A locally conservative reduced flux reconstruction for elliptic problems

Rave Stephan, Schindler Felix

Research article in edited proceedings (conference) | Peer reviewed

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 about the publication

PublisherEberhardsteiner J, Schöberl M
Book titleSpecial Issue: 90th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM) (Volume 1903.09082)
Publishing companyJohn Wiley & Sons
StatusPublished
Release year2019
Language in which the publication is writtenEnglish
ConferenceGAMM, Wien, Österreich, undefined
DOI10.1002/pamm.201900026
Link to the full texthttp://www.uni-muenster.de/AMM/includes/ohlberger/publications/RS2019__Rave_Schindler__2019__A_locally_conservative_reduced_flux_reconstruction_for_elliptic_problems.pdf

Authors from the University of Münster

Rave, Stephan
Professorship of Applied Mathematics, especially Numerics (Prof. Ohlberger)
Schindler, Felix Tobias
Professorship of Applied Mathematics, especially Numerics (Prof. Ohlberger)