* by the @p execute_coarsening_and_refinement function can do some
* smoothing of the triangulation. Note that mesh smoothing is only
* done for two or more space dimensions, no smoothing is available
- * at present for one spatial dimension. In the sequel, let
+ * at present for one spatial dimension. In the following, let
* <tt>execute_*</tt> stand for @p execute_coarsening_and_refinement.
*
* For the purpose of smoothing, the
* Select no smoothing at all.
* </ul>
*
+ * @note While it is possible to pass all of the flags discussed above to
+ * objects of type parallel::distributed::Triangulation, it is not always
+ * possible to honor all of these smoothing options if they would require
+ * knowledge of refinement/coarsening flags on cells not locally owned by
+ * this processor. As a consequence, for some of these flags, the ultimate
+ * number of cells of the parallel triangulation may depend on the number of
+ * processors into which it is partitioned.
+ *
*
* <h3>Material and boundary information</h3>
*