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Title: Adaptive time step control for higher order variational time discretizations applied to convection-diffusion equations
Authors: Ahmed, NaveedJohn, Volker
Issue Date: 2014
Published in: Preprint / Weierstraß-Institut für Angewandte Analysis und Stochastik , Volume 1945, ISSN 2198-5866
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
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

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