A locally conservative reduced flux reconstruction for elliptic problems

Abstract

In the context of model order reduction of parametric elliptic problems, we present a methodology to reconstruct a conforming flux from a given reduced solution, that is locally conservative with respect to the underlying finite element grid. All components of the procedure depend separably on the parameter and allow for further use in offline/online decomposed computations, for instance in the context of a posterior error estimation or flow problems.

References in corpus (2)

• Conservative model reduction for finite-volume models
• Error control for the localized reduced basis multi-scale method with adaptive on-line enrichment