Ruprecht, D (2014) Convergence of Parareal with spatial coarsening. PAMM, 14 (1). 1031 - 1034. ISSN 1617-7061
Abstract
The effect is investigated of using a reduced spatial resolution in the coarse propagator of the time-parallel Parareal method for a finite difference discretization of the linear advection-diffusion equation. It is found that convergence can critically depend on the order of the interpolation used to transfer the coarse propagator solution to the fine mesh in the correction step. The effect also strongly depends on the employed spatial and temporal resolution.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | Copyright © 2014 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim. This is the accepted version of the following article: Ruprecht, D. (2014), Convergence of Parareal with spatial coarsening. Proc. Appl. Math. Mech., 14: 1031–1034. doi: 10.1002/pamm.201410490, which has been published in final form at http://dx.doi.org/10.1002/pamm.201410490 |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mechanical Engineering (Leeds) > Institute of Engineering Thermofluids, Surfaces & Interfaces (iETSI) (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 19 Nov 2015 10:59 |
Last Modified: | 16 Jan 2018 09:21 |
Published Version: | http://dx.doi.org/10.1002/pamm.201410490 |
Status: | Published |
Publisher: | Wiley-VCH Verlag |
Identification Number: | 10.1002/pamm.201410490 |
Related URLs: | |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:90536 |