more expensive than 
what is currently being done for p-refined, but it will likely also take care 
of the non-hierarchich basis. (?)  


— Is the dof based assignment for p-refined elements the source of the error 
for hp-refinement that you had referred to in your initial email? 


— I noticed that a similar operation are performed in 
FEBase::coarsened_dof_values() and FEBase::compute_proj_constraints(). So, 
these too would need attention for hp- studies? 



Thanks, 
-Manav



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