]> https://gitweb.dealii.org/ - dealii-svn.git/commitdiff
doc for finite elements and mappings.
authorhartmann <hartmann@0785d39b-7218-0410-832d-ea1e28bc413d>
Thu, 8 Feb 2001 14:27:36 +0000 (14:27 +0000)
committerhartmann <hartmann@0785d39b-7218-0410-832d-ea1e28bc413d>
Thu, 8 Feb 2001 14:27:36 +0000 (14:27 +0000)
git-svn-id: https://svn.dealii.org/trunk@3871 0785d39b-7218-0410-832d-ea1e28bc413d

deal.II/doc/future.html

index e828730b8ceaed3f9f97a5fe663355bc6831cbcd..0156192ce22c87b4cbf21c0597c7ae0b0ab25c02 100644 (file)
     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

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