Towards efficient geometric multigrid for isogeometric analysis
Dr. Clemens HofreitherJune 24, 2014, 3:30 p.m. S2 059
We consider geometric multigrid methods for the solution of the large,
systems arising in isogeometric analysis of elliptic partial
Previous studies have shown that geometric multigrid is independent of
size in this setting, but the iteration numbers are highly dependent on
dimension as well as the spline degree if standard smoothers are used.
more sophisticated smoothers with the goal to obtain, as far as
numbers which are robust in all mentioned parameters. It turns out that
smoothers which make use of the mass matrix seem to be good candidates
towards this goal. This is confirmed by some numerical experiments.