* on algebraic properties of the respective matrix, it has no chance to
* detect whether the matrix comes from a scalar or a vector valued problem.
* However, a near null space supplies exactly the needed information about
- * the components placement of vector components within the matrix. The null
+ * the components' placement of vector components within the matrix. The null
* space (or rather, the constant modes) is provided by the finite element
* underlying the given DoFHandler and for most elements, the null space
- * will consist of as many vectors as there are true arguments in
+ * will consist of as many vectors as there are `true` arguments in
* <tt>component_mask</tt> (see
* @ref GlossComponentMask),
* each of which will be one in one vector component and zero in all others.
*
* The main reason for this program is the use of the null space with the
* AMG preconditioner.
+ *
+ * This function is used in step-31, step-32, and step-42, for example.
*/
template <int dim, int spacedim>
void