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