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Vectors: solution and current_local_solution
When 'PetscVector< T >::init()' (or 'NumericVector< T >::init()') is called
with an integer second argument n_local different from the first argument
N, then the vector is distributed with global size N and with n_local
elements local to the process. If n_local is not provided or is the same
as N, then a full separate vector of size N is created on each process.
System::solution uses the distributed form. This form seems suitable for
performing multiplication operations with matrices of type 'SparseMatrix<
Number >'.
System::current_local_solution,
'TransientSystem< Base >::old_local_solution', and
'TransientSystem< Base >::older_local_solution'
use the full non-distributed form. Although the size is the full N, only
the entries corresponding to process's local dofs and the ghost dofs it
needs are non-zero. This form seems suitable for use in interpolating
values in elements.