On Goal Oriented Time Adaptivity using Local Error Estimates

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Sammanfattning

We consider adaptive time discretization methods for ordinary differential equations where one aims to control the error in a quantity of interest of the form J(u) = ∫ j(u(t))dt with j : Rd -> R. In this setting we propose a new timestep controller based on local error estimates of the quantity of interest. The new method converges when the tolerance goes to zero.We experimentally compare the new scheme with the classic norm-based time-adaptivity based on local error estimates as well as the dual-weighted residual (DWR) method. The results show significantly lower efficiency for the DWR method. The local error based schemes are similarly efficient, with the new scheme showing significant improvement in some cases.
Originalspråkengelska
Titel på gästpublikationPAMM
Undertitel på gästpublikationProceedings in applied mathematics and mechanics
UtgivningsortWeimar
FörlagWiley-VCH Verlag
Sidor849-850
Antal sidor2
Volym17
Utgåva1
DOI
StatusPublished - 2017 dec
Evenemang88th Annual Meeting of GAMM - Bauhaus Universität Weimar, Weimar, Tyskland
Varaktighet: 2017 mar 62017 mar 10
http://jahrestagung.gamm-ev.de/

Publikationsserier

NamnProceedings in applied mathematics and mechanics
ISSN (elektroniskt)1617-7061

Konferens

Konferens88th Annual Meeting of GAMM
Förkortad titelGAMM 2017
Land/TerritoriumTyskland
OrtWeimar
Period2017/03/062017/03/10
Internetadress

Ämnesklassifikation (UKÄ)

  • Beräkningsmatematik

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