*
* No transformation is applied to the weights, and the weights referring to
* points that live outside the reference simplex are simply discarded.
+ * Because this leads to (or *may* lead to) a sum of quadrature weights that
+ * do not equal the area of the simplex, the resulting quadrature formula
+ * is not useful for actually computing integrals.
*
* The main use of this quadrature formula is not to chop tensor product
* quadratures. Ideally you should pass to this class a quadrature formula
/**
* Return a quadrature rule with the support points of the given reference
- * cell.
+ * cell. For 1d line segments, this corresponds to the quadrature points
+ * of the trapezoidal rule, which by taking tensor products easily
+ * generalizes also to other hypercube elements (see also QTrapezoid).
+ * For all reference cell shapes, the quadrature points are ordered
+ * in the same order as the vertices of the reference cell.
*
- * @note The weights of the quadrature object are left unfilled.
+ * @note The weights of the quadrature object are left unfilled and
+ * consequently the object cannot usefully be used for actually
+ * computing integrals. This is in contrast to, for example, the QTrapez
+ * class that correctly sets quadrature weights.
*/
template <int dim>
const Quadrature<dim> &