Thanks Wolfgang.I am just replying to add a couple of details that were not 
100% obvious to me. Maybe someone else will benefit from this when the 
search the post archive...

As Wolfgang stated, copying the vector that contains ghosted values 
(relevant dofs) into a completely distributed vector allows you to use 
l2_norm() on it.What I didn't realize is that the l2_norm() on a 
distributed vector calls the MPI_Allreduce behind the scene and thus no 
additional action is needed when writing your own code.


On Saturday, March 2, 2019 at 10:28:03 AM UTC-6, Wolfgang Bangerth wrote:
>
> On 3/1/19 8:54 PM, Jean Ragusa wrote: 
> > 
> > I have a solution vector with locally owned and locally relevant dofs. I 
> want 
> > to compute its L2-norm. Using the l2_norm() on it caused a Trilinos 
> error (I 
> > was going to compute the squared of the L2 norm, then do an MPI 
> Allreduce on 
> > the resulting values). 
> > 
> > So, I decided to code it "by hand" as follows: 
> > 
> > double norm_squared = 0.; 
> > const unsigned int start_ = (dist_solution.local_range().first), end_ = 
> > (dist_solution.local_range().second); 
> > 
> > for (unsigned int i = start_; i < end_; ++i) 
> >     norm_squared += std::pow(dist_solution(i),2); 
> > 
> > double norm_global =0.; 
> > MPI_Allreduce(&norm_squared, &norm_global, 1, MPI_DOUBLE, MPI_SUM, 
> > mpi_communicator); 
> > norm_global = std::sqrt(norm_global); 
> > 
> > 
> > Even though this works, I was wondering if there is a better way to do 
> this? 
>
> Yes! Create a completely distributed vector, copy your ghosted vector into 
> it, 
> and then compute the l2 norm of that completely distributed vector. That's 
> going to cost a bit of communication, but I suspect you're not doing it 
> often 
> enough to actually feel the difference :-) 
>
> Cheers 
>   W. 
>
> -- 
> ------------------------------------------------------------------------ 
> Wolfgang Bangerth          email:                 [email protected] 
> <javascript:> 
>                             www: http://www.math.colostate.edu/~bangerth/ 
>
>

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