[Dune] [#870] volume() is not precise for non-affine geometries

[Dune]

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

User who did this - Jö Fahlke (joe) 

Attached to Project - Dune
Summary - volume() is not precise for non-affine geometries
Task Type - Bug Report
Category - Grid
Status - New
Assigned To - 
Operating System - Unspecified / All
Severity - Low
Priority - Normal
Reported Version - SVN (pre2.1)
Due in Version - Undecided
Due Date - Undecided
Details - Am Fri,  4. Feb 2011, 17:27:38 +0100 schrieb joe at dune-project.org:
> Modified:
>    trunk/dune/grid/genericgeometry/test/testbasicgeometry.cc
> Log:
> [testbasicgeometry.cc] Extend to test all GeometryTypes up and includeing
> dim=3, in affine and non-affine versions.

The test now checks the volume of the basicgeometry-objects (as far as I have
been able to calculate a reference value for the volume, i.e. feel free to
supply values for the 3D non-affine geometries).  The volume check currently
fails for non-affine quadrilaterals in a 3D space, yielding

  Volume: 1.22474, but 1.28079 was expected!

I am not 100% sure that I calculated the area correctly though; if someone
else wants to have a go, the corners of the quadrilateral are (x,y,z):

  (0,0,0), (1,0,0), (0,1,0), (1,1,1)


More information can be found at the following URL:
http://www.dune-project.org/flyspray/index.php?do=details&task_id=870

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