Error control based model reduction for multiscale problems

Ohlberger M

Forschungsartikel in Sammelband (Konferenz)

Zusammenfassung

In this contribution we review a posteriori based discretization methods for variational multiscale problems and suggest a suitable conceptual approach for an efficient numerical treatment of parametrized variational multiscale problems where the parameters are either chosen from a low dimensional parameter space or consists of parameter functions from some compact low dimensional manifold that is embedded in some high dimensional or even in finite dimensional function space. The approach is based on combinations of ideas from established numerical multiscale methods and efficient model reduction approaches such as the reduced basis method.

Details zur Publikation

Buchtitel: Proceedings of Algoritmy 2012, Conference on Scientific Computing, Vysoke Tatry, Podbanske, September 9-14, 2012
Seiten: 10
Veröffentlichungsjahr: 2012
Sprache, in der die Publikation verfasst ist: Englisch
Link zum Volltext: http://www.uni-muenster.de/math/num/publications/2012/Ohl12a