like to implement in future versions. Among these are the following
topics:
<ul>
+ <li> <p> <strong>Finite elements and mappings:</strong> Currently
+ (Dez 00-Feb 01) we (Ralf Hartmann and Guido Kanschat) totally
+ reimplement all finite elements and the mapping between the
+ unit cell and the real cells. As result the Lagrange finite
+ elements will be easily extendable to higher degree. E.g. for
+ discontinous FEs we've already hardcoded Q1-Q10. Furthermore
+ in future we won't be restricted to Q1 mapping as before, but
+ we will have Qp mappings of arbitrary degree p. This allows
+ to approximate curved boundaries not only by straight lines
+ (linear approximation) but also by quadratic, cubic, etc
+ approximation. The finite elements will be able to be
+ combined with arbitrary mappings. So in future we can use
+ subparametric, iso- as well as superparametric elements. Last
+ but not least the new implementation will allow the use of
+ non-conforming elements whose shape functions depend on the
+ shape of the real cell (See item 'Non-conforming elements').
+ </p>
+
+ <p>
+ The new implementation uses a totally new structure of
+ communication between FEValues, the FiniteElements and the
+ Mappings. Despite of this the new structure will almost not be
+ 'visible' to the user of <acronym>deal.II</acronym> as we try
+ to retain the interface to the user (mainly that of FEValues)
+ as far as possible.
+ </p>
+
+ <p>
+ This new functionality will be included in the next major
+ version of <acronym>deal.II</acronym>.
+ </p>
+
<li> <p>
<strong>Multigrid:</strong> We are working on an
implementation of multigrid methods for