A locally conservative reduced flux reconstruction for elliptic problems

Rave Stephan, Schindler Felix

Research article in edited proceedings (conference)

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.

Details zur Publikation

Publisher: Eberhardsteiner J, Schöberl M
Book title: Special Issue: 90th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM)
Release year: 2019
Publishing company: Wiley
Language in which the publication is writtenEnglish
Link to the full text: http://www.uni-muenster.de/AMM/includes/ohlberger/publications/RS2019__Rave_Schindler__2019__A_locally_conservative_reduced_flux_reconstruction_for_elliptic_problems.pdf