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Title: Higher order continuous Galerkin-Petrov time stepping schemes for transient convection-diffusion-reaction equations
Authors: Ahmed, NaveedMatties, Gunar
Issue Date: 2014
Published in: Preprint / Weierstraß-Institut für Angewandte Analysis und Stochastik , Volume 1990, ISSN 2198-5855
Publisher: Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik
Abstract: We present the analysis for the higher order continuous Galerkin-Petrov (cGP) time discretization schemes in combination with the one-level local projection stabilization in space applied to time-dependent convection-diffusion-reaction problems. Optimal a-priori error estimates will be proved. Numerical studies support the theoretical results. Furthermore, a numerical comparison between continuous Galerkin-Petrov and discontinuous Galerkin time discretization schemes will be given.
Keywords: Transient convection-diffusion-reaction problem; local projection stabilization; continuous Galerkin-Petrov method; discontinuous Galerkin method
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.
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Appears in Collections:Mathematik



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