Error control based model reduction for multiscale problems
Mario Ohlberger · 2015
In this contribution we review a posteriori based discretization methods for variational multiscale problems and suggest a suitable conceptual approach for an ecient 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 innite dimensional function space. The approach is based on combinations of ideas from established numerical multiscale methods and ecient model reduction approaches such as the reduced basis method.