[Dune] [#449] arbitrarily reference elements

Dune dune at dune-project.org
Tue Oct 28 18:24:32 CET 2008


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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 - arbitrarily reference elements
Task Type - Feature Request
Category - Discussion
Status - New
Assigned To - 
Operating System - Unspecified / All
Severity - Low
Priority - Normal
Reported Version - SVN
Due in Version - Undecided
Due Date - Undecided
Details - There is some interest for support of 
1) arbitrarily formed grid elements
2) subdivision of these elements into
   parts with reference elements
   (for quadrature over these parts).
   This is required both for entities
   as well as for intersections.

A suggestion for both points:

   Add two new reference element types:
   NONE: there exists no reference element and there
         is nothing to be done about it.
   SUBDIVIDED: there is no reference element but
               there exists an iterator which provides
               a set of geometries which all (must) have
               reference elements and which cover the
               whole entity/intersection.
   In both cases the geometry returned directly from the
   entity/intersection is the identity mapping (the element
   itself is its reference element). 
   In the first case only operator[] and volume are really
   meaningful.
   In the second case a iterator is provided (from the
   geometry for example) which iterates over a 
   sequence of dune geometries having real reference
   elements. 
   
   The implementation for existing codes is almost zero
   since they all have reference elements and the
   subdivision iterator either has begin()==end() or
   return a single item which is identical to the already
   implemented geometry.


More information can be found at the following URL:
http://www.dune-project.org/flyspray/index.php?do=details&task_id=449

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