*
* Given a vector of @{n} one-dimensional polynomials @{P1} to @{Pn},
* this class generates @p{n} to the power of @p{dim} polynomials of
- * the form @p{ Qijk(x,y,z) = Pi(x)Pj(y)Pk(z)}.
+ * the form @p{ Qijk(x,y,z) = Pi(x)Pj(y)Pk(z)}. If the base
+ * polynomials are mutually orthogonal on the interval $[-1,1]$ or
+ * $[0,d], then the tensor product polynomials are orthogonal on
+ * $[-1,1]^d$ or $[0,1]^d$, respectively.
*
* @author Ralf Hartmann, 2000, documentation Guido Kanschat
*/
* support points. This is then fed into an object of class
* @ref{FEValues}. Even for evaluation on the unit cell, you will need
* a triangulation containing that single cell.
- *
+ *
+ * Basically, this class just declares the shape function and their
+ * derivatives on the unit cell $[0,1]^d$, and the means to transform
+ * them onto a given cell in physical space if provided by the
+ * @ref{FEValues} class with a @ref{Mapping} object.
+ *
* @author Wolfgang Bangerth, Guido Kanschat, Ralf Hartmann, 1998, 2000, 2001
*/
template <int dim>
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