[Dune] [#571] MonomLocalInterpolation.interpolate() is extremly unstable

Dune dune at dune-project.org
Mon Jun 29 11:14:45 CEST 2009


THIS IS AN AUTOMATED MESSAGE, DO NOT REPLY.

The following task has a new comment added:

FS#571 - MonomLocalInterpolation.interpolate() is extremly unstable
User who did this - Carsten Gräser (Carsten)

----------
Obviously this is true. However the implementation pretends to be for arbitrary order but interpolate() is useless even for moderate order. This should at least be documented. But even for small orders the implemented algorithm seems to more unstable bad.

Using the straight forward implementation with Vandermonde matrix in 1d with matlab I get an error of about 1e-11 for order 5 and 5e-8 for order 10. The result is roughly the same for solving the linear systems and multiplying with the precomputed inverse. In contrast the current implementation gives and error of about 5e-8 for order 5 and 5e+1 for order 10. In my oppinion this is a really big difference.
----------

More information can be found at the following URL:
http://www.dune-project.org/flyspray/index.php?do=details&task_id=571#comment998

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.




More information about the Dune mailing list