Adaptive time step control for higher order variational time discretizations applied to convection-diffusion equations

Ahmed, Naveed; John, Volker

Please use this identifier to cite or link to this item: https://oa.tib.eu/renate/handle/123456789/2968

Files in This Item:

File	Size	Format
788009559.pdf	1,24 MB	Adobe PDF	View/Open

Title:	Adaptive time step control for higher order variational time discretizations applied to convection-diffusion equations
Authors:	Ahmed, Naveed; John, Volker
URI:	https://doi.org/10.34657/1956 https://oa.tib.eu/renate/handle/123456789/2968
Issue Date:	2014
Published in:	Preprint / Weierstraß-Institut für Angewandte Analysis und Stochastik , Volume 1945, ISSN 2198-5866
Journal:	Preprint / Weierstraß-Institut für Angewandte Analysis und Stochastik
Volume:	1945
Publisher:	Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik
Abstract:	Higher order variational time stepping schemes allow an efficient post-processing for computing a higher order solution. This paper presents an adaptive algorithm whose time step control utilizes the post-processed solution. The algorithm is applied to convection-dominated convection-diffusion equations. It is shown that the length of the time step properly reflects the dynamics of the solution. The numerical costs of the adaptive algorithm are discussed.
Keywords:	Continuous Galerkin-Petrov method; discontinuous Galerkin method; post-processed solution; adaptive step length control; SUPG stabilization
Type:	report; Text
Publishing status:	publishedVersion
DDC:	510
License:	This document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties. Dieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden.
Appears in Collections:	Mathematik

Show full item record

Ahmed, Naveed and Volker John, 2014. Adaptive time step control for higher order variational time discretizations applied to convection-diffusion equations. Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik

Ahmed, N. and John, V. (2014) Adaptive time step control for higher order variational time discretizations applied to convection-diffusion equations. Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik.

Ahmed N, John V. Adaptive time step control for higher order variational time discretizations applied to convection-diffusion equations. Vol. 1945. Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik; 2014.

Ahmed, N., & John, V. (2014). Adaptive time step control for higher order variational time discretizations applied to convection-diffusion equations (Version publishedVersion, Vol. 1945). Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik.

Ahmed N, John V. Adaptive time step control for higher order variational time discretizations applied to convection-diffusion equations. Vol. 1945. Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik; 2014.