[Dune] [#427] generic reference elements

[Dune]

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A new Flyspray task has been opened.  Details are below. 

User who did this - Andreas Dedner (dedner) 

Attached to Project - Dune
Summary - generic reference elements
Task Type - Feature Request
Category - Grid
Status - New
Assigned To - 
Operating System - Unspecified / All
Severity - Low
Priority - Normal
Reported Version - SVN
Due in Version - Undecided
Due Date - Undecided
Details - We have implemented generic geometries for all existing reference elements and also for simplex  elements for dimension > 3 (as decided in Berlin).
The implementation and an incomplete docu also describing the numbering convention is in grid/genericgeometry

But we were not able to generically reproduce the same numbering of all subentities used in the dune reference elements.

Q: should we switch to new reference elements?
-----------------------------------------------
Remarks to the different geometry types:
(*,1): no change
(simplex,2): no change except
  codim 1 subentites are 
  numbered 2-i
(cube,2): no change
(simplex,3): changes only for codim
   1: numbered 3-i
   2: complex change but 
      renumbering available
(cube,3): changes only for codim 
   2: as for simplex
(pyramid,3): changes for all codims:
   the numbering in dune is not very consistent
   for example in the bottom face with the 
   2d cube...
(prisma,3): changes in codims
   1 and 2.
(cube,n): changes for all codim except 0,1,dim
   but no renumbering yet available.
Note: the sub-sub-entity numbering is 
      inconsistent in most cases.
--------------------------------------------
Suggestion: 
1) we would like to change the pyramids
   and the prisma in 3d and introduce new
   simplex reference elements for dim>3.
2) it would be nicely consistent to change
   the (simplex,2) and (simplex,3) numbering.
3) We need to implement the renumbering for
   the dune cubes (Peter could you give us
   a description for the dune reference cubes?)


More information can be found at the following URL:
http://www.dune-project.org/flyspray/index.php?do=details&task_id=427

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