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

[Dune]

THIS IS AN AUTOMATED MESSAGE, DO NOT REPLY.

The following task has a new comment added:

FS#870 - volume() is not precise for non-affine geometries
User who did this - Oliver Sander (sander)

----------
I think this is pretty dangerous.  If I call a method called 'volume' I expect it to compute the volume, and not some coarse approximation.  And the semantics of a method called 'volume' will appear to be so obvious that I will most likely not read the documentation, and hence I will not see any warnings there about approximation errors.  On the other hand if I am interested in exact approximation results for my favourite discretization I will need the exact volume, and errors stemming from lack of precision there will be very hard to find.

Without having thought about it too much, I don't see why it is impossible to compute the exact (up to machine precision) volume of a bilinear quadrilateral.  A bilinear quad consists of second-order polynomials.  Shouldn't then a second-order quadrature formula do?
----------

More information can be found at the following URL:
http://www.dune-project.org/flyspray/index.php?do=details&task_id=870#comment2414

You are receiving this message because you have requested it from the Flyspray bugtracking system.  If you did not expect this message or don't want to receive mails in future, you can change your notification settings at the URL shown above.