eprintid: 11124
rev_number: 23
eprint_status: archive
userid: 1
dir: disk0/00/01/11/24
datestamp: 2010-10-18 11:35:53
lastmod: 2016-01-01 12:18:50
status_changed: 2012-08-15 08:55:42
type: preprint
metadata_visibility: show
creators_name: Besier, Michael
title: Goal-Oriented Adaptivity in Space-Time Finite Element Simulations of Nonstationary Incompressible Flows
ispublished: pub
subjects: 510
divisions: 708000
keywords: Orts-Zeit-Finite-Elemente-Methode , zielorientierte a posteriori-Fehlerschätzungnonstationary incompressible flows , space-time finite element methods , goal-oriented a posteriori error estimation , adaptivity
cterms_swd: Numerische Strömungssimulation
cterms_swd: Navier-Stokes-Gleichung
cterms_swd: Finite-Elemente-Methode
cterms_swd: Galerkin-Methode
cterms_swd: A-posteriori-Abschätzung
cterms_swd: Adaptives Verfahren
abstract: Subject of this paper is the development of an a posteriori error estimator for nonstationary incompressible flow problems. The error estimator is computable and able to assess the temporal and spatial discretization errors separately. Thereby, the error is measured in an arbitrary quantity of interest because measuring errors in global norms is often of minor importance in practical applications. The basis for this is a finite element discretization in time and space. The techniques presented here also provide local error indicators which are used to adaptively refine the temporal and spatial discretization. A key ingredient in setting up an efficient discretization method is balancing the error contributions due to temporal and spatial discretization. To this end, a quantitative assessment of the individual discretization errors is required. The described method is validated by an established Navier-Stokes benchmark.
abstract_translated_lang: ger
class_scheme: msc
class_labels: 65M50, 65M60, 76D05, 76M10
date: 2010
date_type: published
id_scheme: DOI
id_number: 10.11588/heidok.00011124
portal_cluster_id: p-iwrpp
portal_order: 11124
ppn_swb: 1650298714
own_urn: urn:nbn:de:bsz:16-opus-111246
language: eng
bibsort: BESIERMICHGOALORIENT2010
full_text_status: public
series: IWR-Preprints
citation:   Besier, Michael  (2010) Goal-Oriented Adaptivity in Space-Time Finite Element Simulations of Nonstationary Incompressible Flows.  [Preprint]     
document_url: https://archiv.ub.uni-heidelberg.de/volltextserver/11124/1/Besier2010.pdf