// ---------------------------------------------------------------------
//
-// Copyright (C) 2000 - 2016 by the deal.II authors
+// Copyright (C) 2000 - 2017 by the deal.II authors
//
// This file is part of the deal.II library.
//
* with the same number of degrees of freedom as the @p Qp elements but using
* linear interpolation instead of higher order one. This type of element is
* also called macro element in the literature as it really consists of
- * several smaller elements, namely <i>p</i><tt><sup>dim</sup></tt>.
+ * several smaller elements, namely <i>p</i><tt><sup>dim</sup></tt> such
+ * sub-cells.
*
* The numbering of degrees of freedom is done in exactly the same way as in
* FE_Q of degree @p p. See there for a detailed description on how degrees of
* whereas these elements reach only <i>(h/p)<sup>2</sup></i>. For these two
* reasons, this element is usually not very useful as a standalone. In
* addition, any evaluation of face terms on the boundaries within the
- * elements becomes impossible with this element.
+ * elements becomes impossible with this element because deal.II does not
+ * have the equivalent of FEFaceValues for lower-dimensional integrals
+ * in the interior of cells.
*
* Nonetheless, there are a few use cases where this element actually is
* useful:
* <ol>
*
* <li> Systems of PDEs where certain variables demand for higher resolutions
- * than the others and the additional degrees of freedom should be spend on
+ * than the others and the additional degrees of freedom should be spent on
* increasing the resolution of linears instead of higher order polynomials,
* and you do not want to use two different meshes for the different
* components. This can be the case when irregularities (shocks) appear in the
* solution and stabilization techniques are used that work for linears but
* not higher order elements. </li>
*
- * <li> Stokes/Navier Stokes systems as the one discussed in step-22 could be
+ * <li> Stokes/Navier Stokes systems such as the one discussed in step-22 could be
* solved with Q2-iso-Q1 elements for velocities instead of Q2 elements.
* Combined with Q1 pressures they give a stable mixed element pair. However,
- * they perform worse than the standard approach in most situations. </li>
+ * they perform worse than the standard (Taylor-Hood $Q_2\times Q_1$)
+ * approach in most situations. </li>
*
* <li> Preconditioning systems of FE_Q systems of higher order @p p with a
* preconditioner based on @p Qp-iso-Q1 elements: Some preconditioners like